Solve the inequality and express your answer in interval notation
x^2+8x-7<0

Answers

Answer 1

Answer:

(-8.8, 0.8)

Step-by-step explanation:

x^2+8x-7<0x^2 + 8x + 16 - 23 < 0(x + 4)^2 < 23|x + 4| < √23 ≈ 4.8

1 .

x + 4 < 4.8x < 0.8

2.

-(x + 4) < 4.8x + 4 > - 4.8x > - 8.8

Combination of the two intervals:

x = (-8.8, 0.8)


Related Questions

Find the equation of the line shown.

Answers

Answer:

4y + x = 8

Step-by-step explanation:

firstly, we choose any 2 points on the line

point 1 = (0,2)

point 2 = (4,1)

x1 = 0, x2 = 4

y1 = 2, y2 = 1

from,

[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]

[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]

[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]

Cross multiplying,

-1(x) = 4(y - 2)

-x = 4y - 8

4y + x = 8

You have point D (4, 2) that is rotated 180 degrees about the origin, what are the coordinates of D'? Type answer as an ordered pair: (x, y)

Answers

Answer:

-4,-2 I think

Step-by-step explanation:

Find the value of x. Then find the angle measures of the triangle.
3x°
40°
Sum of angle
measures: 180°

Answers

3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4

x = 35

Answer:

x=35°

3x= 105°

Step-by-step explanation:

[tex]40 + 3x + x = 180[/tex]

[tex]40 + 4x = 180[/tex]

[tex]4x = 180 - 40[/tex]

[tex]4x = 140[/tex]

[tex]x = \frac{140}{4} [/tex]

[tex]x = 35[/tex]

[tex]3x = 3(35) \\ 105[/tex]

The milligrams of aspirin in a person's body is given by the equation a=500(3/4) ^t, where t is the number of hours since the patient took the medicine. How much aspirin will be in the patient's body after two hours?

Answers

2/3 ^t will be left in the pt body

The amount of aspirin that will be present in the patient's body after two hours is 281.25 milligrams.

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, we have:

Amount of aspirin in a person's body (in milligrams) after t hours of taking the medicine is:

[tex]a = 500\times(\dfrac{3}{4})^t[/tex] (in milligrams)

For t = 2 hours, we get:

[tex]a = 500\times(\dfrac{3}{4})^2 = 281.25 \: \rm milligrams[/tex]

Thus, the amount of aspirin that will be present in the patient's body after two hours is 281.25 milligrams.

Learn more about evaluating a function at a value  here:

https://brainly.com/question/2753269

The product of 4 and t is add to1

Answers

Answer:

17 cause 4×4 16 plus 1 is 17

Step-by-step explanation:

Branliest plz

Answer:

3=t

Step-by-step explanation:

4+t=1  Is that what your asking the equation?

4+t=1

-t  -t

________

4=1-t

-1   -1

_________

3=t

Hope this helps :D

I'm not good at this stuff at all..giving brainliest if correct

Answers

Answer:

B

Step-by-step explanation:

bcs if question says "How many fruits are in the basket?" it does not say how many oranges there are.

Hope this helps if it did pls mark me brainliest.

The answer would be 35 I’m pretty sure

What is the sum of:
5 (-15) =

Answers

Answer:

20 i think:))))))))))))

George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish?

Answers

Answer:

George has a seafood addiction

Step-by-step explanation:

What is the area of the base of the cone below? Round the number to the nearest tenth if necessary.

A. 14.7 in (2)

B. 17.3 in (2)

C. 18.5 in (2)

D.19.5 in(2)

Answers

Answer:

19.5

Step-by-step explanation:

Can the intersection of a plane and a line segment be a ray ?

Answers

Answer:

No, it can not. I searched Brainly and people have asked this question before which always ended in the same answer, no.

Step-by-step explanation:

7 divided by what is 56? answer ASAP, please

Answers

Answer:

0.125

Step-by-step explanation:

Stay safe and please mark brainliest!  :)

Answer:

1/8

Step-by-step explanation:

7/x = 56

Multiply both sides by x.

7 = 56x

Divide both sides by 56.

7/56 = x

1/8 = x

x = 1/8

3(x+5)=15
A.3
B.0
C.1/3

Answers

Answer:

x=0

Step-by-step explanation:

letter B

Answer:

B

Step-by-step explanation:

Take the three outaide the parentheses and distribute to both terms inside the parentheses. You would then get 3x+15= 15

subtract 15 from the left and right.

3x=0

Which means that x=0/3

So x=0

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer: 2 over 3

Step-by-step explanation:

1101101+11011 in binary numbers please help

Answers

Answer:

The answer is 1000 1000

Step-by-step explanation:

In HEX, it would be 88.

In DEC, it would be 136.

In Oct, it would be 210.

Binary, how to add numbers together.

     1101101

+       11011

10001000

This is just like adding regular numbers together.

For example, when you add 88 to 55, this is what will happen

   1(r)

  88

+ 55

13(+1)  3

143

With binary, when 1 and 0 are added together, the result is 1. When 1 and 1 are added together, the result is 1 and 0 (1 being the "remainder", or the number that is carried over. This number is then added to the next part of the number when adding, just like in normal addition.

how do you find the hypotenuse

Answers

Given two right triangle legs
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:
c = √(a² + b²)

Is √16/49 rational ?

