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jeka57 [31]
3 years ago
15

Factor the quadratic expression completely. -3x^2 + 17x - 20

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0
Answer- -(x-4)(3x-5)

Work- -3x^2+12x+5x-20
-3x(x-4)+5(x-4)
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I REALLY NEED HELP
garri49 [273]
Look at the picture.

1.
y=mx+b\\\\m=\dfrac{9}{3}=3\\\\b=4\\\\\boxed{f(x)=3x+4}

2.
f(x)=-2x+3\\\\for\ x=-2\to f(-2)=-2\cdot(-2)+3=4+3=7\to(-2;\ 7)\\for\ x=-1\to f(-1)=-2\cdot(-1)+3=2+3=5\to(-1;\ 5)\\for\ x=0\to f(0)=-2\cdot0+3=3\to(0;\ 3)\\for\ x=1\to f(1)=-2\cdot1+3=-2+3=1\to(1;\ 1)

3.
y=mx+b\\\\m=\dfrac{3}{6}=\dfrac{1}{2}=0.5\\\\b=-3\\\\\boxed{f(x)=0.5x-3}
for\ x=-6\to f(-6)=-6\\for\ x=-2\to f(-2)=-4\\for\ x=0\to f(0)=-3\\for\ x=6\to f(6)=0

4 0
3 years ago
Which problem is being modeled on the number line? helppp
PIT_PIT [208]

Answer:

4 is

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
PLEASE HELP QUICK, I need to know the answer.
Marysya12 [62]

The equivalent expression is 7^{2}.

We have the following expression -

\frac{7^{-3} }{7^{-5} }

We have to find its equivalent value.

<h3>What is the equivalent expression of the following expression-</h3>

f(x, y) =\frac{A^{x} }{A^{y} }

In order to divide two exponents with same base, we use the 'Quotient property of exponents.

The equivalent expression can be written as -

f(x, y) = A^{x} A^{-y} = A^{x-y}

In the question given we have -

\frac{7^{-3} }{7^{-5} }

Using the property discussed above -

7^{-3}\;7^{5} = 7^{-3+5} = 7^{2}

Hence, the equivalent expression is 7^{2}.

To solve more questions on exponents, visit the link below -

brainly.com/question/17173276

#SPJ5

3 0
2 years ago
Read 2 more answers
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
4 years ago
Identify the number that does not belong with the other three. Explain your reasoning. 26.6 repeating 6, square root 48, negativ
noname [10]
The square root of 48 is the only irrational number in that group.
5 0
3 years ago
Read 2 more answers
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