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taurus [48]
3 years ago
12

Solve algebraically please URGENT y=5x−7 −6x−4y=−24

Mathematics
1 answer:
Kazeer [188]3 years ago
7 0

\left\{\begin{array}{ccc}y=5x-7\\-6x-4y=-24&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}y=5x-7&(*)\\3x+2y=12&(**)\end{array}\right\\\\\text{substitute }\ (*)\ \text{to}\ (**):\\\\3x+2(5x-7)=12\qquad\text{use distributive property}\\\\3x+(2)(5x)+(2)(-7)=12\\\\3x+10x-14=12\qquad\text{add 14 to both sides}\\\\13x=26\qquad\text{divide oth sides by 13}\\\\\boxed{x=2}\\\\\text{Put the vaalue of x to}\ (*):\\\\y=5(2)-7\\\\y=10-7\\\\\boxed{y=3}\\\\Answer:\ \boxed{x=2\ and\ y=3\to(2,\ 3)}

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Which values for A and B will create infinitely many solutions for this system of equations?
Ksivusya [100]

Answer:

A= 6, B= -15

Step-by-step explanation:

3 0
3 years ago
At the park, there is a triangular sandbox with base = 12ft and height = 4ft. A drawing of the sandbox is shown above. Brie want
sammy [17]

Your question is not clear, but it looks as though you want to know how Brie can make a similar sandbox with base = 8ft.

Answer:

For Brie to make a similar sandbox, he must use a base = 8ft, and height = (8/3)ft

Step-by-step explanation:

It is possible for Brie to make a similar triangular sandbox with base = 12ft and height = 4ft.

All he must ensure is that the ratio of base to height of the original sandbox is the same ratio of base to height of the one he is trying to make.

The original sandbox is 12:4

Because he wants to use a base = 8ft, the sandbox he is trying to make is 8:x

Where x is the height of the sandbox he is trying to make.

Then for these sandboxes to be similar, the ratio 12:4 = 8:x

=> 12/4 = 8/x

12x = 8 × 4

12x = 32

x = 8/3

The height must be (8/3)ft

3 0
3 years ago
Help me plz. I don’t really understand this.
Morgarella [4.7K]

Answer:

K=8

Step-by-step explanation:

The triangles are similar so you can set up the porpotions: 3/6=4/k then you cross multiply and solve for k

8 0
2 years ago
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with
Katen [24]

Answer:

  1. Elanor's standardized score is  1.19
  2. Gerald's standardized score is 0.72
  3. Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=\frac{X-M}{s} where

  • X is the student's score
  • M is the mean score of the exam
  • s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = \frac{680-554}{106} ≈ 1.19

Gerald's standardized score is:

z(g)= \frac{27-24.7}{3.2} ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0
3 years ago
Is the graph of 6x2 - 2y = 7 a line? Explain.
Hoochie [10]

Answer:

No, it is a parabola. (assuming that you meant to write 6x² - 2y = 7).

Step-by-step explanation:

If there is a square in the x or y, this gives it away that it cannot be a straight line.

6 0
3 years ago
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