what two numbers multiply to get -8 and add to get 4?

Answers

Answer 1

Answer:

 -2-2√3, -2+2√3

Step-by-step explanation:

Let x and y be two numbers.

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

 x(-4-x) = -8

 -4x -x^2 = -8 . . . . . eliminate parentheses

 x^2 +4x = 8 . . . . . . multiply by -1

 x^2 +4x +4 = 12 . . . add 4 to complete the square

 (x +2)^2 = 12

 x +2 = ±√12 = ±2√3

 x = -2±2√3


Related Questions

Identify the x-intercept and the y-intercept of the graphs.

Answers

Answer:

1st picture:

y-intercept = -2

x-intercept = 3

2nd picture:

y-intercept = 1

x-intercept = 2

Step-by-step explanation:

y-intercept: the point where the graph intersects the y-axis.

x-intercept: the point where the graph intersects the y-axis.

1st picture:

y-intercept = -2

x-intercept = 3

2nd picture:

y-intercept = 1

x-intercept = 2

Find the area - PLSS HELPP AND HURRY PLS

Answers

Answer:

40

Step-by-step explanation:

its just 4 x 10, move the triangle to the other side

unless its not a triangle lol

then i have no idea

It’s 40 because 4 x 10 is 40 and it’s width x height

In a school, 5/8 of the students are boys. If there are 240 girls, find the number of boys in the school.​

Answers

Answer:

400 boys

Step-by-step explanation:

First use the fraction along with the given information (240 girls)

If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80

80 multiplied by 5 = 400

There are 400 boys in the school. (640 total students in school)

Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8

Hope this helps :)

Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)

Answers

Answer:

[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Step-by-step explanation:

[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]

[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]

[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]

[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]

[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]

[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]

[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.

Answers

Answer:

x=2.87083

Step-by-step explanation:

y = –2x^2 + 4x +5

ax^2 + bx + c = 0

a= -2

b= 4

c= 5

Quadratic formula: x= -b±√b^2-4ac over 2a

1. plug in the numbers

2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)

3. x= -4 ± √16+40 over -4

4. x= -4 ± √56 over -4

next simplify ratidal

x= -4 ± √2·2·2·7 over -4

x= -4 ± 2√2·7 over -4

x= -4 ± 2√14 over -4

divide both sives over four

x= -4 over -4 ± 2√14 over -4

x= -1 over -1 ± √14 over -2  

answer:

x=2.87083

                                         

what is the perimeter ?

Answers

Answer:

53

Step-by-step explanation:

You get the perimeter by adding up all of the sides. I added them up and got 53

I need help with this

Answers

Answer:

Class 1.

Step-by-step explanation:

Class 1 has the greater interquartile range.

Answer:

Class #2

Step-by-step explanation:

IQR of Class #1:

85 - 72 = 13

IQR of Class #2:

90 - 70 = 20

Class #2 has a greater IQR!

Hope this helps!

If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).

Answers

What we know:      

[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]                

(Also, [tex]3^2=9[/tex])

What we need to solve:

[tex](f-g)(x)[/tex]             (This is equal to [tex]f(x)-g(x)[/tex])

How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:

[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]

Thus, the answer would be:

[tex]12x+5[/tex]

Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.

P(even or less than 4)

Answers

Answer:

total 6

even 2, 4, 6

even or less than 4: 2, 4

p = 2/6 = 1/3

brainliest?

You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?

Answers

Answer:

$79333

Step-by-step explanation:

[tex]salary:x[/tex]

[tex]12\%x=8500[/tex]

[tex]x=8500\div 12\%[/tex]

[tex]x=70833[/tex]

[tex]70833+8500=\$79333[/tex]

I hope this helps you

:)

A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Please help me

Answers

Answer:

230=8X+27.75X

230=35.75X

x = 6 Rounded down

8*6=48

27.75*6=166.5

48+166.5=214.5

Amount of frindes can go is 6

Step-by-step explanation:

pleessss helpppp for brainlyyyyy

Answers

$37.51 - the third option above

Step-by-step explanation:

A

1600 x 1.053^3= 1868.12

B

1600x1.06^3 =1905.63

Difference

1905.63-1868.12= 37.51

$37.51

Hope this helps!

The graph of a function is shown:



which of the following correctly identifies the set of outputs?

a: {(5,-2), (1,-1), (-2,2), (2,5)}

b: {(-2,5), (-1,1), (2,-2), (5,2)}

c: {-2, -1, 2, 5}

d: {-2, 1, 2, 5}

Answers

Answer:

B.

Step-by-step explanation:

Use (X, Y)

X being the horizontal line

Y being the vertical line

The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?

Answers

Answer:

60

Step-by-step explanation:

bceuase i got it right just multiply

How many turning points are in the graph of the polynomial function?


2 turning points
3 turning points
4 turning points
5 turning points

Answers

[tex] \mathbb\red{4\:turning\:points} [/tex]

In the figure below, xZ=25 and YZ=17. Find xY.
xY=

Answers

Answer:

XY = 8

Step-by-step explanation:

XY + YZ = XZ , that is

XY + 17 = 25 ( subtract 17 from both sides )

XY = 8

What is the area of this figure?

Answers

The are of the figure is 119 cm^2

Answer:

  119 cm²

Step-by-step explanation:

The area of a composite shape can be found by dividing it into shapes whose area formulas you know.

__

Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...

