Math Statement

Problem 14901

Simplify the expression $\frac{10 t^{2}-t}{5 t}$ .

See Solution

Problem 14902

Calculate $f(-x)$ for the function $f(x)=-2 x^{2}+3 x+3$ .

See Solution

Problem 14903

Calculate $f(-9)$ for the function $f(x)=|x|-6$ .

See Solution

Problem 14904

Solve the equation $4 x^{2} = 7 x + 36$ by factoring. Provide the solution set.

See Solution

Problem 14905

Calculate $-f(x)$ for the function $f(x)=|x|-3$ .

See Solution

Problem 14906

Calculate $-f(x)$ for the function $f(x)=-2 x^{2}-3 x-1$ .

See Solution

Problem 14907

Find $h^{\prime}(-5)$ if $h(x)=f(x)-g(x)$ , given $f(-5)=8, f'(-5)=-2, g(-5)=3, g'(-5)=5$ .

See Solution

Problem 14908

Solve the system: $\frac{y}{4}=\frac{x-y}{2}$ and $3y-x=12$ .

See Solution

Problem 14909

Calculate the value of $X_{52.056+7.23}$ .

See Solution

Problem 14910

Find the product of matrices $Y=M X$ where $M=\begin{pmatrix}1 & -1 & 0 \\ -1 & 0 & 1 \\ 0 & 1 & -1\end{pmatrix}$ and $X=\begin{pmatrix}5 \\ -3 \\ 10\end{pmatrix}$ .

See Solution

Problem 14911

Find the matrix $C$ given $A=\begin{bmatrix}7 & -5 \\ 10 & 6\end{bmatrix}$ and $B=\begin{bmatrix}6 & 2 \\ -18 & 14\end{bmatrix}$ , where $C=-2A-B$ .

See Solution

Problem 14912

Find the integral of $\frac{1}{x^{2}-x+1}$ with respect to $x$ .

See Solution

Problem 14913

Find the value of the function $f(x)=4x-9$ at $x=3$ . What is $f(3)$ ?

See Solution

Problem 14914

Calculate $g(10)$ for the function $g(x) = 3(x-1)$ .

See Solution

Problem 14915

Find the end behavior of the function $h(x) = -4x^2 + 11$ as $x$ approaches $\pm \infty$ .

See Solution

Problem 14916

Simplify the expression: $\frac{18 w^{4} x^{9}}{14 w^{5} x^{5}}$ .

See Solution

Problem 14917

Calculate $\left(-4 a^{3} b^{2}\right)^{2} \cdot\left(3 a^{2} b\right)$ .

See Solution

Problem 14918

Simplify the expression: $(8 x^{3}-6 x^{4}+3)-(3 x^{3}-3+8 x^{4})$ .

See Solution

Problem 14919

Identify functions with a range of $\{y \in \mathbb{R} \mid-\infty<y<\infty\}$ :
1. $f(x)=\frac{2}{3} x-8$
2. $f(x)=x^{2}+7 x-9$
3. $f(x)=-4 x+11$
4. $f(x)=-(x+1)^{2}-4$
5. $f(x)=2^{x+3}$

See Solution

Problem 14920

Factor the polynomial $4 m^{3}-9 m^{2}-m+25$ .

See Solution

Problem 14921

Simplify the expression: $(2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n)$ .

See Solution

Problem 14922

Calculate $h(12)$ for the function $h(x) = 0.25x - 13$ .

See Solution

Problem 14923

Find the limit of the fish length model $L(t)=L_{T}-\left(L_{T}-L_{0}\right) e^{-k t}$ as $t \to \infty$ .

See Solution

Problem 14924

Find $f(g(h(3)))$ for $f(x)=-2 x^{3}$ , $g(x)=3 x-5$ , and $h(x)=x-1$ . Options: $-129$ , $-54$ , $-53$ , $-2$ .

See Solution

Problem 14925

Calculate the expression $(3+8) \cdot 15$ .

See Solution

Problem 14926

Rewrite $2(x+4)$ using the distributive property and simplify the expression.

See Solution

Problem 14927

Calculate $(5+n)^{3}$ .

