MATHEMATICS HIGH SCHOOL

Write the equation in slope-intercept form. y−2=−4/3(x+6)

Answers

Answer 1
Answer:

Answer: y = -4/3x - 6

Step-by-step explanation: To write the equation in slope-intercept form, we need to solve for y.

Starting with the given equation: y - 2 = -4/3(x + 6)

First, distribute -4/3 to both terms within the parentheses: y - 2 = -4/3x - 8

Next, isolate y by adding 2 to both sides of the equation: y = -4/3x - 8 + 2

Simplifying further: y = -4/3x - 6

Therefore, the equation in slope-intercept form is y = -4/3x - 6.

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Penjabaran dari 3×+2(4×-6)

What is the solution to the following equation?
(5x-2)^2=10

Answers

take the square root of both sides to get rid of parenthasees, remember to get the positive and negative root
5x-2=+/-√10
add 2 to both sides
5x=2+/-√10
divide by 5
x=(2+/- √(10) )/(y)

x= (2+ √(10) )/(y) or (2- √(10) )/(y)

aprox
x=1.03246 or -0.232456

Adam wants to buy a video game system that costs $100.00. He has $28.35 in one piggy bank and $31.90 in another piggy bank. How much more money does Adam need before he can buy the video game system? How can estimation be used to make sure the answer is reasonable?



A.
Answer: Adam needs $160.25 more.
Estimation: $28 + $32 = $60.
$100 + $60 = $160.
Adam needs about $160 more to buy his video game system.

B.
Answer: Adam needs $39.75 more.
Estimation: $28 + $32 = $60.
$100 – $60 = $40.
Adam needs about $40 more to buy his video game system.

C.
Answer: Adam needs $30.13 more.
Estimation: $28 + $32 = $60.
$60 ÷ 2 = $30.
Adam needs about $30 more to buy his video game system.

Answers

Since we want to know how much more he needs out of the total,  we must do subtraction.  Since the only subtraction one is C,  The answer is C. 

Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.. . If n is \"the number,\" which equation could be used to solve for the number?. . . 3n + 4 = n + 18. 4(3 + n) =n + 18. 3(4 + n) =n + 18. 3(4 + n) + 18 > n

Answers

Answer:

3(n+4)=n+18

The value of n is 3

Step-by-step explanation:

Let n be the required number.

Sum of 4 and the number n is (n +4)

Three multiplied by the sum of 4 and the number= 3(n +4)

Now, 18 more than the number = (n + 18)

From, the given directions, we can write the equation

3(n+4)=n+18

Now, we solve this equation for n

Distribute 3 over the parenthesis

3n+12=n+18

Subtract n to both sides

2n+12=18

Subtract 12 to both sides

2n=6

Divide both sides by 2

n=3

Therefore, the required equation is

3(n+4)=n+18

The value of n is 3
Translate the statement to algebraic language:1) Call x the unknown number2) The sum of 4 and a number = 4 + x3) Three multiplied by the sum of 4 and a number = 3(4 + x)4) Is the same as 18 more than the number: 3( 4 + x) = 18 + xSolve the equation:3*4 + 3x = 18 + x3x - x = 18 - 122x = 6x = 6/3x = 2.The number is 2.

Select the correct product.(6 -
d. (d 2 - 5 + 3d)
6d2 - 30d
d3 - 3d2 - 23d + 30
d2 + 2d - 30
-d3 + 3d2 + 23d - 30

Answers

Hi

(6-d)(d²-5+3d) = 6d²-30+18d-d³+5d-3d² = -d³+6d²-3d²+18d+5d-30
(6-d)(d²-5+3d) = -d³+3d²+23d-30

Answer:  -d³+3d²+23d-30

Answer:

your answer is number 4

Step-by-step explanation:

just did the lesson

Help me plz A. Hormone that helps the body control the level of glucose in the blood
B. The main cause of Type 2 Diabetes
C. Condition that makes it hard for the body to control the level of glucose in the blood.
D. Damage to the pancreas caused by one’s own antibodies
E. The elevation of glucose levels in the blood
F. Found to help with the treatment of clinical depression
G. Organ where insulin is produced
H. “Good” cholesterol
I. 90% to 95% of the cases of diabetes in America
J. Hardening of the arteries caused by a build-up of fatty materials

1. Diabetes (1 point)

2. Atherosclerosis (1 point)

3. Hyperglycemia (1 point)

4. HDL (1 point)

5. Obesity (1 point)

6. Type 1 (1 point)

7. Insulin (1 point)

8. Type 2 (1 point)

9. Pancreas (1 point)

10. Regular aerobic exercise (1 point)

Answers

A. Insulin

B. Diabetes

C. Hyperglycemia

D.

E.

F.

G .Pancreas

H. HDL

I. Obesity

J. Atherosclerosis

D. Type 1
E. Hyperglycemia
F. Regular aerobic exercise

The train at the amusement park is a scale model of a full-size train. A measure of 0.15 meter on the train at the amusement park represents 1 meter on the full-size train. The train at the amusment park is 21 meters long. What is the length of the full-size train in meters

Answers

Answer:

The length of the full-size train is 140 meters.

Step-by-step explanation:

To determine the length of the full-size train, we will use the given relationship between the train at the amusement park and the full-size train.

From the question,

0.15 meter on the train at the amusement park represents 1 meter on the full-size train,

Let the length of the full-size train be x

Now,

If 0.15 meter on the train at the amusement park represents 1 meter on the full-size train

Then, 21 meters on the train at the amusement park will represent x meters on the full-size train

0.15 × x = 21 × 1

0.15x = 21

x = 21/0.15

x = 140 meters

Hence, the length of the full-size train is 140 meters.

Answer:

140m

Step-by-step explanation:

0.15 × x = 21 × 1

0.15x = 21

x = 21/0.15

x = 140 meters
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