1.1 Homework | Mathematics

Q.

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. Select all that apply. $6x-9=4x+13$

answer choices

Conditional

Contradiction

Identity

{11}

{all real numbers}

Q.

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Select all that apply.

$10+14x=7\left(2x-5\right)$

answer choices

Conditional

Contradiction

Identity

$\left\{\frac{25}{28}\right\}$

{empty set}

Q.

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Select all that apply.

$-3\left(2x-1\right)+5x=3-x$

answer choices

Conditional

Contradiction

Identity

{all real numbers}

{null set}

Q.

answer choices

$y=x^2$

$y=\log_bx,\ b>1$

$y=\frac{1}{x}$

$y=\sqrt{x}$

<math><semantics><mrow><mi>y</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">y=x^2</annotation></semantics></math>y=x2

alternatives

<math><semantics><mrow><mi>y</mi><mo>=</mo><msub><mo><mi>log</mi><mo>⁡</mo></mo><mi>b</mi></msub><mi>x</mi><mo separator="true">,</mo><mtext> </mtext><mi>b</mi><mo>></mo><mn>1</mn></mrow><annotation encoding="application/x-tex">y=\log_bx,\ b>1</annotation></semantics></math>y=logbx, b>1

<math><semantics><mrow><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mi>x</mi></mfrac></mrow><annotation encoding="application/x-tex">y=\frac{1}{x}</annotation></semantics></math>y=x1

Q.

answer choices

$y=\frac{1}{x^2}$

$y=\frac{1}{x}$

$y=\log_bx,\ b>1$

$y=\sqrt{x}$

<math><semantics><mrow><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>2</mn></msup></mfrac></mrow><annotation encoding="application/x-tex">y=\frac{1}{x^2}</annotation></semantics></math>y=x21

alternatives

<math><semantics><mrow><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mi>x</mi></mfrac></mrow><annotation encoding="application/x-tex">y=\frac{1}{x}</annotation></semantics></math>y=x1

<math><semantics><mrow><mi>y</mi><mo>=</mo><msub><mo><mi>log</mi><mo>⁡</mo></mo><mi>b</mi></msub><mi>x</mi><mo separator="true">,</mo><mtext> </mtext><mi>b</mi><mo>></mo><mn>1</mn></mrow><annotation encoding="application/x-tex">y=\log_bx,\ b>1</annotation></semantics></math>y=logbx, b>1

Q.

answer choices

inverse squared

reciprocal

greatest integer

exponential

Q. Which parent function matches the graph?

answer choices

f(x) = x

f(x) = x²

f(x) =√(x)

f(x) =∛(x)

Q.

What type of function is shown?

answer choices

linear

quadratic

square root

absolute value

Q. What type of function is shown?

answer choices

absolute value

quadratic

linear

exponential

Q. Which parent function matches the graph?

answer choices

y = |x|

y = ∛(x)

y = x²

y = a⋅b^x

Q.

Solve each formula or equation for the specified variable. $d=rt\$

Solve for t.

answer choices

$t=dr$

$t=\frac{d}{r}$

$t=\frac{r}{d}$

$t=d-r$

<math><semantics><mrow><mi>t</mi><mo>=</mo><mi>d</mi><mi>r</mi></mrow><annotation encoding="application/x-tex">t=dr</annotation></semantics></math>t=dr

alternatives

<math><semantics><mrow><mi>t</mi><mo>=</mo><mfrac><mi>d</mi><mi>r</mi></mfrac></mrow><annotation encoding="application/x-tex">t=\frac{d}{r}</annotation></semantics></math>t=rd

<math><semantics><mrow><mi>t</mi><mo>=</mo><mfrac><mi>r</mi><mi>d</mi></mfrac></mrow><annotation encoding="application/x-tex">t=\frac{r}{d}</annotation></semantics></math>t=dr

<math><semantics><mrow><mi>t</mi><mo>=</mo><mi>d</mi><mo>−</mo><mi>r</mi></mrow><annotation encoding="application/x-tex">t=d-r</annotation></semantics></math>t=d−r

Q.

Solve each formula or equation for the specified variable. $S=kr^2+krl\ \ \ \ \$

solve for k.

answer choices

$k=S-r^3l$

$k=\frac{S}{r^3l}$

$k=\frac{S}{r^2+rl}$

$k=\frac{S-r^2}{rl}$

<math><semantics><mrow><mi>k</mi><mo>=</mo><mi>S</mi><mo>−</mo><msup><mi>r</mi><mn>3</mn></msup><mi>l</mi></mrow><annotation encoding="application/x-tex">k=S-r^3l</annotation></semantics></math>k=S−r3l

alternatives

<math><semantics><mrow><mi>k</mi><mo>=</mo><mfrac><mi>S</mi><mrow><msup><mi>r</mi><mn>3</mn></msup><mi>l</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">k=\frac{S}{r^3l}</annotation></semantics></math>k=r3lS

<math><semantics><mrow><mi>k</mi><mo>=</mo><mfrac><mi>S</mi><mrow><msup><mi>r</mi><mn>2</mn></msup><mo>+</mo><mi>r</mi><mi>l</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">k=\frac{S}{r^2+rl}</annotation></semantics></math>k=r2+rlS

<math><semantics><mrow><mi>k</mi><mo>=</mo><mfrac><mrow><mi>S</mi><mo>−</mo><msup><mi>r</mi><mn>2</mn></msup></mrow><mrow><mi>r</mi><mi>l</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">k=\frac{S-r^2}{rl}</annotation></semantics></math>k=rlS−r2

Q.

Solve each formula or equation for the specified variable. $11y+8=2\left(4y+5w\right)-6z\ \ \ \ \ \ solve\ for\ y.$

answer choices

$y=\frac{10w-6z-8}{3}$

$y=10w-2z-8$

$y=\frac{5w-3z-8}{8}$

$y=5w-3z-1$

<math><semantics><mrow><mi>y</mi><mo>=</mo><mfrac><mrow><mn>10</mn><mi>w</mi><mo>−</mo><mn>6</mn><mi>z</mi><mo>−</mo><mn>8</mn></mrow><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">y=\frac{10w-6z-8}{3}</annotation></semantics></math>y=310w−6z−8

alternatives

<math><semantics><mrow><mi>y</mi><mo>=</mo><mn>10</mn><mi>w</mi><mo>−</mo><mn>2</mn><mi>z</mi><mo>−</mo><mn>8</mn></mrow><annotation encoding="application/x-tex">y=10w-2z-8</annotation></semantics></math>y=10w−2z−8

<math><semantics><mrow><mi>y</mi><mo>=</mo><mfrac><mrow><mn>5</mn><mi>w</mi><mo>−</mo><mn>3</mn><mi>z</mi><mo>−</mo><mn>8</mn></mrow><mn>8</mn></mfrac></mrow><annotation encoding="application/x-tex">y=\frac{5w-3z-8}{8}</annotation></semantics></math>y=85w−3z−8

<math><semantics><mrow><mi>y</mi><mo>=</mo><mn>5</mn><mi>w</mi><mo>−</mo><mn>3</mn><mi>z</mi><mo>−</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">y=5w-3z-1</annotation></semantics></math>y=5w−3z−1

Q.

A man borrowed $2580 to buy new kitchen appliances for his home. He will pay off the loan in 9 months at an annual simple interest rate of 6%. How much interest will he pay? Make sure to round your answer to the nearest cent.

answer

$116.10

alternatives

116.10