Solve the quadratic equation: -x^2+8x=7

Answers

Answer 1

Answer:

Step-by-step explanation:

Solve The Quadratic Equation: -x^2+8x=7
Answer 2

To solve the quadratic equation [tex]-x^2 + 8x = 7[/tex], we first convert it to standard form and identify the coefficients. Using the quadratic formula, we find the solutions to be x = -1 and x = 7.

To solve the given quadratic equation, [tex]-x^2 + 8x = 7[/tex], we first need to bring the equation to the standard form of a quadratic equation, which is [tex]ax^2 + bx + c = 0[/tex]. We can do this by subtracting 7 from both sides, resulting in [tex]-x^2 + 8x - 7 = 0[/tex].

Now the equation is in standard form, we identify the coefficients: a = -1, b = 8, and c = -7. Applying these to the quadratic formula, x = [-b ± [tex]\sqrt(b^2 - 4ac)[/tex]] / (2a), we get:

x = [-8 ± [tex]\sqrt((8)^2[/tex] - 4(-1)(-7))] / [2(-1)]

x = [-8 ± [tex]\sqrt(64 - 28)[/tex]] / -2

x = [-8 ± [tex]\sqrt(36)[/tex]] / -2

x = [-8 ± 6] / -2

Now, solving for x, we get two solutions:

x = (-8 + 6) / -2 = -1

x = (-8 - 6) / -2 = 7

Therefore, the solutions to the quadratic equation are x = -1 and x = 7.


Related Questions

Chandler needed 10 gallons of gas last week. This week, Chandler ended up needing 60% more than that amount.How much gas is that

Answers

Answer:

16 gallons total

Step-by-step explanation:

60% of 10 is 6

6 plus the original 10 is 16

Please make me the brainliest

Answer:

16

Step-by-step explanation:

f the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the new parallelogram?

Parallelogram a
78 in2


b
84 in2


c
104 in2


d
108 in2




Answers

Answer:

C.

Step-by-step explanation:

Cuál es el área del paralelogramo?

Answers

Answer:

The area is 500 square inches

Step-by-step explanation:

A=B*H

A=20*25

Cylinder A has a base of 3 and height of 3 cylinder be has the base of 2 and the height of 4. What is the ratio of the volume of cylinder A to the volume of cylinder B?

Answers

Answer:

1.6875

Step-by-step explanation:

For cylinder A, the base = diameter = 3, the height of the base is 3.

The radius of cylinder A (r) = diameter / 2 = 3/2 = 1.5

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1.5² × 3 = 6.75π

For cylinder B, the base = diameter = 2, the height of the base is 4.

The radius of cylinder B (r) = diameter / 2 = 2/2 = 1

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1² × 4 = 4π

The ratio of the volume of cylinder A to the volume of cylinder B = volume of cylinder A / volume of cylinder B = 6.75π / 4π = 1.6875

What is the slope of the line

Answers

Answer:

Step-by-step explanation:

(0,2)  (1,0)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-2}{1-0}\\\\=\frac{-2}{1}\\\\=-2[/tex]

The radius of a circle is 1 foot. What is the diameter?
r=1 ft
Give the exact answer in simplest form.
feet

Answers

Final answer:

The diameter of a circle with a radius of 1 foot is 2 feet.

Explanation:

The radius of a circle is half the diameter. So, if the radius (r) of a circle is given as 1 foot, the diameter (d) is simply twice the radius. Therefore, the diameter is:

d = 2 × r

d = 2 × 1 ft

d = 2 ft

Hence, the diameter of the circle is 2 feet.

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

Answers

Answer:

it will be 19, 23, 27

Step-by-step explanation:

all you have to do is check the pattern the sequence uses to progress. in this sequence it increases by adding 4 to a previous number.

so;

3 + 4= 7

7 + 4= 11

11 + 4= 15... and so on

i hope this helps

Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b on her gift card after n lattes. What is the meaning of the x-intercept



A) Nevaeh’s card is depleted after 10 lattes

B) Nevaeh has $25 on her gift card.

C) Each latte is $2.50

D) Nevaeh has no money left on her card after 25 lattes

Answers

Answer:

your answer is c give me brainliest please

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

After 2 lattes the balance is $20 so each latte cost $2.50

MATH HELP 10 PTS

A rectangular gardens length is 6 feet longer than it’s width. if the perimeter can be represented by P(x)= 4x + 12.

What is the width and length of the garden if the perimeter is 32 ft?

