Solve the quadratic equation. Simplify if possible:

-5 (x + 3) 2 = -80

Answers

Answer 1

Answer:

Step-by-step explanation:

(x +y)² = x² + 2xy +y²

-5(x + 3)² = -80

-5(x² + 2*x*3 + 3²) = -80          

-5(x² + 6x + 9) = -80

Divide the equation by (-5)

x² + 6x +9 = -80/-5

x² + 6x + 9 = 16

x² + 6x + 9 - 16 = 0

x² + 6x  - 7 = 0

x² - x + 7x - 7 = 0

x(x - 1)  + 7(x - 1) = 0

(x - 1)(x + 7) = 0

x -1 = 0   ; x + 7 = 0

x = 1     ; x = -7


Related Questions

Johanna is online shopping for a dress she really wants. The original cost of the dress is $50. She saw that exact same dress on sale for $34.What is the percent decrease for the dress Johanna wants to buy? Explain in writing/typing how you would solve the problem.

Answers

Answer:

32%

Step-by-step explanation:

50-34=16

16/50=0.32

0.32 x 100= 32

-9 - p = 93, what is p?

Answers

-9-p=93
-p=102
p=-102
pls mark me brainliest :)

Substitute t=3 and t=5 to determine if the two expressions are equivalent.

4(t+3) 4t+12


which statements are true? check all that apply.
A. the value of both expressions when t=5 is 32.
B. the two expressions are not equivalent.
C. the value of both expressions when t=3 is 15
D. the value of both expressions when t=5 is 23
E. the two expressions are equivalent
F. the value of both expressions when t=3 is 24​

Answers

Answer:

E

because both sides are equal when substituted by 3 & 5

Help pleaseeeeeeeee
...

Answers

Answer:

The answer is $2.04 i dont know what the silver coin is.

Step-by-step explanation:

What is the area of this quadrilateral?
315
47
O A. 12 square feet
ОО
B. 16 square feet
C. 26 square feet
D. 24 square feet

Answers

Answer:

A12 square feet

[tex] (\frac{1}{2} \times 4 \times 3) + ( \frac{1}{2} \times 4 \times 3) \\ 6 + 6 \\ 12[/tex]

Answer:

A. 12 square feet

Step-by-step explanation:

I got it right on my test

Given the function g(x) = 8x − 2, find g(−2) and g(4).
Group of answer choices

g(−2) = −18 and g(4) = 10

g(−2) = 14 and g(4) = 10

g(−2) = −18 and g(4) = 30

g(−2) = 14 and g(4) = 30

Plz, help asap!!!!! Very much appreciated.

Answers

Answer:

-18, 30

Step-by-step explanation:

8 × -2 = -16

-16 - 2 = -18

8×4=32

32-2=30

hope this helps! :)

What is the surface area of a hemisphere with radius 5cm, correct to 1 decimal place

Answers

[tex]area \: ofhemisphere\\ \frac{3}{4} \pi \: r {}^{2} h[/tex]


A person is flying a kite using 40 meters of kite string as shown in the diagram. What is the
approximate measure of the height, h, of the kite?

Answers

Answer:

The measure of the height is 34.6 meters

What is the value of the expression 4(3x + 5) when x = 11?

Answers

Answer:

152

Step-by-step explanation:

x=11, so substitute that into the expression.

4(3(11)+5)

4(33+5)

4(38)= 152.

Answer:

i think its 152

Step-by-step explanation:

any awnsers will give brainless

Answers

For the first, simply plug in the value of x given (x = 2) into the equation: [tex]\left\frac{3}{4}x^2 + 5\right.|_{x=2} = \frac{3}{4}\left ( 2^2 \right )+5 = 8.[/tex]

So, 8 would be your answer.

For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.

For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.

I need help with my mathwork

Answers

Answer:

1. 4.2 x 10^-7

2. 2.9 x 10^-6

3. 7.1 x 10^-2

4. 2.56 x 10^5

Answer:

least to greatest

4.2 * 10^-7

2.9*10^-6

7.1 * 10^-2

2.56 * 10^5

Step-by-step explanation:

2.56 * 10^5 =256000

4.2 * 10^-7 =0.00000042

7.1 * 10^-2 =0.071

2.9*10^-6 = 0.0000029

Please help me to find the slope.

