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disa [49]
2 years ago
11

two linear functions have the same slope,same x-intercept, and same y-intercept. Must these functions be identical? Explain your

reasoning
Mathematics
1 answer:
Leviafan [203]2 years ago
4 0
Yes, because only one line can go through two set points and because they have the same slope and the same x and y-intercepts they have two set points that they must both go through making them identical.
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Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.
Ahat [919]

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

Read more about factorization at; brainly.com/question/11000698

The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

8 0
2 years ago
Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8
fomenos

Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

=> A(10)(5)(2) = 17

=> 100A = 17, A = 0.17.

Hence the answer is f(x) = 0.17x(x - 5)(x - 8).

3 0
2 years ago
Solve the inequality. q - 1 1/3 > -2 1/2
ioda

\Leftrightarrow q>1\frac{1}{6}

Step-by-step explanation:

  q-\frac {11}{3}>-2\frac{1}{2}

\Leftrightarrow q>-2\frac{1}{2}+\frac {11}{3}

\Leftrightarrow q>\frac{7}{6}

\Leftrightarrow q>1\frac{1}{6}

6 0
2 years ago
Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
STatiana [176]

Answer:

Step-by-step explanation:

e

5 0
2 years ago
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Can anyone help me? Worth 10 points!!!
Andrews [41]

Answer:

33

Step-by-step explanation:

  1. Fabric for 1 pillow case: 1.5 ÷ 3 = 0.5
  2. Amount of pillow cases made with 16.5 yards of fabric: 16.5 ÷ 0.5 = 33

I hope this helps!

7 0
3 years ago
Read 2 more answers
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