Answers

Answer:

The width is 5 and the length is 11

Step-by-step explanation:

The formula for perimeter is

P = 2(l+w)

We know the perimeter is 32

32 = 2 (l+w)

Divide each side by 2

32/2 = 2(l+w)

16 = l+w

We know the length is 6 longer than the width

l = w+6

16 = w+6+w

Combine like terms

16 = 2w+6

Subtract 6 from each side

16-6 = 2w+6-6

10 = 2w

Divide by 2

10/2 = 2w/2

5 =w

The length  is

l = w+6

   5+6 = 11

−n+(−3)+3n+5 combine like terms

Answers

Answer:

(-3+5)+(3n-n) = 2+2n

Step-by-step explanation:

Cylinder r=3 H=16
cone d=6 H=9​

Answers

Answer:

C =  144*pi  cubic units  (cylinder)

V  =  27*pi cubic units (cone)

Step-by-step explanation:

Cylinder r=3 H=16

cone d=6 H=9​

I know what you mean.

You want volume.

C = (pi)*r^2 * h

V = (1/3)*(pi) *r^2 * h   for a cone

---------------------------

C = (pi) * (3)^2 * 16 =  144*pi  cubic units  (cylinder)

V = (1/3)*(pi)*(3^2) * 9 =  27*pi cubic units (cone)

Judith scores an 85 on 19 of the 25 math tests she took this year. What is the experimental probability that she will score an 85 or higher on her next test? Write the probability as a percent.

Answers

Answer:

The answer is %33,33.

Step-by-step explanation:

Depending on the information given in the question, we can see that Judith received a score of 85 or higher in one of her three tests.

So we can calculate her probability of receiving 85 or higher as 100/3 = %33,33.

I hope this answer helps.

what is 1+234x9876-076+09x09.9876543212345678/8976543213456789.9876543

Answers

Not sure if this is a joke but it’s impossible! Sorry, but if you were to take out the second decimal point in the decimal than I think it would be 2310998.889

Answer:

the answer would be around 2310913.111...

Step-by-step explanation:

use bedmas

PLEASE HELP ASAP

2(x+10)+5(4x-11)

Answers

Answer:

22x - 35

Step-by-step explanation:

Expand 2(x+10)

2x+20

Expand 5(4x-11)

20x-55

Simplify:

22x-35

Answer:

0.24

Step-by-step explanation:

1. you have to distributive property all

2(x+10)+5(4x-11)

2.You have to subtract the x

2x+10+20x+55

3. you have to subtract the natural number

20+18x-55

4. you have to divide

75/18x

then the answer is 0.24

A pencil holder shaped like a triangular prism is shown in the picture the height of the pencil holder is 12 cm,and the volume of the pencil holder is 216 cm.what is the area of the base of the pencil holder in square centimeters

Answers

The area of the base of the triangular prism-shaped pencil holder is 18 square centimeters, calculated by dividing the given volume of 216 cm³ by the height of 12 cm.

The question asks for the area of the base of a pencil holder with a given volume and height, shaped like a triangular prism. To find the area of the base of the pencil holder, we can use the formula for the volume of a prism: Volume = Base Area  imes Height. Since the volume and height are given, we can rearrange the formula to solve for the Base Area as follows:

Base Area = Volume / Height

Plugging in the values given:

Base Area = 216 cm³ / 12 cm

Base Area = 18 cm²

Therefore, the area of the base of the pencil holder is 18 square centimeters.

The ratio of girls to boys is 3 to 4. If there are 48 boys, how many girls are there?
40

Answers

the answer is 36
48 divided by 4 equals 12
so 12 times 3 equal 36

In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from their parents. How many walkers got a ride to school from their parents today?

Answers

The percentage of walkers who got a ride is 37.5/3=12.5%
The number of that is 0.125*24=3 students.

describe how to translate the graph of y = x + 2 to the graph of the given function.

y = x + 7

pls help and show work!!!!

Answers

Answer:

Step-by-step explanation:

y = x + 2 and y = x + 7 are parallel straight lines which have the same slope, 1.  The graph of y  = x + 2 becomes the graph of y = x + 7 if we translate it (graph of y = x + 2) up 5 units.

Solve the following equation by factoring. 9x^2 - 16 = 0

Answers

Step-by-step explanation:

9x2 - 16 = 0

Both are squares so

3x - 4 = 0

Amy ran for president of the chess club, and she received 38 votes. There were 40 members in the club. What percentage of the club members voted for Amy?

Answers

Answer:

95%

Step-by-step explanation:

Step 1: 38/40= 0.95

Step 2: multiply 0.95x100= 95

Describe the transformations from, y=x2, the original parent function
y = (x - 6)2

Answers

Going from y = x^2 to y = (x-6)^2 has the graph shifted 6 units to the right

The replacement of "x" with "x-6" shifts the xy axis 6 units to the left. All new inputs are 6 units smaller than before. If you shift the xy axis 6 units to the left and keep the parabola still, then it gives the illusion the parabola moved 6 units to the right.

Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg, and the median mass was 3,600 kg . The smallest elephant, named Lola, weighed 2,700 kg

Lola then got very sick and lost weight until her mass reached 1,800 kg

How will Lola's mass decreasing affect the mean and median?