Answers

Answer:

-3/5

Explanation:

slope is y2 - y1/x2 - x1

Answer:

3/5 is the slope

Step-by-step explanation:

just think RISE/RUN so you start on a dot that is intersecting with a line then count however many blocks up until you reach the other dot on the line that is also intersecting with the graph. Once you have done that you can move to the left however many spaces until you reach the second dot. Then you're done!

hope this helps. have a good day. please leave a like and if possible mark brainliest!!! THANKS

Find the intersection points of the parabola y=−3x2−2x+2 and the line 10x−y=−11. Give your answer as two ordered pairs separated by a comma. For example, if you found that the solutions were (1,2) and (3,4) you would enter (1,2),(3,4).

Answers

Answer:

(-1,1),(-3,-19)

Step-by-step explanation:

y=−3x²−2x+2     (1)

10x−y=−11

y=10x+11    (2)

−3x²−2x+2 = 10x+11

3x² + 12x + 9 = 0

x²  + 4x + 3 = 0

(x + 1)(x+3) = 0

x= -1 or x = -3

y = 1 or y = -19

The solutions of the equations y = −3x² − 2x + 2 and 10x − y = −11 will be (-1, 1) and (-3, -19).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y = −3x² − 2x + 2         ...1

10x − y = −11                ...2

From equations 1 and 2, then we have

10x + 11 = −3x² − 2x + 2

3x² + 12x + 9 = 0

x² + 4x + 3 = 0

x² + 3x + x + 3 = 0

x(x + 3) + 1(x + 3) = 0

(x + 3)(x + 1) = 0

x = -1, -3

The value of y at x = - 1 is given as,

y = 10(-1)  + 11

y = 1

The value of y at x = -3 is given as,

y = 10(-3)  + 11

y = - 19

The solutions of the equations y = −3x² − 2x + 2 and 10x − y = −11 will be (-1, 1) and (-3, -19).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Value of people so that the expression 3(4+n) is equipment to 3(n+p) ​

Answers

3(n+p) = 3(4+n)
3n+3p = 12+3n
3p=12
p=4

Ava has a jewelry box in the shape of a pentagonal prism.
6 in.
The area of the base of Ava's jewelry box is 110 square inches and each edge of the pentagon is 8 inches. What is the surface area
of the jewelry box?
OA. 220 square inches
ОВ.
240 square inches
OC
460 square inches
OD
660 square inches

Answers

Answer:

C. 460 square inches

Step-by-step explanation:

Side of the base = 8 inHeight of the prism = 6 inBase area = 110 in²

Total surface area (two bases and 5 faces):

S = 2(110) + 5(6*8) = 460 in²

Correct choice is C

Answer:

C. 460 square inches

Step-by-step explanation:

Because it is the "Correct Answer"

8. The measures of two angles in an isosceles triangle are shown in the diagram.

Which equation can be used to find the value of x?

A. 45 + 2x = 180
B. 2(45) + x = 180
C. 45 + 2x = 360
D. 45 + x = 180

Answers

Answer:

A

Step-by-step explanation:

Because 45 + 2x = 180 divide it by 2 gives 4

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find
the mean, median, mode, and standard deviation. Round to one decimal place as needed.
20, 22, 26, 27, 30, 31, 35, 35
Mean =
Median =
Mode =
Standard Deviation =

Answers

Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2

(All of the above are rounded off to one decimal place)

How to find mean, median, mode ?

The given data are : 20, 22, 26, 27, 30, 31, 35, 35

We know that, mean = (sum of samples)/(no. of samples)

                                   = (20+22+26+27+30+31+35+35)/8

                                   = 226/8 = 28.25 = 28.3 (approx)

Here, median = (sum of 4th & 5th sample)/2

                       = (27+30)/2 = 57/2 = 28.5

Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35

What is the required standard deviation ?

Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8

= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8

= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)

Learn more about mean, median, mode, and standard deviation here :

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what is the simplified version of 4+5y-6y+y

Answers

Hi the answer is 4 hope this helps
The answer is just 4 because 5y-6y= -1y and -1y + 1y= 0. So the answer should be just 4

Celeste ordered a pack with 7 pens and 1 stapler. Each pen weighed 7 grams. The stapler weighed 486 grams. How many kilograms did the order weigh? Note: 1 kilogram = 1,000 grams

Answers

Answer: 0.535kilogram

Step-by-step explanation:

From the question, we are informed that Celeste ordered a pack with 7 pens and 1 stapler and that each pen weighed 7 grams while the stapler weighed 486 grams.