See Solution

Problem 14928

Simplify $(5+n) 3$ using distribution.

See Solution

Problem 14929

Multiply 9 by $-\frac{7}{3}$ and simplify your answer.

See Solution

Problem 14930

Simplify $w^{4} \cdot w^{2}$ .

See Solution

Problem 14931

Solve the inequality $1.5a > 12 + 3a$ for the variable $a$ .

See Solution

Problem 14932

Simplify the expression: $-10 x^{2}+5 x-8 x^{2}+2$ .

See Solution

Problem 14933

Solve for $u$ : $8u - 32 = -2(u - 4)$ . Simplify your answer.

See Solution

Problem 14934

Solve for $y$ : $3(y-2)=6y+24$ . Simplify your answer.

See Solution

Problem 14935

Simplify: $3 x^{2} - 7 - 9 x^{2} + 11 + 5 x$ .

See Solution

Problem 14936

Determina el dominio de la función $f(x)=\frac{x^{2}-20}{\sqrt{x+6}}-\frac{x-4}{x^{2}-49}$ .

See Solution

Problem 14937

Find the zeros of the function $g(x)=3x^{2}+5x+2$ using the quadratic formula. What are the zeros?

See Solution

Problem 14938

Encuentra las nuevas coordenadas del punto $P(4, -3)$ tras aplicar la transformación $g(x)=3-f(x+4)$ .

See Solution

Problem 14939

Determine the zeros of the function $f(x)=2x^{2}+10x+11$ and identify the $x$ -intercepts. Choose A, B, or C.

See Solution

Problem 14940

Calcula $a+b$ en el modelo de Jenss: $y=78+a x-e^{b-x}$ , sabiendo que $y(0)=55$ y $y(4)=103$ . Redondea a dos decimales.

See Solution

Problem 14941

Encuentra la temperatura máxima de la función $T(x) = -x^{2} + 10x - 2$ para el cultivo de bacterias.

See Solution

Problem 14942

Solve the equation: $2(2t + 4) = \frac{3}{4}(24 - 8t)$ .

See Solution

Problem 14943

Order the numbers from smallest to largest: $|-32|$ , $22$ , $-16$ , $-|21|$ , $|-10|$ .

See Solution

Problem 14944

Find the number of real solutions for the equations: $y=-2x+8$ and $y=x^2+3x-4$ . Options: A. 0 B. 1 C. 2 D. 3 E. Infinitely many.

See Solution

Problem 14945

Calculate the product of 2.01 and 0.43: $2.01 \times 0.43$ .

See Solution

Problem 14946

Solve for $x$ in the equation $\frac{9 x}{8} + \frac{x - 5}{16} = 0$ .

See Solution

Problem 14947

Evaluate $h - 4g$ for $g=3$ and $h=49$ .

See Solution

Problem 14948

Calculate the distance between the points $(-8,5)$ and $(-3,-1)$ .

See Solution

Problem 14949

Calculate the value of $\sin 45^{\circ} + \cos 50^{\circ}$ without a calculator.

See Solution

Problem 14950

Solve for $b$ in the trapezoid area formula $A = \frac{1}{2} h(a+b)$ , where $A$ is area, $h$ is height, $a,b$ are sides.

See Solution

Problem 14951

Factor completely: $7x^{2} + 35x + 42 =$

See Solution

Problem 14952

Solve for the sum: $+(-3)+(-2)=2$ . What is the result?

See Solution

Problem 14953

Calculate the value of $\frac{1}{4} \times 4$ .

See Solution

Problem 14954

Find the limit as $x$ approaches 1 for the expression $2 - 3x$ .

See Solution

Problem 14955

Simplify the following expressions:
1. $3^{8} \times 3^{4}=$
2. $8^{10} \times 8^{7}=$
3. $m^{5} \times m^{2}=$
4. $b^{12} \div b^{5}=$
5. $6^{12} \times 6^{6} \div 6^{8} \times 6^{2}=$
6. $c^{5} \times c^{4}=$

See Solution

Problem 14956

Evaluate the limit: $107 \lim _{x \rightarrow 1}(2-3 x)=-1$

See Solution

Problem 14957

Find the missing coordinate in the pair $(-4, ?)$ that satisfies the equation $6x - 4y = 9$ .

