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sleet_krkn [62]
3 years ago
14

What is the equivalent expression after this is simplified

Mathematics
2 answers:
mafiozo [28]3 years ago
8 0

Answer: -6 - 5k

Step-by-step explanation:

-3(2+4k) +7(2k-1)

-6+(-12k) + 14k -7k

-6 -12k + 14k - 7k

-6 -5k

JulijaS [17]3 years ago
6 0

Answer:

2k - 13

Step-by-step explanation:

Perform the indicated multiplication using the Distributive Property of Multiplication.

We get -6 - 12k + 14k - 7.

Next, we combine like terms;  - 12k + 14k comes to 2k and

-6 - 7 comes to -13.

The desired equivalent expression is thus

2k - 13

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) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a
Mamont248 [21]

Answer:

Quarters = 10

Dimes = 15

Step-by-step explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions

4 0
3 years ago
Help me plz :D
PilotLPTM [1.2K]
10. When you are trying to find the area you multiply two of the sides together. So assuming that the area is a square then it would be 10 inches on each side.
3 0
3 years ago
Employees from A and company B receive annual bonuses. What information would you need to test the claim that the difference in
lyudmila [28]

Answer:

1. The required information are

The average annual bonuses, \bar {x}_1 received by employees from company A

The average annual bonuses, \bar {x}_2 received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: \bar {x}_1 - \bar {x}_2 ≤ 100

The alternative hypothesis is Hₐ: \bar {x}_1 - \bar {x}_2 > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, \bar {x}_1 received by employees from company A

The average annual bonuses, \bar {x}_2 received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: \bar {x}_1 - \bar {x}_2 ≤ 100

The alternative hypothesis is Hₐ: \bar {x}_1 - \bar {x}_2 > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}

At 0.5 level of significance, the critical z_\alpha = ± 0

The rejection region is z > z_\alpha and z < -z_\alpha

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

7 0
3 years ago
If the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?
MArishka [77]

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

Learn more about a quadratic function here:

brainly.com/question/27958964

#SPJ4

7 0
2 years ago
Read 2 more answers
How many solution does 2x-18=2x-18
Tpy6a [65]

this has 1 solutions Step-by-step explanation:

8 0
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