solve the equation: q²+2q-8=0​

Answers

Answer 1

Answer:

q = -4   q=2

Step-by-step explanation:

q²+2q-8=0​

Factor

What 2 numbers multiply to -8 and add to 2

4*-2 = -8

4-2 = 2

(q+4)(q-2) =0

Using the zero product property

q+4 = 0  q-2 =0

q = -4   q=2


Related Questions

“Use the equation 2p-7=25 to find the weight of your uncles backpack”

Answers

Answer:

the equation is 2p-7=25 // p = 16

Answer:

Your uncle's backpack weighs 16 pounds.

Step-by-step explanation:

1.) Add 7 to each side

2p=32

2.) Divide each side by 2

p = 16

3.) That is your answer.

find the value of trigonometric ratio​

Answers

Answer:

3/5

Step-by-step explanation:

Cos C = adjacent/hypotenuse

or, Cos C = 21/35 = 3/4

Answered by GAUTHMATH

The graph shows the function f(x) = 2*
What is the value of x when f(x) = 8?
Ay
10-
A. 3
B. 2
C. 0
D. 1

Answers

Answer:

A

Step-by-step explanation:

Equate f(x) to 8 , that is

[tex]2^{x}[/tex] = 8 = 2³

Since bases on both sides are equal, both 2, then equate exponents

x = 3

The value of the x when the exponential function shown in the graph f(x) = 2ˣ is 8 is when x = 3, which is option A.

Here, given the graph of the function,

f(x) = 2ˣ

We have to find the value of x when f(x) = 8.

In order to find the value of x, when f(x) = 8, we have to write as,

f(x) = 8

2ˣ = 8

Now write 8 as an exponent with base 2.

2ˣ = 2³

Hence the value of x = 3

Learn more about Exponential Functions here :

https://brainly.com/question/9919887

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The diameter of a circle is 12 m. Find its area in terms of pi

Answers

Answer:

36 pi m^2

Step-by-step explanation:

The diameter of a circle is 12

The radius is 1/2 of the diameter, d/2 = 12/2 = 6

The area of a circle is given by

A = pi r^2

A = pi (6)^2

A = 36 pi m^2

A recipe for 4 servings requires salt and pepper to be added in the ratio of 2:3. If the recipe is adjusted from 4 to 8 servings, what is the ratio of salt and pepper that must now be added

Answers

Answer:

Is this a trick question ???

Why would the ratio of salt to pepper change if you doubled the recipe?

The amount of salt and pepper would double, but not the ratio...

the answer should be 2:3

Step-by-step explanation:

4:6 because for 4 servings it requires 2:3 so 8 servings is twice the 4 which increases the 2:3 ratio for 4 servings to 4:6 salt & pepper that needs to be added for 8 servings

I really need help again.

Answers

Answer:

Y =  -1/2X +4

Step-by-step explanation:

x1 y1  x2 y2

2 3  0 4

   

(Y2-Y1) (4)-(3)=   1  ΔY 1

(X2-X1) (0)-(2)=    -2  ΔX -2

   

slope= -  1/2    

B= 4          

   

Y =-0.5X +4    

Find the product using suitable rearrangement 1879*5*20 please tell this​

Answers

Answer:

187900

Step-by-step explanation:

Calculate in steps:

5*20 = 1001879*100 = 187900

Answer:

Step-by-step explanation:

1879 *  5* 20 = 1879 * (5* 20)

                     = 1879 * 100

                      = 187900

Explain why having three congruent angles in two triangles is not a good way to prove two
triangles are congruent. Come up with a counter example, you can describe or draw it.

Answers

Draw an equilateral triangle with side lengths of 1. Each angle here is 60 degrees, which is true of any equilateral triangle.

Now draw another equilateral triangle that has side lengths of 2 units. Clearly this triangle is not the same size as the previous one, but the angles are all still 60 degrees.

We have an example in which there are 2 triangles with the same angles, but the triangles are not congruent. Therefore, having info about congruent angles only isn't sufficient to prove triangles to be congruent.

Which of the following is equal to the fraction (4/5)^6 A. 6•(4/5)
В.4^6/5^6
С. 4^6/5
D. 24/30

Answers

Answer:

b

Step-by-step explanation:

when raising a fraction to a power both the numerator and denominator has to be raised to that power

I'LL GIVE BRAINLIEST ! ! ! ! ! !

The parabola x=√y-9 opens:
a. left
b. right
c. down
d. up

Answers

Answer:

UP

Step-by-step explanation:

x+9 = [tex]\sqrt{y}[/tex]

y = [tex]x^{2}[/tex] +18x + 81

Answer:

Up

Step-by-step explanation:

lol im giving a second answer so the other person can get brainliest :)

Please answer:
Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need?

