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2 years ago

You drive 15 miles in one fourth of an hour. What is your average speed?

1 answer:

6 0

Hello ! I'm happy to help
the answer all revolves around this simple formula:
speed= distance/time
since you were driving for 1/4 of an hour that's 15 minutes
and we already know that you traveled 15 miles
so the speed would equal 15 miles every 15 minutes
if you want to find the total distance travelled is 15x15 =225

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Let f(x)=x^2+6x−16. Enter the x-intercepts of the quadratic function in the boxes.

Sauron [17]

$\underline{\underline{\large\bf{Given:-}}}$

$\red{\leadsto}\:$ $\textsf{}$ $\sf f(x)= x^2+6x−16$

$\underline{\underline{\large\bf{To Find:-}}}$

$\orange{\leadsto}\:$ $\textsf{ x-intercepts of the quadratic function }$ $\sf$

$\\$

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.

$\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x=2\quad or \quad x=-8 \\\end{gathered}$

$\leadsto$ x-intercepts of the given quadratic function are 2 and -8 .

7 0

2 years ago

Use the following diagram to answer question 4 and 5

baherus [9]

Answer:

3x-13+2x+4=116( the sum of two interior angle is epual to the sum of exterior angle )

5x =116-9

5x=107

x=21.4 degree

then

angle a= 3*21.4-13

a=51.2degree

angle b=2*21.4+2

b =44.8degree

Step-by-step explanation:

plz make me brainliest

3 0

2 years ago

Can someone help with trig identities? (calculators are allowed)

Oksana_A [137]

Answer:

Step-by-step explanation:

cosA^2 = 1 - sinA^2

subtitute 1/4 below

= 1 - (1/4)^2

= 1 - 1/16

after calculation

= - 0.9682

8 0

2 years ago

Write an expression to represent: Eight more than the product of two and a number x xx.

gizmo_the_mogwai [7]

Answer:

2x+8

Step-by-step explanation:

7 0

2 years ago

1. The current ratio (assets/liabilities) of company X is 3.1. Given that the current assets are $186000, find the current liabi

katrin [286]

1. The current ratio (assets/liabilities) of company X is 3.1. Given that the current assets are $186000, find the current liabilities:

Assets = A
Liabilities = L

A / L = 3.1 => L = A / 3.1

A = 186000 => L = 18600 / 3.1 = 6000

Answer: $ 6000

2. The board of directors determines that the current ratio must never be below 2.6. What is the maximum amount that the company can borrow?

A/L ≥ 2.6

=> L ≤ A / 2.6

=> L ≤ 186000 / 2.6

L ≤ 71538.46

Answer: $71538.46

6 0

2 years ago