Math Statement

Problem 25801

Use the properties of logarithms to expand the logarithmic expression. ln(xx2+6)\ln \left(x \sqrt{x^{2}+6}\right)

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Problem 25802

442PCCCl77{ }^{4} 42 \mathrm{PCCCl}_{7} 7 Exam (A2) S. Hogan \begin{tabular}{|l|l|} \hline FR2 & Fully factor each expression. \\ \hline A & 6x3+15x26 x^{3}+15 x^{2} \end{tabular} 6x3+15x2+9x6 x^{3}+15 x^{2}+9 x 3x(2x2+5x+3)3 x\left(2 x^{2}+5 x+3\right) icesp qoing \begin{tabular}{l|l} B & 4x3+20x29x454 x^{3}+20 x^{2}-9 x-45 \end{tabular} 2x(2x2+10x)3(3x+15)2 x\left(2 x^{2}+10 x\right)-3(3 x+15) 3
C 27x3+827 x^{3}+8 3x(9x2)+423 x\left(9 x^{2}\right)+4^{2} 2
D 2x415x3+23x2+15x252 x^{4}-15 x^{3}+23 x^{2}+15 x-25 25)215231525-25){ }^{2}-15 \quad 2315-25 1501-50

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Problem 25803

Find f(0)f^{\prime}(0) for the following functions 2) f(x)=csc3(x22x+1)2log43xf(x)=\csc ^{3}\left(x^{2}-2 x+1\right)-2 \log _{4} 3^{x}

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Problem 25804

16/206a3d when a=1,d=2\begin{array}{c}16 / 20 \\ 6 a-3 d \\ \text { when } a=1, d=2\end{array}

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Problem 25805

Which is the graph of the solution set of 6x+8y>506 x+8 y>50 ?

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Problem 25806

Solve the following inequality for nn. Write your answer in simplest form 5n+2(3n1)n9+5n-5 n+2(-3 n-1) \geq n-9+5 n
Answer Attempt 1 out of 6 nn \square Submit Answer

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Problem 25807

Watch Video
Question Solve the following logarithm problem for the positive solution for xx. log64x=43\log _{64} x=-\frac{4}{3}
Answer Attempt 1 out of 2

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Problem 25808

10. Create 3 expressions that are equivalent to: a5a43\frac{\sqrt{a^{5}}}{\sqrt[3]{a^{4}}}

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Problem 25809

1) LAlBr3++KKBr++AlL_{-} \mathrm{AlBr}_{3}+{ }_{+} \mathrm{K} \rightarrow{ }_{-} \mathrm{KBr}+{ }_{+} \mathrm{Al} 3) P4+Br2PBr3{ }_{\square} \mathrm{P}_{4}+\ldots \mathrm{Br}_{2} \rightarrow \mathrm{PBr}_{3} 4) LiCl+Br2LiBr++Cl2\quad \mathrm{LiCl}+\ldots \mathrm{Br}_{2} \rightarrow \mathrm{LiBr}_{+}+\mathrm{Cl}_{2} 5) _PbBr2+HClHBr+PbCl2\_\mathrm{PbBr}_{2}+\ldots \mathrm{HCl} \rightarrow \mathrm{HBr}_{+} \ldots \mathrm{PbCl}_{2} 6) CoBr3+CaSO4CaBr2+Co2(SO4)3\ldots \mathrm{CoBr}_{3}+\ldots \mathrm{CaSO}_{4} \rightarrow \ldots \mathrm{CaBr}_{2}+\ldots \mathrm{Co}_{2}\left(\mathrm{SO}_{4}\right)_{3} 7) Na3P+CaF2+NaF+Cas2\mathrm{Na}_{3} \mathrm{P}+\ldots \mathrm{CaF}_{2} \rightarrow+\mathrm{NaF}+\ldots \mathrm{Cas}_{2} 8) Mn++HIH2+Mnl3-\mathrm{Mn}++{ }_{-} \mathrm{HI} \rightarrow{ }_{-} \mathrm{H}_{2}+{ }_{-} \mathrm{Mnl}_{3} 9) Li3PO4+NaBrNa3PO4+ZiBr-\mathrm{Li}_{3} \mathrm{PO}_{4}+\mathrm{NaBr}_{-} \mathrm{Na}_{3} \mathrm{PO}_{4}+\ldots \mathrm{ZiBr} 10) =CaF2+Li2SO4CaSO4+LiF=\mathrm{CaF}_{2}+\ldots \mathrm{Li}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{CaSO}_{4}+\ldots \mathrm{LiF} 11) HBr+Mg(OH)2MgBr2+H2O\mathrm{HBr}+\underset{\sim}{ } \mathrm{Mg}(\mathrm{OH})_{2} \rightarrow \mathrm{MgBr}_{2}+\ldots \mathrm{H}_{2} \mathrm{O} 12) [LiNO3+CaBr2Ca(NO3)2+LiBr\left[\mathrm{LiNO}_{3}+\ldots \mathrm{CaBr}_{2} \rightarrow \quad \mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}+\ldots \mathrm{LiBr}\right. 13) AgNO3+LiLNO3+Ag\quad \mathrm{AgNO}_{3}+\ldots \mathrm{Li} \rightarrow \quad \mathrm{LNO}_{3}+\ldots \quad \mathrm{Ag} 14) [Si(OH)4+NaBr+SiBr4+NaOH+\left[\mathrm{Si}(\mathrm{OH})_{4}+\mathrm{NaBr}_{+} \quad \mathrm{SiBr}_{4}+\mathrm{NaOH}_{+}\right. 15) _NaCN+CuCO3_Na2CO3+Cu(CN)2\_\mathrm{NaCN}+\ldots \mathrm{CuCO}_{3} \rightarrow \_\mathrm{Na}_{2} \mathrm{CO}_{3}+\ldots \mathrm{Cu}(\mathrm{CN})_{2} 16) NH3+H2SO4(NH4)2SO4\mathrm{NH}_{3}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \quad\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4}