The weight of the order will then be:

= 7 pens + 1 stapler

= 7(7 grams) + 1(486 grams)

= 49 grams + 486 grams

= 535 grams

To convert grams to kilogram,, we have to divide by 1000. This will be:

= 535/1000

= 0.535kilograms

The order weigh 0.535kilograms

Original price of a computer: $2,600.00 Discount: 6%

Answers

Answer:2444(new price after discount)

Step-by-step explanation:looked it up

2600-156

156(discount amount)

Answer:

Step-by-step explanation:

(Re-Asking This Question, NO scam answers or LINKS. I will report.)

Is the point (-5, -6) a solution of the inequality 3x - 2y > -4? EXPLAIN your answer.

Please DO NOT say just yes, no, or I don't know.

Answers

Answer:

Yes

Step-by-step explanation:

This is because the first point in the parenthesis is x and the second is y. If we know this, we can substitute -5 in for x and -6 in for y to get that -15 - (-12) > -4. When you subtract by a negative number, it is the same as adding by that number, so -15 - (-12) = -15 + 12, so we get that -3 > -4. This is true because when you have negative numbers, the lesser negative number is the greater one (Ex. -5 > -6).

1. What name is given to the shaded region?
a. sector b. segment c. arc d. radii

2. The line ST is called..........
a. an arc b. a chord c. a diameter d. a radius ​

Answers

Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

If 8.5 kilometers is about
4 miles, about how many
kilometers is 16 miles?
I asked this question last time but the answer I got was wrong so can y'all help my this is due like in an hour and it's the last question

Answers

Answer:

25 or 26 depending if your rounding if you're not rounding it's 25.7495

Please need answer help help?!?!?

Answers

Answer:

5

Step-by-step explanation:

The square root of 25 is 5

Please halp I need to finish my homework by Monday and I haven’t been able to finish it so please halp! The question is 9x3/4!!!

Answers

Answer:

Step-by-step explanation: 6.75

Four balls of wool will make 8 knitted caps. How many balls of wool will
Malcolm need if he wants to make 6 caps?*
1 point
Balls of Wool
4
Number of Caps
8
6
2 balls of wool
3 balls of wool
4 balls of wool
5 balls of wool

Answers

Answer:

3 is the answer hope it helps

Step-by-step explanation:

Jan loves pillows and decides to make throw-pillows for her new sofa and bed. The pillows will be in the
shape of an isoceles triangle. She wants to trim each pillow with white lace. The base of each triangle is
7 inches. Jan purchases a 310-inch roll of lace trim and wants to make at least 6 pillows. What is the
maximum length possible for each leg of the triangle?
a. 20.3 inches
b. 21.4 inches
C. 22.3 inches
d. 24.3 inches

Answers

Answer:

C. 22.3 inches

Step-by-step explanation:

Help please! I need an answer asap

Answers

Answer:

-2/3

Step-by-step explanation:

h(x)=2x-6/4x^2+8

You know that h is equal to -1 so you have to plug that into x.

2(-1)-6/4(-1)^2+8. Simplify this to get -2-6/4+8 which is equal to -8/12. The GCM of 8 and 12 is 4 so you have to divide both sides by 4. This will make the fraction -2/3.

If this has helped you, please mark the answer as brainliest

Answer: [tex]h(-1) = \frac{-2}{3}[/tex]

Step-by-step explanation:

You simply substitute -1 for x

h (-1) = 2 (-1) - 6 ÷ (4 × -1² + 8)

h (-1) = (-2 - 6) ÷ (4 × 1 + 8)

h (-1) = (-2 -6) ÷ (4 + 8)

h (-1) = -8 ÷ 12 = -2 ÷ 3

h (-1) = ⁻²/₃

Find the missing factor AAA that makes the equality true. 8x^3=(-2x)(A)8x 3 =(−2x)(A)8, x, cubed, equals, left parenthesis, minus, 2, x, right parenthesis, left parenthesis, A, right parenthesis A =A=A, equals

Answers

Given:

The equation is:

[tex]8x^3=(-2x)A[/tex]

To find:

The missing factor AAA that makes the equality true.

Solution:

We have,

[tex]8x^3=(-2x)A[/tex]

Divide both sides by -2x to isolate A.

[tex]\dfrac{8x^3}{-2x}=A[/tex]

[tex]-4x^2=A[/tex]

Therefore, the value of A is [tex]-4x^2[/tex].

Which situation can be represented by the equation y
12x?

Answers

Answer:

Step-by-step explanation:

Answer:

so its C

Step-by-step explanation:

teacher said so

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