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3 years ago

Cost per year Graduation Rate Loan Default

Mathematics

1 answer:

zmey [24]3 years ago

4 0

Answer:

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Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the sam

devlian [24]

Answer:

25.7minutes

Step-by-step explanation:

D =r×t=2×1.5=3miles

A D=7÷2=3.5

7=1h. 3.5=30minutes.

3.5=30

0.5=x

3.5x÷3.5=15÷3.5

X=4.3

(3.5-0.5)=(30-4.3)

Hence it takes Amanda 25.7minutes to catch up with Ben.

5 0

3 years ago

Solve for x in the equation x^2 + 2x+ 1 = 17.

muminat

Answer:

first, subtract 17 on both sides: x²+2x-16=0

this cannot be factored, so use the quadratic formula to solve for x:

b²-4ac=2²-4(10(-16)=4+64=68

√68=2√17

so x=(-2+2√17)/2 or x=(-2-2√17)/2

x=-1+√17 or x=-1-√17

Step-by-step explanation:

7 0

4 years ago

Simplify the expression in exponential notation.<br><br> a • a • a

vladimir2022 [97]

the answer would be a³

8 0

3 years ago

Read 2 more answers

Place the indicated product in the proper location on the grid. (4x^3+7y^3 z^ 4) ^2

ella [17]

Answer:

$16x^{6} +56x^{3}y^{3} z^{4} +49y^{6} z^{8} \\$

Step-by-step explanation:

To solve this type of problems first need to review some laws of exponents:

When you are multiplying the same base, you need to add the exponents.

$x^{2} +x^{8} = x^{2+8} = x^{10}$

When you are raising a base with power to another power, you should keep the base and multiply the exponents:

$(x^{2} y^{5})^3 = x^{2*3} y^{5*3} = x^{6} y^{15}$

Now for the expression $(4x^{3} + 7y^{3} z^{4} )^2$

Write the multiplying factors:

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} )$

Multiply the term $4x^{3}$

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} ) = 16x^{3+3} + 28x^3y^{3} z^{4}$

Then multiply the term $7y^{3}z^{4}$

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} ) = 16x^{3+3} + 28x^3y^{3} z^{4}\\\\+ 28x^3y^{3} z^{4} + 49y^{3+3} z^{4+4}$

Simplify the exponents:

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} ) = 16x^{6} + 28x^3y^{3} z^{4}\\\\+ 28x^3y^{3} z^{4} + 49y^{6} z^{8}$

Add like terms:

$= 16x^{6} + 56x^3y^{3} z^{4} + 49y^{6} z^{8}$

5 0

3 years ago

What is the equation of the line that passes through the point (-7-1) and has slope of 1

Luda [366]

Answer: y=-x+-8

Step-by-step explanation:

Proof is in the screenshot below

3 0

3 years ago

Read 2 more answers