See Solution

Problem 14958

Solve for $f$ in the equation $f + 2 = -11$ .

See Solution

Problem 14959

Find the missing value in the pair $(?, \frac{3}{2})$ that satisfies the equation $6x - 4y = 9$ .

See Solution

Problem 14960

Calculate $6^{2}+3+5 \times 2$ and show the steps.

See Solution

Problem 14961

Solve for $x$ in the equation $-33=x+1$ .

See Solution

Problem 14962

Solve for $b$ in the equation: $-b + 3 = -26$ .

See Solution

Problem 14963

Solve for $v$ in the equation $8.3v = -51$ .

See Solution

Problem 14964

Calculate $(2.5 \times 10^{-10})(7 \times 10^{-6})$ and express in scientific notation.

See Solution

Problem 14965

Calculate $2^{-2} \cdot(12 \cdot 3)-5^{3}$ .

See Solution

Problem 14966

Match the expression: $27 \cdot\left(\left(3^{3}\right)^{-1}\right)$

See Solution

Problem 14967

Calculate $275.75 - 113.5 + 36.125$ and round to the correct significant figures.

See Solution

Problem 14968

Divide $4 \frac{1}{3}$ by $\frac{2}{5}$ .

See Solution

Problem 14969

Find the sum of $9.245 + 3.5725$ and round to the correct significant figures.

See Solution

Problem 14970

Calculate the sum of $5.295 + 33.75 + 2.12$ and express your answer with the correct significant figures.

See Solution

Problem 14971

1

See Solution

Problem 14972

Calculate the distance $d$ between points $A=(-3,4)$ and $B=(5,8)$ using the formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . Round to the nearest tenth.

See Solution

Problem 14973

Calculate $450 / 950.20$ and round to the correct number of significant figures using the division rule.

See Solution

Problem 14974

Calculate $0.505 \div 0.2$ and round your answer to the correct number of significant figures.

See Solution

Problem 14975

Calculate $3.25 \times 10^{-2} + 3.572 \times 10^{-3} + 6.125 \times 10^{-1}$ and round to the correct significant figures.

See Solution

Problem 14976

If $AB=49$ and $BC=22$ , find the length $AC$ .

See Solution

Problem 14977

Find $f(-7)$ for the function $f(x)=6x-3$ . Show your work: $f(-7)=$

See Solution

Problem 14978

Combine the following translations into a single translation:
21. $T_{\langle-3,3\rangle} \circ T_{\langle-2,4\rangle}$
22. $T_{\langle-4,-3\rangle} \circ T_{\langle 3,1\rangle}$
23. $T_{\langle 5,-6\rangle} \circ T_{\langle-7,5\rangle}$
24. $T_{\langle 8,-2\rangle} \circ T_{\langle-4,9\rangle}$

See Solution

Problem 14979

Factor the polynomial $-18x - 27$ completely.

See Solution

Problem 14980

Solve $8 x - 2 y = 26$ for $y$ . Find the expression for $y$ .

See Solution

Problem 14981

Find $f(3)$ for the function $f(x)=-7x+2$ . Show your work.

See Solution

Problem 14982

Solve for $m$ in the equation $\frac{m}{3}+\frac{k}{5}=2$ .

See Solution

Problem 14983

Find $g(-8)$ for the function $g(x)=-x^{2}+6$ . Show your work: $g(-8)=$

See Solution

Problem 14984

Factor the expression: $(2x-2)(x+5)$ .

See Solution

Problem 14985

Factor the polynomial $x^{2}-5x+6$ .

See Solution

Problem 14986

Find $g(-10)$ for the function $g(x)=-3 x^{2}-4 x$ . Show your work.

See Solution

Problem 14987

Find $g(1)$ for the function $g(x)=2 x^{2}-3 x+4$ .

See Solution

Problem 14988

Simplify the expression to a single power of 4: $4^{5} \cdot 4^{2}$ .

See Solution

Problem 14989

Find $f(\ln 3)$ for the function $f(x)=2 e^{2 x}$ .

