I need help I don’t get this.

Choose the answer based on the most efficient method as presented in the lesson.

Grace [21]

Remember that to solve an equation we need to isolate the variable in one side. To do it we can perform any mathematical operations we want as long as we perform the operations to both sides of the equation.

Let's solve our equation step by step

Step 1. Subtract $2x$ from both sides of the equation

$2x-8=5x+3$

$2x-2x-8=5x-2x+3$

$-8=3x+3$

Step 2. Subtract 3 from both sides of the equation

$-8-3=3x+3-3$

$-11=3x$

Step 3. Divide both sides of the equation by $3$

$-11=3x$

$\frac{-11}{3} =\frac{3x}{3}$

$-\frac{11}{3} =x$

$x=-\frac{11}{3}$

We can conclude that the next step is: subtract 3 from both sides of the equation.

5 0

3 years ago

Read 2 more answers

Use the function f(x) = 4x² - 7x - 15 to answer the questions.

makkiz [27]

Step-by-step explanation:

Part A:

4x² - 7x - 15

a, b, c = 4, -7, -15

ac = -60

factors that add up to -7 and multiply to -60 are (-12, 5)

rewrite equation

(4x² - 12x) + (5x - 15)

factor out GCF from both groups

4x(x - 3) + 5(x - 3)

(4x+5)(x-3)

Part B:

Using the factored form from the previous part we can set both factors equal to 0 to solve for x.

4x+5 = 0

4x = -5

x = -5/4

x-3 = 0

x = 3

the two x-intercepts are -5/4 and 3

Part C:

Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.

8 0

2 years ago

What’s the length of the diagonal line that splits the square?

NeX [460]

The length of the diagonal line is 191 meters.

135² + 135² = c²
18225+18225 =c²
√36450 = √c²
190.91 = c

Round to the nearest meter = 191 meters

5 0

3 years ago

A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup

Alchen [17]

There are 35 coupons in the jar.
The probability to choose coupon for 1 month of extended membership is $p(A)= \frac{20}{35} = \frac{4}{7}$ .
The probability to choose coupon for 1.5 months of extended membership is $p(B)= \frac{10}{35} = \frac{2}{7}$ .

Answer: With probability $\frac{4}{7}$ a customer will get 30 days extended membership, 
with probability $\frac{2}{7}$ a customer will get 450 days extended membership,
with probability $\frac{1}{7}$ a customer will get 60 days extended membership.
The probability to choose coupon for 1 month of extended membership is $p(C)= \frac{5}{35} = \frac{1}{7}$ .
Together P(A)+P(B)+p(C)=1.

5 0

4 years ago

The quadrilaterals JKLM and PQRS are similar.

Sveta_85 [38]

Answer:

$x$ = 2.8

Step-by-step explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 : $x$ = 2 / $x$

Therefore, $\frac{2}{x}=\frac{5}{7}$

cross multiply: 14 = 5 $x$

Divide both sides by 5: $x$ = 2.8

8 0

2 years ago