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Problem 25810

4) L1{1s1+1s+1}=L^{-1}\left\{\frac{1}{s-1}+\frac{1}{s+1}\right\}= a) 2sin(t)2 \sin (t) b) 2cos(t)2 \cos (t) c) 2sinh(t)2 \sinh (t) d) 2cosh(t)2 \cosh (t)

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Problem 25811

Solve for bb. 3(b5)=rb=\begin{array}{l} 3(b-5)=r \\ b=\square \end{array}

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Problem 25812

par: f(x)=xx+21f(x)=\frac{x}{\sqrt{x+2}-1} et CfC_{f} sa courbe dans un plan muni d'un repère orthonormé (O,ı,ȷ)(O, \vec{\imath}, \vec{\jmath}) 1- déterminer DD domaine de définition de ff 2-calculer: limx+f(x);limx(1)+f(x);limx(1)f(x)\lim _{x \rightarrow+\infty} f(x) ; \lim _{x \rightarrow(-1)^{+}} f(x) ; \lim _{x \rightarrow(-1)^{-}} f(x) 3-calculer limxf(x)x\lim _{x \rightarrow-\infty} \frac{f(x)}{x} et interpréter le résultat géométriquement. 4- a -étudier la dérivabilité de ff en -2 à droite. b-montrer que (xD)(\forall x \in D) : f(x)=(x+21)2+12x+2(x+21)2f^{\prime}(x)=\frac{(\sqrt{x+2}-1)^{2}+1}{2 \sqrt{x+2}(\sqrt{x+2}-1)^{2}}

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Problem 25813

3. s+14=1212s+\frac{1}{4}=12 \frac{1}{2}

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Problem 25814

Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) cot(θ5)dθ\int \cot \left(\frac{\theta}{5}\right) d \theta

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Problem 25815

Question 7 (1 point) Write the following expression in radical form: 160.2516^{0.25} 1622\sqrt[2]{16^{2}} 4\sqrt{4} 16\sqrt{16} 164\sqrt[4]{16}

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Problem 25816

3. Determine the equation of the following circles: a. Centre (0,0)(0,0) and radius 4 b. Centre (0,0)(0,0) and through (3,4)(3,4)

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Problem 25817

4. Submit answer Practice simmar f(x)=x3+4.5x212x+2f(x)=x^{3}+4.5 x^{2}-12 x+2 a) Determine the intervals on which ff is concave up and concave down. ff is concave up on: (1.5,inf)(-1.5, \mathrm{inf}) ff is concave down on: ( inf,1.5)-\mathrm{inf},-1.5) b) Based on your answer to part (a), determine the inflection points of ff. Each point should be entered as an ordered pair (that is, in the form (x,y)(x, y) ). (1.5,26.75)(-1.5,26.75) (Separate multiple answers by commas.) c) Find the critical numbers of ff and use the Second Derivative Test, when possible, to determine the relative extrema. List only the xx-coordinates. Relative maxima at: -4 (Separate multiple answers by commas.) Relative minima at: \square (Separate multiple answers by commas.) d) Find the xx-value(s) where f(x)f^{\prime}(x) has a relative maximum or minimum. ff^{\prime} has relative maxima at: \square (Separate multiple answers by commas.) ff^{\prime} has relative minima at: \square (Separate multiple answers by commas.) Submit answer

