1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nalin [4]
2 years ago
13

Abriana claims that the solution to the system of linear equations y = 2x – 1 and –12x + 3y = 9 is (–2, –5). Select all methods

that could be used to prove Paige's claim.
Mathematics
1 answer:
EleoNora [17]2 years ago
7 0

Answer:

Substitution method can be used

Step-by-step explanation:

Given the system of equations

y = 2x-1 ....1

-12x + 3y = 9 ....2

The best method to use id the substitution method

Substitute equation 1 into 2;

From 2;

-12x + 3y = 9

-4x + y = 3

-4x + 2x-1 = 3

-2x -1 = 3

-2x = 3+1

-2X = 4

x = -4/2

x = -2

Substitute x = -2 into 1

y = 2x - 1

y = 2(-2)-1

y = -4-1

y = -5

Hence the solution to the system of equation is (-2, -5)

You might be interested in
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
fiasKO [112]

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

y = 2x + (-2)

y = 2x - 2

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

8 = 2(a) - 2

8 = 2a - 2

Add 2 to both sides

8 + 2 = 2a

10 = 2a

Divide both sides by 2

\frac{10}{2} = a

5 = a

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

b = 2(4) - 2

b = 8 - 2

b = 6

5 0
3 years ago
The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1000 a
NeX [460]

Answer:

b. 2.28%.

Step-by-step explanation:

Mean temperatue (μ) = 1000°F

Standard Deviation (σ) = 50 °F

For any temperature value, X, the z-score is given by:

z=\frac{X-\mu}{\sigma}

For X= 900°F

z=\frac{900-1000}{50}\\z=-2.0

A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:

P(X

7 0
3 years ago
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 0
olya-2409 [2.1K]

Answer:

I think the answers are...

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

(I'm so sorry if it's wrong)

Hope this Helps!

4 0
3 years ago
Read 2 more answers
A grower packs 4,568 peaches. He packs the most peaches possible, dividing them equally into 9 boxes, and then gives away the re
KiRa [710]

507 peaches in each box.

He gives away 5 peaches.

If he sells 7 boxes he has 1019 peaches left.

Hope this helps.

3 0
2 years ago
Read 2 more answers
In 2decimal places 39.98015​
Morgarella [4.7K]

Answer:

39.98

Explanation:

39.98015​

0 < 5, so 2nd decimal stays at 8

6 0
2 years ago
Read 2 more answers
Other questions:
  • 10 points thanks to those who help
    10·2 answers
  • What does 5 2/3 - 8 5/6 equal?
    15·1 answer
  • Need Help Please I'm Out Of Time ;(
    15·1 answer
  • How to Graph y=4/5x-7
    13·1 answer
  • Mr. Rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4 1/2 hours. If Mr. Rodr
    11·1 answer
  • What is the volume of the cone?
    8·2 answers
  • Please answer ASAP!! Thank you!!:)
    10·2 answers
  • Find the distance between (3,0) and (8,12)
    11·2 answers
  • Keep calm and carry on wants to design a bag for a new
    14·2 answers
  • You rent an apartment that costs $1300 per month during the first year, but the rent
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!