See Solution

Problem 14990

Simplify $3^{6} \times 3$ to a single power of 3.

See Solution

Problem 14991

Solve for $x$ in the equation $g(x)=7$ where $g(x)=2x+1$ .

See Solution

Problem 14992

Solve the equation $x^{2}-2 x-45=2 x$ .

See Solution

Problem 14993

Solve the equation $x^{2}-2 x-45=\frac{2 x}{2}$ .

See Solution

Problem 14994

Find the function $g(x)$ after vertically stretching $f(x)=x+2$ by a factor of 5.

See Solution

Problem 14995

Calculate the value of $(3+3)^{2}$ .

See Solution

Problem 14996

Simplify the rational expression: $\frac{5 c^{2}-15 c^{3}}{20 c^{2} d+25 c^{2}}$ . Which is equivalent?

See Solution

Problem 14997

Simplify the expression $\frac{110 x y}{25 x z}$ .

See Solution

Problem 14998

Calculate $5 \frac{1}{2} \times \frac{1}{5}$ .

See Solution

Problem 14999

Simplify $\frac{2 x^{2}}{10 x^{3}-2 x^{2}}$ , $\frac{1}{10 x^{3}-1}$ , $\frac{1}{5 x-1}$ , $\frac{1}{10 x^{3}}$ .

See Solution

Problem 15000

Solve for $y$ in the equation: $2y + 5 = 4y + 13$ . Simplify your answer.

See Solution

1 ...147 148 149 150 151 152 153 ...270

Math Statement

Problem 14901

Simplify the expression 10t2−t5t\frac{10 t^{2}-t}{5 t}5t10t2−t​.

Problem 14902

Calculate f(−x)f(-x)f(−x) for the function f(x)=−2x2+3x+3f(x)=-2 x^{2}+3 x+3f(x)=−2x2+3x+3.

Problem 14903

Calculate f(−9)f(-9)f(−9) for the function f(x)=∣x∣−6f(x)=|x|-6f(x)=∣x∣−6.

Problem 14904

Solve the equation 4x2=7x+364 x^{2} = 7 x + 364x2=7x+36 by factoring. Provide the solution set.

Problem 14905

Calculate −f(x)-f(x)−f(x) for the function f(x)=∣x∣−3f(x)=|x|-3f(x)=∣x∣−3.

Problem 14906

Calculate −f(x)-f(x)−f(x) for the function f(x)=−2x2−3x−1f(x)=-2 x^{2}-3 x-1f(x)=−2x2−3x−1.

Problem 14907

Find h′(−5)h^{\prime}(-5)h′(−5) if h(x)=f(x)−g(x)h(x)=f(x)-g(x)h(x)=f(x)−g(x), given f(−5)=8,f′(−5)=−2,g(−5)=3,g′(−5)=5f(-5)=8, f'(-5)=-2, g(-5)=3, g'(-5)=5f(−5)=8,f′(−5)=−2,g(−5)=3,g′(−5)=5.

Problem 14908

Solve the system: y4=x−y2\frac{y}{4}=\frac{x-y}{2}4y​=2x−y​ and 3y−x=123y-x=123y−x=12.

Problem 14909

Calculate the value of X52.056+7.23X_{52.056+7.23}X52.056+7.23​.

Problem 14910

Find the product of matrices Y=MXY=M XY=MX where M=(1−10−10101−1)M=\begin{pmatrix}1 & -1 & 0 \\ -1 & 0 & 1 \\ 0 & 1 & -1\end{pmatrix}M=⎝⎛​1−10​−101​01−1​⎠⎞​ and X=(5−310)X=\begin{pmatrix}5 \\ -3 \\ 10\end{pmatrix}X=⎝⎛​5−310​⎠⎞​.

Problem 14911

Find the matrix CCC given A=[7−5106]A=\begin{bmatrix}7 & -5 \\ 10 & 6\end{bmatrix}A=[710​−56​] and B=[62−1814]B=\begin{bmatrix}6 & 2 \\ -18 & 14\end{bmatrix}B=[6−18​214​], where C=−2A−BC=-2A-BC=−2A−B.

