All categories

4 years ago

Use the Distributive Property to simplify the expression.

Mathematics

2 answers:

Marta_Voda [28]4 years ago

5 0

Answer:

=15x+3

Step-by-step explanation:

4+3(5x−1)+2

Distribute:

=4+(3)(5x)+(3)(−1)+2

=4+15x+−3+2

Combine Like Terms:

=4+15x+−3+2

=(15x)+(4+−3+2)

=15x+3

Bumek [7]4 years ago

3 0

$\text{Hello there!}\\\\\text{Use the distributive property to solve for the expression:}\\\\4+3(5x-1)+2\\\\\text{Distribute the 3 to the numbers inside the parenthesis}\\\\4+15x-3+2\\\\\text{Add the numbers with no variables}\\\\15x+3\\\\\boxed{\text{Answer: 15x+3}}$

You might be interested in

Question is in the picture

ale4655 [162]

Reflection over the y-axis, translation 2 units down

3 0

3 years ago

Read 2 more answers

◆ Quadratic Equations ◆<br>Please help !

Mila [183]

I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

$\sf ax^2+(1-a(b+c))x+abc-d)$

$\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))$

Simplify into standard form:

$\sf x^2+(1-1(5))x+6-4$

$\sf x^2+(1-5)x+2$

$\sf x^2-4x+2$

Use the quadratic formula to solve:

$\sf x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

For functions in the form of $\sf ax^2+bx+c$ . So in this case:

a = 1
b = -4
c = 2

Plug them in:

$\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}$

Solve for 'x':

$\sf x=\dfrac{4\pm\sqrt{16-8}}{2}$

$\sf x=\dfrac{4\pm\sqrt{8}}{2}$

$\sf x\approx\dfrac{4\pm 2.83}{2}$

$\sf x\approx 0.59,3.41$

So the answer would be A.

3 0

4 years ago

The area of the circle is 64pie cm. What is the radius in cm?

Vinil7 [7]

Answer: 8 centimeters

Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².

To solve for <em>r</em>, we first divide both sides of the equation by π.

On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².

So we have 64 = r².

Next, we take the square root of both sides to get 8 = r.

So the radius of our circle is 8 centimeters.

8 0

3 years ago

Read 2 more answers

jan, mya, and sara ran a total of 64 miles last week. jan and mya ran the same number of miles. sara ran 8 less miles than jan a

kherson [118]

$x-\ Jan's\ destination\\\\y-\ Mya's \ destination \\\\ z-\ Sara's\ destination\\\\\
x+y+z=64\\
x=y\\
z-8=2x\\\\
x+x+z=64\\
z=2x+8\\\\
2x+2x+8=64\\\\
4x+8=64\\\\
4x=64-8\\\\
4x=56\ \ |:4\\\\x=14\\\\z=2x+8=2*14+8=28+8=36\\\\ Sara\ ran\ 36\ miles.$

5 0

3 years ago

Solving for Y. Write the slope-intercept form of the equation of each line. Show work!

Alborosie

Answer:

y = x-4

Step-by-step explanation:

you can put it in a calculator to be sure

3 0

4 years ago