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3 years ago

Which expression is equivalent to the following: 5(6f + 5)

Mathematics

1 answer:

fiasKO [112]3 years ago

3 0

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you

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Which are the x-intercept and y-intercept of the line drawn through the points A and B?

ladessa [460]

First you have to figure out what the equation of the line is. Let's use the slope formula to find the slope, and then one of the points to find the y-intercept. We'll put the line's equation in y=mx+b form.

$slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } \\ slope = m \\ m = \frac{5 - 1}{-7 - 1} \\ m = \frac{4}{-8} \\ m = - \frac{1}{2}$

Now, we'll use that slope in y=mx+b form with one of the coordinates in order to find what b (which is also the y-intercept) equals
$y = - \frac{1}{2}x + b \\ 1 = 1(- \frac{1}{2}) + b \\ 1 = - \frac{1}{2} + b \\ 1 \frac{1}{2} = b$

therefore your y-intercept is equal to 1.5. In order to find the x-intercept we'll take our new equation $y = - \frac{1}{2} + 1 \frac{1}{2}$ and make y = 0, because the line intersects with the x-axis when y is equal to zero.

$y = - \frac{1}{2}x + 1 \frac{1}{2} \\ 0 = - \frac{1}{2}x + 1 \frac{1}{2} \\ -1 \frac{1}{2} = - \frac{1}{2}x \\ x = 3$

therefore, your x-intercept is 3 and your y-intercept is 1.5

6 0

3 years ago

Estimate the surface area of a cube with side length 9.9 in.

vlada-n [284]

Answer:

Estimate the surface area of a cube with side length 9.9 in.

A) 100 in²

B) 400 in²

C) 600 in²

D) 1000 in²

Step-by-step explanation:

9.9 to the nearest whole number is 10

We know the side length of the cube is 10

We work out the area of face and multiply by 6.

10 x 10 = 100

100 x 6 = 600 in²

3 0

3 years ago

Read 2 more answers

What are the roots of 3x2 + 10 = 4x?

sveticcg [70]

Answer:

Option C is correct.

roots of the given equation , $x =\frac{2\pm i\sqrt{26}}{3}$

Step-by-step explanation:

Given the equation: $3x^2+10 = 4x$

We can write this equation as:

$3x^2-4x + 10 =0$

A quadratic equation is in the form of $ax^2+bx+c =0$ ......[1] where a,b ,c are the coefficient and x is the variable,

the solution of the equation is given by;

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

On comparing given equation with equation [1] we get;

a = 3 , b = -4 and c =10

So, the solution of the given equation is given by;

$x = \frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}$

$x = \frac{4\pm\sqrt{(16-120}}{6} = \frac{4\pm\sqrt{(-104)}}{6} = \frac{4\pm\sqrt{(-4 \times 26)}}{6}$

$x =\frac{4\pm2 \sqrt{(-26)}}{6} = \frac{4\pm2 i\sqrt{26}}{6}$ [∴ $\sqrt{-1} = i$

Simplify:

$x =\frac{2\pm i\sqrt{26}}{3}$

therefore, the roots of the given equation are; $x =\frac{2\pm i\sqrt{26}}{3}$

5 0

3 years ago

Read 2 more answers

Michelle and Michael collect baseball cards. Michael has 5 more cards then Michelle. Together they have 27 cards. How many cards

kap26 [50]

Michael is x. Michelle is y.
x+y=27
x-5=y

Substitute y
x+(x-5)= 27
2x-5=27
2x=32
x=16

Plug in x value
(16)+y=27
y=11

Final answer: Michael-16, Michelle-11

5 0

3 years ago

Read 2 more answers

Yolanda dug a hole in the ground that is deeper than -10 inches . She says the depth of the hole is greater than 10 inches. Is Y

denpristay [2]

No, she is not right

8 0

3 years ago