Problem 14912

Find the integral of 1x2−x+1\frac{1}{x^{2}-x+1}x2−x+11​ with respect to xxx.

Problem 14913

Find the value of the function f(x)=4x−9f(x)=4x-9f(x)=4x−9 at x=3x=3x=3. What is f(3)f(3)f(3)?

Problem 14914

Calculate g(10)g(10)g(10) for the function g(x)=3(x−1)g(x) = 3(x-1)g(x)=3(x−1).

Problem 14915

Find the end behavior of the function h(x)=−4x2+11h(x) = -4x^2 + 11h(x)=−4x2+11 as xxx approaches ±∞\pm \infty±∞.

Problem 14916

Simplify the expression: 18w4x914w5x5\frac{18 w^{4} x^{9}}{14 w^{5} x^{5}}14w5x518w4x9​.

Problem 14917

Calculate (−4a3b2)2⋅(3a2b)\left(-4 a^{3} b^{2}\right)^{2} \cdot\left(3 a^{2} b\right)(−4a3b2)2⋅(3a2b).

Problem 14918

Simplify the expression: (8x3−6x4+3)−(3x3−3+8x4)(8 x^{3}-6 x^{4}+3)-(3 x^{3}-3+8 x^{4})(8x3−6x4+3)−(3x3−3+8x4).

Problem 14919

Problem 14920

Factor the polynomial 4m3−9m2−m+254 m^{3}-9 m^{2}-m+254m3−9m2−m+25.

Problem 14921

Simplify the expression: (2m2n−5n3+4m4n2)−(7n3+8m4n2−7m2n) (2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n) (2m2n−5n3+4m4n2)−(7n3+8m4n2−7m2n).

Problem 14922

Calculate h(12)h(12)h(12) for the function h(x)=0.25x−13h(x) = 0.25x - 13h(x)=0.25x−13.

Problem 14923

Find the limit of the fish length model L(t)=LT−(LT−L0)e−ktL(t)=L_{T}-\left(L_{T}-L_{0}\right) e^{-k t}L(t)=LT​−(LT​−L0​)e−kt as t→∞t \to \inftyt→∞.

Problem 14924

Find f(g(h(3)))f(g(h(3)))f(g(h(3))) for f(x)=−2x3f(x)=-2 x^{3}f(x)=−2x3, g(x)=3x−5g(x)=3 x-5g(x)=3x−5, and h(x)=x−1h(x)=x-1h(x)=x−1. Options: −129-129−129, −54-54−54, −53-53−53, −2-2−2.

Problem 14925

Calculate the expression (3+8)⋅15(3+8) \cdot 15(3+8)⋅15.

Problem 14926

Rewrite 2(x+4)2(x+4)2(x+4) using the distributive property and simplify the expression.

Problem 14927

Calculate (5+n)3(5+n)^{3}(5+n)3.

Problem 14928

Simplify (5+n)3(5+n) 3(5+n)3 using distribution.

Problem 14929

Multiply 9 by −73-\frac{7}{3}−37​ and simplify your answer.

Problem 14930

Simplify w4⋅w2w^{4} \cdot w^{2}w4⋅w2.

Problem 14931

Solve the inequality 1.5a>12+3a1.5a > 12 + 3a1.5a>12+3a for the variable aaa.

Problem 14932

Simplify the expression: −10x2+5x−8x2+2-10 x^{2}+5 x-8 x^{2}+2−10x2+5x−8x2+2.

Problem 14933

Solve for uuu: 8u−32=−2(u−4)8u - 32 = -2(u - 4)8u−32=−2(u−4). Simplify your answer.

Problem 14934

Solve for yyy: 3(y−2)=6y+243(y-2)=6y+243(y−2)=6y+24. Simplify your answer.

Problem 14935

Simplify: 3x2−7−9x2+11+5x3 x^{2} - 7 - 9 x^{2} + 11 + 5 x3x2−7−9x2+11+5x.

Problem 14936

Determina el dominio de la función f(x)=x2−20x+6−x−4x2−49f(x)=\frac{x^{2}-20}{\sqrt{x+6}}-\frac{x-4}{x^{2}-49}f(x)=x+6​x2−20​−x2−49x−4​.