  2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²

  10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²

  5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²

Then the total area is ...

  (34 +70 +15) cm² = 119 cm²

An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.​

Answers

Answer:

53.89%

Step-by-step explanation:

total no. obtainable = 80 + 100 = 180

total scores acquired = 22 + 75 = 97

percentage = (total acquired/total possible) × 100

= (97/180) × 100

= 53.89 %

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?


Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.

3 pi inches

6 pi inches

12 pi inches

24 pi inches

Answers

Answer:

6 pi inches

Step-by-step explanation:

Entire minute is one entire circle

  circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches

from 6 to 12 position is half of a cirlce , so 6 pi inches

Answer:

6 pi inches

Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW

have a nice day/night

-<-   :)

A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere ​

Answers

Answer:

Radius of sphere is 21 cm

Step-by-step explanation:

Given:

A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.

To Find:

Radius of the sphere

Solution:

Volume of sphere = Volume of cubiod

↠ 4/3 πr³ = LBH

↠ 4/3 × 22/7 × r³ = 49 × 33 × 24

↠ 4/3 × 22/7 × r³ = 38808

↠ 4 × 22/7 × r³ = 38808/3

↠ r³ = 38808 × 3 × 7/4 × 22

↠ r³ = 441 × 21

↠ r³ = 9261

↠ r = 21 cm

Hence,

Radius of sphere is 21 cm

Answer:

21.00 cm to the nearest hundredth.

Step-by-step explanation:

The volume of the sphere will  be equal to the volume of the cuboid.

So 4/3 π r^3 =  49*33*24     where r = radius of the sphere.

r^3 = (49*33*24 ) / 4/3 π

r^3 = 38808 / 4.18879

      =  9264.728

r = ∛9264.728

  = 21.0028  cm.

The circumference of a circle is 31.4 metres. What is the circle's diameter?

Answers

Answer:

9.99m

Step-by-step explanation:

d≈9.99m

C Circumference

31.4m

Using the formulas

C=2πr

d=2r

Solving ford

d=C

π=31.4

π≈9.99493m

Solve for x in the equation x squared minus 12 x 36 = 90.

Answers

Answer:

x = ±3√58

Step-by-step explanation:

Given

x² - (12 x 36) = 90

Solving

x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58

Answer:

[tex]x =[/tex] ± [tex]22.85[/tex]

Step-by-step explanation:

Step 1:  Multiply 12 * 36

[tex]x^2 - (12 * 36) = 90[/tex]

[tex]x^2 - 432 = 90[/tex]

Step 2:  Add 432 to both sides

[tex]x^2 - 432 + 432 = 90 + 432[/tex]

[tex]x^2 = 522[/tex]

Step 3:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{522}[/tex]

[tex]x =[/tex] ± [tex]22.85[/tex]

Answer: [tex]x =[/tex] ± [tex]22.85[/tex]

Generate an equivalent expression for 24x+18y by factoring out the GCF

Answers

The GCF of 24x and 18y is their greatest common factor

The equivalent expression of 24x + 18y is 6(4x + 3y)

How to determine the equivalent expression?

The expression is given as:

24x + 18y

Express each term as the product of 6

24x + 18y = 6 * 4x + 6 * 3y

Factor out 6 from the expression

24x + 18y = 6 (4x + 3y)

Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

if sin(32)=x , then sin(4) cos(4) cos(8) cos(16)=..............
Solve using double angle trigonometric functions​

Answers

If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.

How to simplify an expression by trigonometric expressions

Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.

In this question we must simplify a given expression by using the following trigonometric formula:

sin 2x = 2 · cos x · cos x   (1)

Now we proceed to expand the expression given:

x = sin 32

x = 2 · sin 16 · cos 16

x = 4 · sin 8 · cos 8 · cos 16

x = 8 · sin 4 · cos 4 · cos 8 · cos 16

Thus,

sin 4 · cos 4 · cos 8 · cos 16 = x/8

If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]

To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750

The graph of g(x)=(x-12)^2 is the graph of f(x)=x^2 translated ____ units

Answers

[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]

Help me please. I really neeed it

Answers

Answer: You need to put the same shape as it shows there on the top.

Step-by-step explanation: I hope this helped you.

Find the area - HURRY PLS

Answers

Answer:

799.04

Step-by-step explanation:

if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04

Use substitution to solve the system.

2y-13=x

-4x+5y=40


X=
Y=

Answers

y=4

x=-5

Step-by-step explanation:

-4(2y-13) + 5y = 40

-8y + 52 + 5y = 40

-3y + 52 = 40

-3y = -12

y=4

x=-5

65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these​

Answers

Answer:

e) none of these​

Explanation:

65% * 320 + ? = 686

208 + ? = 686

? = 686 - 208

? = 478

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.

Answers

Answer:

Below in bold.

Step-by-step explanation:

By proportion she can make 3 1/3 * 1 / 2 1/2 truffles

= 10/3 * 1 / 5/2

= 10/3 * 2/5

= 20 / 15

= 1 1/3 dozen truffles from 1 pound chocolate.

1 1/3 dozen  truffles is made from 1 pound

4/3  . . ..   ..     ..    ..   ..   ..         1  pound

1     . . ..   ..     ..    ..   ..   ..          3/4    ..

5     . . ..   ..     ..    ..   ..   ..         3/4  * 5  =  15/4 pound of chocalote=

3 3/4 pounds chocolate.

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