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3 years ago

4x - 7 = -3x What is the answer?

Mathematics

2 answers:

givi [52]3 years ago

7 0

Answer: x= 7

Step-by-step explanation:

4x-7= -3x First add -3x on both sides

+3x +3x

7x -7 = 0

+7 +7 add 7 to both sides

7x = 7

x = 1 divide both sides by 7

soldi70 [24.7K]3 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

1. Add 3x to both sides of the problem

4x + 3x - 7 = -3x + 3x
-3x + 3x cancels out and leaves us with zero
7x - 7 = 0

2. Add 7 to both sides

7x (- 7 + 7) = 0 + 7
-7 + 7 cancels out
7x = 7

3. Divide both sides by 7

7x/7 = 7/7
x = 1

To make sure our answer is correct we can plug in 1 to x in the problem

4(1) - 7 = -3(1)
4 - 7 = -3 : True

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what is the degree of the polynomial ? what is the leading coefficient ? describe the end behavior of each function. f(x)=x^4-2x

Verizon [17]

Answer:

4th degree polynomial with leading coefficient of 1.

As x goes to negative or positive infinity, y goes to positive infinity in both cases.

Step-by-step explanation:

The degree of a polynomial is the highest exponent on the variable. Here it is 4.

The leading coefficient is the coefficient on the the term with the highest degree, Here there is none so it is 1.

The end behavior is how x and y behave at negative and positive infinity. When graphed, this equation has a W shape. This means at each end y goes to positive infinity.

3 0

3 years ago

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

$p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52$

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

3 0

3 years ago

the sum of two numbers is 3 3/4 if 1/3 of the larger number is 1/2 more than 2/3 of the smaller find the number

Agata [3.3K]

Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
= 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
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Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
   = (15 - 3)/4
   = 12/4
   = 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.

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