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3 years ago

Find the sum. (3/8x-8)+(3/8x-3) Step by step explain please!

Mathematics

2 answers:

Roman55 [17]3 years ago

8 0

Answer: 3/4x + -11

Step-by-step explanation:

3/8x -8 + 3/8x - 3

= 3/8x + - 8 + 3/8x + -3

Combine like terms

3/8x + -8 + 3/8x + -3

=(3/8x + 3/8x) + ( -8 + -3)

Answer: 3/4x + -11

My name is Ann [436]3 years ago

7 0

3/4x - 11
first calculate the sum
3/4x - 8 - 3
then calculate the difference
3/4x - 11

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Write an equation for the line that has a slope -8/9 and goes through the point (-7, 7)

Jobisdone [24]

Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can plug in the slope and point to the slope-intercept form equation (y = mx+b, where m=slope and b=y-int.)

y = m * x + b

(7) = (-8/9)*(-7) + b

Now, just solve for b!

(7) = (-8/9)*(-7) + b

7 = 56/9 + b

7 - (56/9) = b

b = 0.777777 (repeating decimal, usually signified by a little line above the 7)

so now we just plug in the slope and y-intercept we found into y = mx + b.

y = mx + b

y = (-8/9)x + 0.77777

5 0

3 years ago

Read 2 more answers

Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

4 years ago

Read 2 more answers

Rename 1/2 and 1/5 using the least common denominator.

gladu [14]

C multiply 1/2 by 10 and 1/5 by 2

3 0

4 years ago

A polynomial p has zeros when I = 0.2 = -

Rainbow [258]

Answer:

p(x) = (5x - 1) (x + 3)

Step-by-step explanation:

I apologize if I couldn't answer correctly, the question was a bit hard to understand because of the formatting.

Also I didn't see my answer in the list of answer choices but here it is:

if the polynomial has zeros at 0.2 and -3 the equation would have to be:

p(x)=(x-0.2)(x+3)

This is because plugging either of those numbers into the polynomial would cause it to equal 0.

(x-0.2) can be simplified by multiplying everything in the parenthesis by 5, getting rid of all of the decimals, making the final answer:

p(x) = (5x - 1) (x + 3)

5 0

3 years ago

Help! Jeez these are hard.

Irina18 [472]

Answer:

option 2

Step-by-step explanation:

a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right

3 0

3 years ago