I need help with my math

Mathematics

1 answer:

goldfiish [28.3K]1 year ago

4 0

From the number lines, we notice that 10560 feet are equivalent to 2 miles. Therefore, the ratio is:

$\frac{10560\text{ fe}et}{2\text{ miles}}=5280\frac{feet}{mile}$

Multiplying y 3 miles:

$5280\frac{feet}{mile}\times3\text{ miles=}15840\text{ f}eet$

Therefore, 3 feet is 15840 miles

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penny owes her uncle a dollar. She then borrows 4 more dollars from her uncle, but eventually pays him back 3 dollars. How much

alisha [4.7K]

So she starts out with -1 dollars. Then she borrows 4 more and gets to -5 dollars. If she pays him back 3 dollars, she is left still owing him 2 dollars as her balance is at -2 dollars.

-1 - 4 + 3 = x

X = -2

4 0

3 years ago

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Which polynomial is a product of (3x+2) and (x-7)

pogonyaev

(3x+2) (x-7)

FOIL

first 3x*x = 3x^2

outer 3x*-7 = -21x

inner = 2*x = 2x

last 2*-7 = -14

add them together = 3x^2 -21x+2x -14

combine like terms 3x^2 -19x -14

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3 years ago

Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

<u>ANSWER: </u>

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

<u>SOLUTION:</u>

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$