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2 years ago

No, one, or infinitely many solutions

Mathematics

1 answer:

Aleks04 [339]2 years ago

4 0

Answer:

one, no, one, infinitely

Step-by-step explanation:

a. you can get 7x = 21 - 21 = 0 ==> x = 0

b. subtract 12x from both sides ==> get 15 = -15, which is not true

c. -5x-5x=25+25 ==> -10x = 50 ==> x = -5

d. get -2x -6 -7 = -2x - 6 - 7 ==> so it's infinitely

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Today, everything at a store is on sale. The store offers a 20% discount.

kotykmax [81]

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

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3 years ago

3. use the law of exponents to evaluate (1/x) ^ -n when x= 7 and n= 2

emmainna [20.7K]

D on both ...................

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3 years ago

5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of

lorasvet [3.4K]

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

$8=2x-6$

Solve for x

$2x=8+6$

$2x=14$

$x=7$

therefore

The value of x is 7

The draw in the attached figure

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3 years ago

Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. colu

-Dominant- [34]

The equation of the trend line is ŷ = 0.15x - 23.21

<h3>How to determine the average rate of change of the trend line?</h3>

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w => 93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

Sum of X = 5956
Sum of Y = 680
Mean X = 661.7778
Mean Y = 75.5556
Sum of squares (SSX) = 50569.5556
Sum of products (SP) = 7547.1111

The regression equation is represented as:

ŷ = bX + a

Where:

b = SP/SSX

b = 7547.11/50569.56

b = 0.14924

a = MY - bMX

a = 75.56 - (0.15*661.78)

a = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

Hence, the equation of the trend line is ŷ = 0.15x - 23.21