(A) Both the mean and median will decrease.

(B)The median will decrease, and the mean will stay the same.

(C)The mean will decrease, and the median will stay the same.

(D) The mean will decrease, and the median will increase.

Answers

Answer:

Step-by-step explanation:

21

Answer:

c

Step-by-step explanation:

the mean will change because she weighs less but the median stays the same because she was the smallest elephant anyway

Write the equation x2=7x in standard form.

Answers

Answer:

i believe it's x2-7x=0

Step-by-step explanation:

Final answer:

To write the equation x^2 = 7x in standard form, subtract 7x from both sides and rearrange the terms in descending order of exponents.

Explanation:

The equation x^2 = 7x is a quadratic equation. To write it in standard form, we need to move all the terms to one side and set the equation equal to zero.

Subtracting 7x from both sides, we get x^2 - 7x = 0.

Next, we rearrange the terms in descending order of exponents: x^2 - 7x = 0.

Learn more about Quadratic equations here:

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there are_____in the listening process
There are
a. 6 steps
b. 5 steps
c. 3 steps
d. 10 steps
Please select the best answer from the choices provided

Answers

Answer:

5 steps.

Step-by-step explanation:

RecievingUnderstandingEvaluatingRememberingResponding

hope it helps!

They’re is 5 steps in the listening progress!

This is a little big easy

Answers

Answer:

B.) b+79

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

Answers

Answer:

What drawing???

Step-by-step explanation:

For a bookcase, Tim wants 6 shelves
each 28 1/2 inches long. What total length
of shelving does he need?

Answers

Answer:

171 inches

Step-by-step explanation:

6x28.5

Final answer:

The total length of shelving Tim needs for his bookcase is calculated by multiplying the number of shelves (6) by the length of each shelf (28 1/2 inches), which equals to 342 inches in total.

Explanation:

When understanding the total length of shelving needed, you can use the basic principle of multiplication in mathematics. In this particular question: bookcase shelving length, Tim wants to build a bookcase with 6 shelves and each shelf is 28 1/2 inches long. You would calculate the total length by simply multiplying the number of shelves by the length of each shelf.

So, 6 shelves * 28 1/2 inches = 57 * 6 = 342 inches. Hence, the total length of shelving Tim needs for his bookcase is 342 inches.

Learn more about Multiplication here:

https://brainly.com/question/35502092

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?/20 = 4/5
How do I make this equivalent

Answers

You have

[tex]\dfrac{x}{20}=\dfrac{4}{5}[/tex]

Multiply both sides by 20:

[tex]20\cdot\dfrac{x}{20}=\dfrac{4}{5}\cdot 20[/tex]

The equation becomes

[tex]x=16[/tex]

Hi

X/20 = 4/5 ⇒  X =   20*4 /5  =   5*4*4 /5 = 16/1 =16

16/20 = 4/5

A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.

Answers

This Question is not complete because it lacks the appropriate options

Complete question:

A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.

1. P(C | D) = 0.78

2. P(D | C) = 0.44

3. P(C ∩ D) = 0.11

4. P(C ∩ D) = P(D ∩ C)

5. P(C | D) = P(D | C)

Answer:

3. P(C ∩ D) = 0.11

4. P(C ∩ D) = P(D ∩ C)

Step-by-step explanation:

Clients that have Cats = P(C) = 25% = 0.25

Clients that have Dogs = P(D) = 32% = 0.32

The number of Clients that have Dogs and Cats = P(D ∩ C) = 11% = 0.11

Sets of data in mathematics are governed by laws which include Distributive law, Commutative law, Associative law, Identity law e.t.c.

The commutative law of sets states that :

A ∩ B = B ∩ A

A ∪ B = B ∪ A

Therefore, based on the commutative law of sets, Option 4 " P(C ∩ D) = P(D ∩ C) " is correct.

Since we are told in the question above that the number of Clients that have Dogs and Cats = P(D ∩ C) = 11% = 0.11 and based on the commutative law that says

P(C ∩ D) = P(D ∩ C)

Therefore, Option 3 " P(C ∩ D) = 0.11"

is correct as well.

Answer:

B, C, D on ed

Step-by-step explanation:

Which statement is correct about the system of linear equations graphed below? On a coordinate plane, a line with negative slope goes through (0, 3) and (4, 2). A line with positive slope goes through (0, negative 4) and (4, negative 2). The system of equations has one solution because the lines will eventually intersect. The system of equations has one solution because the lines will never intersect. The system of equations does not have one solution because the lines will eventually intersect. The system of equations does not have one solution because the lines will never intersect.

Answers

Answer:

the answer is A. The system of equations has one solution because the lines will eventually intersect

Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution

The system of equations has one solution because the lines will eventually intersect.

Which statement is true?

We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.

Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).

In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.

With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."

If you want to learn more about systems of equations:

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