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3 years ago

Can you solve this and show work I wanna check if I got the answer right (I got -5)

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

-2(3y + 5) = -4

3y + 5 = 2

3y = -3

y = -1

5y = 5(-1) = -5

marissa [1.9K]3 years ago

4 0

-2(3y + 5) = -4

Distribute

-6y - 10 = -4

Add

-6y = 6

Divide

y = -1

Multiply

5y = -5

You got it right.

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If DM = 35, what is the value of r?

Gennadij [26K]

Answer:

$r = 11$

Step-by-step explanation:

Given

$DM = 35$

$DG = r + 5$

$GM = 3r - 14$

Required

Find r

From the question, we understand that G is a point between D and M:

This implies that:

$DM = DG + GM$

Substitute values for DM, DG and GM

$35 = r + 5 + 3r - 14$

Collect Like Terms

$r + 3r = 35 - 5 + 14$

$4r = 44$

Solve for r

$r = 44/4$

$r = 11$

3 0

3 years ago

Multiply the following numbers. Reduce the answer to the lowest terms. 3 1/8 times 1/7 please hurry!

STALIN [3.7K]

Answer:

25/56

Step-by-step explanation:

make 3 1/8 an improper fraction then u should get 25/8 and then multiply the numerator of 1/7 by 25 and then multiply the denominators of the two fractions to get 7*8=56 so your fraction is 25/56

5 0

3 years ago

Read 2 more answers

Solve for x -2x - 5 + 4x = 7 + 6x Question 2 options: x=3 x=2 x= -3 x= -2

noname [10]

Answer:

x=-4

Step-by-step explanation:

x - 2x - 5 +4x = 7 + 6x

3x - 5 = 7 +6x

-3x -3x

-5 = 7 + 3x

-7 -7

-12 = 3x

-12/3= 3x/3

-4 = x

3 0

3 years ago

To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additiona

earnstyle [38]

Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0

2 years ago

Please please please need help on 3 and 4 I’m really lost on them

Alex73 [517]

Answer:

1) Option c) is correct ie., 5 real and o non-real

2) Option b) is correct ie., (4, $\frac{1}{2}$ , $\frac{1}{2}$ , 2,2)

Step-by-step explanation:

Given polynomial function is $f(x)=x^5-3x^3-2$

To find zeros equate f(x) to zero ie., $f(x)=0$

$x^5-3x^3-2=0$

By synthetic division

| 1 0 -3 0 -2

-1 | 0 -1 1 2 2

|_________________

1 -1 -2 2 0

Therefore x=-1 is a zero

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

| 1 -1 -2 2

1 | 0 1 0 2

|___________________

1 0 -2 0

x=1 is the zero

$x^2 -2 =0$

$x=\pm\sqrt{2}$

$x=\sqrt{2}$ and

$x=\sqrt{-2}$

Option c) is correct ie., 5 real and o non-real

2) Given polynomial function is $f(x)=(x-4)(2x-1)^2(x-2)^2$

To find zeros equate f(x) to zero ie., $f(x)=0$

$(x-4)(2x-1)^2(x-2)^2=0$

$(x-4)=0$ (or) $(2x-1)^2=0$ or $(x-2)^2=0$

Therefore x=4, $x=\frac{1}{2}$ of multiplicity of 2 and x=2 multiplicity of 2

Option b) is correct ie., (4, $\frac{1}{2}$ , $\frac{1}{2}$ , 2,2)

5 0

3 years ago