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Problem 25818

PRACTISING
4. Determine the point(s) of intersection of each pair of functions. Ka) f(x)=2x25x+20,g(x)=6x1\mathbf{K}_{\text {a) }} f(x)=-2 x^{2}-5 x+20, g(x)=6 x-1 b) f(x)=3x22,g(x)=x+7f(x)=3 x^{2}-2, g(x)=x+7 c) f(x)=5x2+x2,g(x)=3x6f(x)=5 x^{2}+x-2, g(x)=-3 x-6 d) f(x)=4x22x+3,g(x)=5x+4f(x)=-4 x^{2}-2 x+3, g(x)=5 x+4

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Problem 25819

9) (4k2+7k+8)(5k2+4k+7)\left(-4 k^{2}+7 k+8\right)\left(5 k^{2}+4 k+7\right)

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Problem 25820

Find the sum: 78+0.375=\frac{7}{8} + 0.375 =

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Problem 25821

Solve for xx in the equation 4=23(9x6)4=\frac{2}{3}(9 x-6).

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Problem 25822

Solve for aa: 3a+2>3a633a + 2 > \frac{3a - 6}{3}, a>2a > -2, a<0a < 0, a>0a > 0, a<2a < -2.

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Problem 25823

Simplify the expression: a29a(a+8)(a9)\frac{a^{2}-9 a}{(a+8)(a-9)} to its lowest terms.

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Problem 25824

Find the LCM of 6x2yz46 x^{2} y z^{4} and 15xy3z215 x y^{3} z^{2}.

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Problem 25825

Bestimmen Sie die Nullstellen von f(x)=2x2+4x16f(x)=2 x^{2}+4 x-16.

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Problem 25826

Multiply and simplify: k2+7k+12k2+13k+36k2+9kk2+8k+15\frac{k^{2}+7k+12}{k^{2}+13k+36} \cdot \frac{k^{2}+9k}{k^{2}+8k+15}.

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Problem 25827

Calculate the sum: 425+715=4 \frac{2}{5}+\frac{7}{15}=

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Problem 25828

Find the xx-coordinates where the slope of the tangent to f(x)=13x35x2+1f(x)=\frac{1}{3} x^{3}-5 x^{2}+1 is m=16m=-16.

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Problem 25829

Find the value of q(r(4))q(r(4)) where q(x)=2x1q(x)=-2x-1 and r(x)=2x2+1r(x)=2x^{2}+1.

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Problem 25830

Simplify the expression: z2+11z+30z2+13z+42÷z2+5zz2+14z+49\frac{z^{2}+11 z+30}{z^{2}+13 z+42} \div \frac{z^{2}+5 z}{z^{2}+14 z+49}.

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Problem 25831

Calculate the product of 724 and 82: 72482724 \cdot 82.

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Problem 25832

Convert the mixed number 3 7/27 to an improper fraction. What is it?

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Problem 25833

Find the value of bb in the equation: b57+42=60b - 57 + 42 = 60.

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Problem 25834

Solve for xx in the equation x1=5x+3x8x - 1 = 5x + 3x - 8.

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Problem 25835

Simplify 18\sqrt{18}.

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Problem 25836

Simplify the expression: 5a+3b25a3b2\frac{5 a+3 b}{2}-\frac{5 a-3 b}{2} and find the answer in lowest terms.

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Problem 25837

Solve these linear equations and identify if they are inconsistent or identities. Reduce non-integer answers to simplest fractions. (a) 7x+5=2x357 x+5=2 x-35 (b) x37=5\frac{x}{3}-7=-5 (c) 4x+5=4x14 x+5=4 x-1

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Problem 25838

Subtract the expressions: (6f29f+10)(2f2f+3)(6 f^{2}-9 f+10) - (-2 f^{2}-f+3). What is the result?

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Problem 25839

Solve for aa: 3a+2>3a633a + 2 > \frac{3a - 6}{3}, a>2a > -2, a<0a < 0, a>0a > 0, a<2a < -2.