Answers

Answer:

no it is not rational

Answer:

It is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Use the percent proportion.

1. What number is 120% of 60?

A 20

B 72

C 7.2

D 2

Answers

Answer:

72

Step-by-step explanation:

use a percentage calculator! Hope this helped! <3

how coordinates change when we add or subtract outside the function?​

Answers

Answer:

if c is positive, the graph is shifted up. If c is negative, the graph is shifted down. Informally: Adding a positive number after the x outside the parentheses shifts the graph up, adding a negative (or subtracting) shifts the graph down.

Step-by-step explanation:

hope this helps

PLEASE HELP WILL GIVE BRAINLIEST. IM AN EXPERT AND THSI IS STILL HARD. 18+20.

Answers

Answer:

38

Step-by-step explanation:

Find the value of x that makes m ∥ n.

Answers

X is 60 degree :) . Brainliest pls

Answer:

x=60

Step-by-step explanation:

X+2x=180degree because it is co interior angle

3x=180

X=180/3

X=60.

Verification

X+2x=180

60+2(60)=180

60+120=180

find the next numbers 5, 1, 7, 0, 9, -1, 11...

Answers

Answer:

7,13,6

Step-by-step explanation:

you must take the number minus 4 then add 6 minus 7 then add 9, minus 10 then add 12.

What is 4,567 grams, in kilograms? (1 kg= 1,000 grams.)

Answers

Answer:

4.567

Step-by-step explanation:

you have to divide to get the answer.

5(2x-4) help I have no idea

Answers

Answer:

5.2x - 5.4

10x - 20

PLEASE HELPP WITH THIS QUESTION

Answers

Well I just learned about this so I think it’s Paulo!
Hope this helps
P.s, no explanation because I am bad at explaining these :)

Marc enjoys running. The graph shows how far Marc ran over time. Use equivalent ratios to find how far Marc ran in 7 minutes. (You need a label with your answer to get full credit. *

Answers

Answer:

420

Step-by-step explanation:

The graph bellow shows that 60 per minute is the distance that marc ran

so i would have to multiply

60 by 7 which equals 420

Hope this helps

Find the slope of the line that passes through the points (-6,-4) and (2,4)
A. slope= 1
B. slope= -1
C. slope= 4
D. slope= -4

Answers

Answer:

The slope is 1. A.

Step-by-step explanation:

How do I find the x in this special triangle?

Answers

Answer:

x=5

Step-by-step explanation:

a^2+b^2=c^2

a=4

b=3

c=x

4^2+3^3=x^2

16+9=x^2

25=x^2

5=x

The equation P = 2m + 15 represents the price P (in dollars) of a bracelet, where m is the cost of the materials (in dollars). The price of a bracelet is $115. What is the cost of the materials? Explain your reasoning.​

Answers

Answer:

50

Step-by-step explanation:

115 = p

115 = 2m + 15  

-15          -15

100 = 2m

/2      /2

50 = m

If you take away like I did in this method it will get you answer (backwards PEMDAS)

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

Answers

Are u solving for x? And is the “x2” x to the power of 2 or is it 2x
x = 3 or x = 4

Given
x² + 12 = 7x ( subtract 7x from both sides )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero ( zero product property ) and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4

What is unit squared used for in Geometry?

Answers

Answer:

area

Step-by-step explanation:

Other Questions
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Some ideas are: Martin Luther Kings speech The sinking Titanic Neil Armstrong on the moon The Boston Tea Party There are hundreds of moments in history to choose frompick one that you feel comfortable re-creating and that speaks to you! Use paint or pencils to create a history art piece of your chosen moment in history. When you feel that you have completed your history art piece to your best ability and captured the moment well, fold your work into thirds. If you chose to use paint, make sure that your painting is fully dry before doing so. Take your second sheet of paper and fold it into thirds as well. You will be using each section to re-create the exact picture that you just made but showing three sections in three different genres. Section one will be pointillism. Remember pointillism uses lots of tiny dots to create a whole picture. Look at the first third of your original painting. Recreate this section using pointillism on the first third of your blank paper. Section two will use geometric art. Try to recreate the middle section of your original painting in the middle of your second sheet but use only geometric shapes and figures to express it. Section three will use abstract art. Recreate the last section of your original work in the last section of your second sheet of paper but try using the idea of abstract art when re-creating it. Refer to the example below if you are confused. Original History Art piece: simply paint or draw your moment in time and then fold your paper into sections like below when you are finished. Section 1 Section 2 Section 3 Recreated History Art: Fold your second sheet of paper into 3 sections and recreate each section according to the different genres. Pointillism: Recreate section 1 from your original piece here using Pointillism. Geometric Art: Recreate section 2 from your original piece here using Geometric Art. Abstract Art: Recreate section 3 from your original piece here using Abstract Art. Summary + Reflection: Write a short summary describing how you felt about this activity. Some things to include in your reflection and summary: Was it difficult? Easy? Which genre did you enjoy working with the most? Is there a genre you would have preferred to work with over the ones required for this activity? Your grade will be based on your efforts to work in the specific genres and your reflection. For more details on the grading process, refer to the rubric below. A ___ is a settlement ruled by a distant country.- Clan- Colony- Village- Tribe A problem arose in the city of Garrison when a new apartment complex was built on the side of the main highway. 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