Problem 14937

Find the zeros of the function g(x)=3x2+5x+2g(x)=3x^{2}+5x+2g(x)=3x2+5x+2 using the quadratic formula. What are the zeros?

Problem 14938

Encuentra las nuevas coordenadas del punto P(4,−3)P(4, -3)P(4,−3) tras aplicar la transformación g(x)=3−f(x+4)g(x)=3-f(x+4)g(x)=3−f(x+4).

Problem 14939

Determine the zeros of the function f(x)=2x2+10x+11f(x)=2x^{2}+10x+11f(x)=2x2+10x+11 and identify the xxx-intercepts. Choose A, B, or C.

Problem 14940

Calcula a+ba+ba+b en el modelo de Jenss: y=78+ax−eb−xy=78+a x-e^{b-x}y=78+ax−eb−x, sabiendo que y(0)=55y(0)=55y(0)=55 y y(4)=103y(4)=103y(4)=103. Redondea a dos decimales.

Simplify the expression $\frac{10 t^{2}-t}{5 t}$ .

Calculate $f(-x)$ for the function $f(x)=-2 x^{2}+3 x+3$ .

Calculate $f(-9)$ for the function $f(x)=|x|-6$ .

Solve the equation $4 x^{2} = 7 x + 36$ by factoring. Provide the solution set.

Calculate $-f(x)$ for the function $f(x)=|x|-3$ .

Calculate $-f(x)$ for the function $f(x)=-2 x^{2}-3 x-1$ .

Find $h^{\prime}(-5)$ if $h(x)=f(x)-g(x)$ , given $f(-5)=8, f'(-5)=-2, g(-5)=3, g'(-5)=5$ .

Solve the system: $\frac{y}{4}=\frac{x-y}{2}$ and $3y-x=12$ .

Calculate the value of $X_{52.056+7.23}$ .

Find the product of matrices $Y=M X$ where $M=\begin{pmatrix}1 & -1 & 0 \\ -1 & 0 & 1 \\ 0 & 1 & -1\end{pmatrix}$ and $X=\begin{pmatrix}5 \\ -3 \\ 10\end{pmatrix}$ .

Find the matrix $C$ given $A=\begin{bmatrix}7 & -5 \\ 10 & 6\end{bmatrix}$ and $B=\begin{bmatrix}6 & 2 \\ -18 & 14\end{bmatrix}$ , where $C=-2A-B$ .

Find the integral of $\frac{1}{x^{2}-x+1}$ with respect to $x$ .

Find the value of the function $f(x)=4x-9$ at $x=3$ . What is $f(3)$ ?

Calculate $g(10)$ for the function $g(x) = 3(x-1)$ .

Find the end behavior of the function $h(x) = -4x^2 + 11$ as $x$ approaches $\pm \infty$ .

Simplify the expression: $\frac{18 w^{4} x^{9}}{14 w^{5} x^{5}}$ .

Calculate $\left(-4 a^{3} b^{2}\right)^{2} \cdot\left(3 a^{2} b\right)$ .

Simplify the expression: $(8 x^{3}-6 x^{4}+3)-(3 x^{3}-3+8 x^{4})$ .

Factor the polynomial $4 m^{3}-9 m^{2}-m+25$ .

Simplify the expression: $(2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n)$ .

Calculate $h(12)$ for the function $h(x) = 0.25x - 13$ .

Find the limit of the fish length model $L(t)=L_{T}-\left(L_{T}-L_{0}\right) e^{-k t}$ as $t \to \infty$ .

Find $f(g(h(3)))$ for $f(x)=-2 x^{3}$ , $g(x)=3 x-5$ , and $h(x)=x-1$ . Options: $-129$ , $-54$ , $-53$ , $-2$ .

Calculate the expression $(3+8) \cdot 15$ .

Rewrite $2(x+4)$ using the distributive property and simplify the expression.

Calculate $(5+n)^{3}$ .

Simplify $(5+n) 3$ using distribution.

Multiply 9 by $-\frac{7}{3}$ and simplify your answer.

Simplify $w^{4} \cdot w^{2}$ .

Solve the inequality $1.5a > 12 + 3a$ for the variable $a$ .