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Problem 25840

Simplify the expression: 23x665x+5+12x+4\frac{2}{3 x-6}-\frac{6}{5 x+5}+\frac{1}{2 x+4} in lowest terms.

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Problem 25841

Write an algebraic expression for a number divided by 8.

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Problem 25842

Find the product of (2x+3)2(2x + 3)^2 and 4x+64x + 6. What is the result?

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Problem 25843

Find the sum of 5 \frac{1}{5} + \frac{1}{15} =

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Problem 25844

The digit 4 in 14,863 is in the thousands place, the same as in 11,472.

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Problem 25845

Simplify the expression: 23x665x+5+12x+4\frac{2}{3 x-6}-\frac{6}{5 x+5}+\frac{1}{2 x+4} and find the answer in lowest terms.

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Problem 25846

Simplify (2g1)(3g22g+4)(2g-1)(3g^2-2g+4) and find the resulting polynomial.

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Problem 25847

Calculate the product of 5.6 and 0.7: 5.6×0.75.6 \times 0.7

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Problem 25848

Subtract the fractions: 5614=\frac{5}{6}-\frac{1}{4}= (Enter a whole number or simplified fraction.)

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Problem 25849

Solve the equation K(w)=55.50+1.2wK(w)=55.50+1.2w for K(w)=200K(w)=200 algebraically.

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Problem 25850

Find the intersection point of the lines y=5x+1y=5x+1 and y=2x11y=2x-11. Determine both xx and yy coordinates.

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Problem 25851

Simplify the fraction 3946\frac{39}{46} or state if it is already simplified.

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Problem 25852

Find the product of (3d+4)(3d4)(3d + 4)(3d - 4). Choose from: 6d2166d^2 - 16, 9d2169d^2 - 16, 6d86d - 8, 9d224d169d^2 - 24d - 16.

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Problem 25853

Find K(30)K(30) for the expression K(w)=55.50+1.2wK(w)=55.50+1.2 w and explain its meaning.

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Problem 25854

Subtract the fractions: 7818= \frac{7}{8} - \frac{1}{8} = (Enter a whole number or simplified fraction.)

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Problem 25855

Simplify: 10m3n415mn5mn\frac{10 m^{3} n^{4}-15 m n}{5 m n} and identify the results of each expression.

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Problem 25856

Simplify the fraction 4468\frac{44}{68}. Is it already simplified? A. 4468=\frac{44}{68}=\square B. Cannot be simplified.

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Problem 25857

Solve for zz in the equation W=X+XyzW = X + Xyz.

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Problem 25858

Divide the fractions: 19÷13\frac{1}{9} \div \frac{1}{3}. Is it a number or undefined? A. \square B. undefined.

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Problem 25859

Solve for xx in the equation: 2x19=4x+12 x - 19 = 4 x + 1.

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Problem 25860

Find the average cost per unit for C=5.4x2+4900x+190,000C=-5.4 x^{2}+4900 x+190,000 when x=30x=30. Round to the nearest cent.

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Problem 25861

Find the quotient of 927 divided by 3.

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Problem 25862

Solve for zz in the expression W=X+XyzW=X+X y z.

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Problem 25863

Is 9-\sqrt{9} an irrational number? True or False?

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Problem 25864

What do the polynomials 25x2+40x+1625 x^{2}+40 x+16 and 25x21625 x^{2}-16 share as a common factor? Options: 5x45 x-4, 25x225 x^{2}, 5x+165 x+16, 5x+45 x+4.

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Problem 25865

Find the number of parts, nn, produced when the cost, CC, is \4,200intheequation4,200 in the equation C=200 \sqrt[3]{n}+200$.

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Problem 25866

Solve the equation: b169=4\frac{b}{16}-9=-4

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Problem 25867

Is 7\sqrt{7} an irrational number? Choose true or false: A. False, it's an integer. B. False, it repeats. C. True, it never ends/repeats. D. False, it's terminating.

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Problem 25868

Identify which values satisfy the inequality 8>9+b-8 > -9 + b: b=3b = 3, b=11b = -11, b=8b = 8, b=5b = 5.

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Problem 25869

Is -5 a rational number? Choose True or False.

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Problem 25870

Solve for b1b_{1} in the formula A=12h(b1+b2)A=\frac{1}{2} h(b_{1}+b_{2}).

