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3 years ago

-32x + 45 – 7 (2x – 9) = 101

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

5 0

Answer:

$x = \frac{7}{46}$

Step-by-step explanation:

-32x+45-7(2x-9)=101

parenthesis first

-32x+45-14x+63=101

just combine like terms

-46x+108=101

minus 108 both sides

-46x= -7

answer is x 7 over 46

pishuonlain [190]3 years ago

3 0

X would be 7/46
-32x+45-7(2x-9)=101
-32x+45+(-7)(2x)+(-7)(-9)=101
-32x+45+(-14x)+ 63=101
(-32x+ -14x)+(45+63)=101
-46+108=101
-46x=-7 divide both by -46
X is equal to 7/46

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Delicious77 [7]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Laura lives 15 miles east of Kevin’s place. Kevin lives 8 miles south of Michelle’s place. How far does Michelle live from Laura

My name is Ann [436]

Answer:

17 miles.

Step-by-step explanation:

Let's define:

North as the positive y-axis

East as the positive x-axis.

We know that Laura lives 15 miles east of Kevin's place.

Kevin lives 8 miles south of Michelle's place.

So, if we define the origin, (0, 0) as Laura's place.

From:

"that Laura lives 15 miles east of Kevin's place."

We have that the location of Kevin's house is 15 miles west from Laura's place, then Kevin's house is at:

(0, 0) + (-15mi, 0) = (-15mi, 0)

From Kevin lives 8 miles south of Michelle's place, we know that Michelle's live 8 miles north of Kevin's place.

Then the location of Michele's house is the location of Kevin's plus (0, 8mi).

Michelle's house is located at:

(-15mi, 0) + (0, 8mi) =(-15mi, 8mi)

Now we want to find the distance between Michelle's house and Laura's house.

Michelle's house is at (-15mi, 8mi)

Laura's house is at (0mi, 0mi)

Remember that the distance between two points (a, b) and (c, d) is given by:

$D = \sqrt{(a - c)^2 + (b - d)^2}$

Then the distance between (-15mi, 8mi) and (0mi, 0mi) is:

$D = \sqrt{(-15mi - 0mi)^2 + (8mi - 0mi)^2} = 17mi$

The correct option is the first one, 17 miles.

6 0

3 years ago

The ice cream shop has 80 different possible sundaes consisting of 1 flavor of ice cream, 1 syrup, and 1 candy topping. If the i

adoni [48]

4: 80*5*4 
= 1600 diff ice creams flavors. yum.

4 0

3 years ago

Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?

Delvig [45]

The answer is 5, 4, 2

Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2

3 0

3 years ago

Can i get help please i don't know this

scoundrel [369]

I think it means you have to find the area of both shapes and then compare them to see if Liam is correct if he is not correct say why. Hope this helps :)

3 0

3 years ago