Simplify the expression: $-10 x^{2}+5 x-8 x^{2}+2$ .

Solve for $u$ : $8u - 32 = -2(u - 4)$ . Simplify your answer.

Solve for $y$ : $3(y-2)=6y+24$ . Simplify your answer.

Simplify: $3 x^{2} - 7 - 9 x^{2} + 11 + 5 x$ .

Determina el dominio de la función $f(x)=\frac{x^{2}-20}{\sqrt{x+6}}-\frac{x-4}{x^{2}-49}$ .

Find the zeros of the function $g(x)=3x^{2}+5x+2$ using the quadratic formula. What are the zeros?

Encuentra las nuevas coordenadas del punto $P(4, -3)$ tras aplicar la transformación $g(x)=3-f(x+4)$ .

Determine the zeros of the function $f(x)=2x^{2}+10x+11$ and identify the $x$ -intercepts. Choose A, B, or C.

Calcula $a+b$ en el modelo de Jenss: $y=78+a x-e^{b-x}$ , sabiendo que $y(0)=55$ y $y(4)=103$ . Redondea a dos decimales.

Encuentra la temperatura máxima de la función $T(x) = -x^{2} + 10x - 2$ para el cultivo de bacterias.

Solve the equation: $2(2t + 4) = \frac{3}{4}(24 - 8t)$ .

Order the numbers from smallest to largest: $|-32|$ , $22$ , $-16$ , $-|21|$ , $|-10|$ .

Find the number of real solutions for the equations: $y=-2x+8$ and $y=x^2+3x-4$ . Options: A. 0 B. 1 C. 2 D. 3 E. Infinitely many.

Calculate the product of 2.01 and 0.43: $2.01 \times 0.43$ .

Solve for $x$ in the equation $\frac{9 x}{8} + \frac{x - 5}{16} = 0$ .

Evaluate $h - 4g$ for $g=3$ and $h=49$ .

Calculate the distance between the points $(-8,5)$ and $(-3,-1)$ .

Calculate the value of $\sin 45^{\circ} + \cos 50^{\circ}$ without a calculator.

Solve for $b$ in the trapezoid area formula $A = \frac{1}{2} h(a+b)$ , where $A$ is area, $h$ is height, $a,b$ are sides.

Factor completely: $7x^{2} + 35x + 42 =$

Solve for the sum: $+(-3)+(-2)=2$ . What is the result?

Calculate the value of $\frac{1}{4} \times 4$ .

Find the limit as $x$ approaches 1 for the expression $2 - 3x$ .

Evaluate the limit: $107 \lim _{x \rightarrow 1}(2-3 x)=-1$

Find the missing coordinate in the pair $(-4, ?)$ that satisfies the equation $6x - 4y = 9$ .

Solve for $f$ in the equation $f + 2 = -11$ .

Find the missing value in the pair $(?, \frac{3}{2})$ that satisfies the equation $6x - 4y = 9$ .

Calculate $6^{2}+3+5 \times 2$ and show the steps.

Solve for $x$ in the equation $-33=x+1$ .

Solve for $b$ in the equation: $-b + 3 = -26$ .

Solve for $v$ in the equation $8.3v = -51$ .

Calculate $(2.5 \times 10^{-10})(7 \times 10^{-6})$ and express in scientific notation.

Calculate $2^{-2} \cdot(12 \cdot 3)-5^{3}$ .

Match the expression: $27 \cdot\left(\left(3^{3}\right)^{-1}\right)$

Calculate $275.75 - 113.5 + 36.125$ and round to the correct significant figures.

Divide $4 \frac{1}{3}$ by $\frac{2}{5}$ .

Find the sum of $9.245 + 3.5725$ and round to the correct significant figures.

Calculate the sum of $5.295 + 33.75 + 2.12$ and express your answer with the correct significant figures.

Calculate the distance $d$ between points $A=(-3,4)$ and $B=(5,8)$ using the formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . Round to the nearest tenth.

Calculate $450 / 950.20$ and round to the correct number of significant figures using the division rule.

Calculate $0.505 \div 0.2$ and round your answer to the correct number of significant figures.