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Problem 25871

Identify a function f(x)f(x) that passes through the points (0,0), (1,-2), and (2,0) from the options given.

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Problem 25872

Solve for b1b_{1} in the equation A=12h(b1+b2)A=\frac{1}{2} h(b_{1}+b_{2}). Options: A, B, C, D.

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Problem 25873

Is the statement "7 is an integer" true or false? Choose True or False.

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Problem 25874

Is the statement true or false? Justify: Does the augmented matrix [a1a2a3b]\left[\begin{array}{llll}a_{1} & a_{2} & a_{3} & b\end{array}\right] imply bb is in Span {a1,a2,a3}\{a_{1}, a_{2}, a_{3}\}?

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Problem 25875

Solve the equation |(4x+1)/(x-1)| = 6. Choose the correct solutions: A. 7/2, 1/2 B. 7,5 C. -2,-10 D. 7/10, 5/2

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Problem 25876

Is the statement true or false? 3353 \frac{3}{5} is an irrational number. Choose: True or False.

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Problem 25877

Calculate the sum of 3-3 and 8-8.

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Problem 25878

Identify the set of whole numbers from the options: {0,1,2,3,}\{0,1,2,3, \ldots\}, {1,2,3,4,}\{1,2,3,4, \ldots\}, {,3,2,1}\{\ldots,-3,-2,-1\}, {,3,2,1,0,1,2,3,}\{\ldots,-3,-2,-1,0,1,2,3, \ldots\}.

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Problem 25879

Solve the equation using the quadratic formula: 4n2=12n74 n^{2} = -12 n - 7. Provide exact and approximate solutions.

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Problem 25880

Evaluate 2x2+2x162 x^{2}+2 x-16 for x=3x=3.

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Problem 25881

Find the slope and yy-intercept of the cost function C(x)=41+1.95xC(x) = 41 + 1.95x. What are their units?

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Problem 25882

Find the domain of the expression x53x6\frac{x-5}{3 x-6}. Options: all reals except 2, 0, 6, or 5.

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Problem 25883

Solve for xx in the equation kx+3x=4k x + 3 x = 4.

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Problem 25884

Solve the equation 4n2=12n74n^{2} = -12n - 7 using the quadratic formula. Provide exact and approximate solutions.

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Problem 25885

Simplify the expression: x2x6x3\frac{x^{2}-x-6}{x-3}. What is the result?

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Problem 25886

Find the year when health care expenditures E=0.102x+1.516E=0.102x+1.516 reach \2.128trillion,with2.128 trillion, with x$ as years after 2000.

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Problem 25887

Divide and simplify the expression: 5yy2+4y+4÷20y2y24\frac{5 y}{y^{2}+4 y+4} \div \frac{20 y^{2}}{y^{2}-4}.

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Problem 25888

Find the max or min of the function: g(x)=2x(x4)7g(x)=2x(x-4)-7.

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Problem 25889

Calculate the sum: 11+(13)-11 + (-13).

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Problem 25890

Is v=10v=-10 a solution to the inequality 5v<11-5-v<-11? Answer yes or no.

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Problem 25891

Find the first full year after 2000 when truckers' pay PP exceeds \41,given41, given P=0.393 x^{2}-7.82 x+76.4for for 7 \leq x \leq 14$.

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Problem 25892

What is the new equation of the graph y=f(x)y=f(x) after translating it left 7 units and up 3 units?

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Problem 25893

Add the fractions and simplify: 67x+32y\frac{6}{7 x}+\frac{3}{2 y}.

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Problem 25894

Find the equation of the graph after translating y=f(x)y=f(x) left 8 units and reflecting it across the xx-axis: y=y=.

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Problem 25895

Find the solution to the inequality 2>8x2>\frac{8}{x}. Choose from x=2x=2 or x=1x=1.

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Problem 25896

Calculate 9+(35)9 + (-35).

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Problem 25897

Graph the equation: 4y=2x144y = 2x - 14.

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Problem 25898

Find the end behavior of the polynomial P(x)=3x3x2+5x+1P(x)=3 x^{3}-x^{2}+5 x+1.

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Problem 25899

Simplify: 2xy2+3x2y4x5\frac{2 x}{y^{2}}+\frac{3 x}{2 y}-\frac{4 x}{5}. What is the simplest form?

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Problem 25900

Solve the equation (x+4)24=36(x+4)^{2}-4=36. Find all possible values for xx.

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