Answers

The cake has a cylindrical format, and the outside of the cake will be frosted, which means that the total surface area has to be found, and doing this, we find that she will need 298.5 square inches of frosting.

Surface area of a cylinder:  

The surface area of a cylinder of radius r and height h is given by:

[tex]S = 2\pi r^2 + 2\pi rh[/tex]

The cake is 10 inches in  diameter and 4.5 inches tall.

Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex].

The height is [tex]h = 4.5[/tex].

How many square inches of frosting  will she need?

This is the surface area, so:

[tex]S = 2\pi(5)^2 + 2\pi(5)(4.5) = 50\pi + 45\pi = 95\pi = 298.5[/tex]

She will need 298.5 square inches of frosting.

A similar problem can be found at https://brainly.com/question/24332238

Answer:

Step-by-step explanation:

First of all, we need the formula of a cylinder which is: 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

BUT also remember we are solving for one base since we do not count the bottom of the tray. That formula would look like this: 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex] since we are using 1 base instead of 2.

Now input the missing values into the formula and solve:

2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]

2[tex]\pi[/tex](5)(4.5) + [tex]\pi[/tex][tex](5^{2})[/tex]

45[tex]\pi[/tex] + 25[tex]\pi[/tex] = 70[tex]\pi[/tex]

Our Answer is 70[tex]\pi[/tex], or 219.91 [tex]in^{2}[/tex]

A recipe for eight flapjacks needs 2oz of butter, 3oz of sugar, and 4 oz of rolled oats. How many flapjacks can I make if I have 14 oz of butter, 15 oz of sugar, and 16 oz of rolled oats?

Answers

Answer:

Step-by-step explanation:

Eight flapjacks

2oz of butter

3oz of sugar

4 oz of rolled oats.

Each flapjack

Butter = 2/8 = 1/4 oz

Sugar = 3/8 oz

Rolled oats = 4/8 = 1/2 oz

How many flapjacks can I make if I have

14 oz of butter,

15 oz of sugar, and

16 oz of rolled oats?

Butter

= 14 oz ÷ 1/8 oz

= 14 × 8/1

= 112 flapjack

Sugar

= 15 oz ÷ 3/8 oz

= 15 × 8/3

= 120/3

= 40 flapjacks

Rolled oats

16 oz ÷ 1/2 oz

= 16 × 2/1

= 32 flapjack

Therefore,

Considering the quantity of rolled oats available, the number of flapjacks that could be made is 32

what is the algebraic nature of the function f(x)= x2 -6X+5

Answers

Answer:

Step-by-step explanation:

It is a positive, or upwards-opening, quadratic; this implies it is parabolic in shape. It has 2 real zeros of x = 5 and x = 1, a y-intercept of (0, 5), and a vertex located at (3, -4). Not sure what else you can possibly need to know about this parabola.

Help plz and thanks

Answers

Answer:

6b

Step-by-step explanation:

Rectangle ABCD is similar to rectangle JKLM. AB = 12, BC = 8, CD = 12, DA = 8, and JK = 15. What is the scale factor from JKLM to ABCD? Reduce all answers.

Answers

Answer:

4/5 or 0.8

Step-by-step explanation:

this problem description is not very precise. it leaves out the definition what corners or sides of JKLM correspond to corners and sides of ABCD.

I assume J and K correlate to A and B, and JK is a long side of JKLM.

so, we are going from JKLM to ABCD.

that means we are going from larger to smaller (as JK = 15 and therefore larger than AB = 12).

what is the scale factor to go from 15 to 12 ?

15 × x = 12

x = 12/15 = 4/5 or 0.8

HELP ME ASAP!!!
two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles?

Answers

Step-by-step explanation:

Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles

x + y = 180

x = 3y - 4

3y - 4 + y = 180

4y = 184

y = 46

x = 134

Answer:

30°,150°

Step-by-step explanation:

The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?

Answers

Answer:

0.305

Step-by-step explanation:

We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950

Thus, to get the area to the left, we just subtract 0.6950 from 1.

Thus;

area to the left of z = 0.51 is;

P( z < 0.51) = 1 - 0.6950 = 0.305

The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?

Answers

Hope it’s helps
You can text me if you don’t understand anything

Determine the equation of a perpendicular line to x=-2

Answers

Answer:

+1/2

Step-by-step explanation:

its the negative reciprocal

Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution?

Answers

Answer:

B. on edge 2021

Step-by-step explanation:

y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4

Answer:

It's B :))

Step-by-step explanation:

find the value of the trigonometric ratio​

Answers

The answer is 12/5 or 2.4

tan c =opposite÷ adjacent

tan c =36÷15

tan c = 12÷5

can you guys please help me



Answers

Answer:

x^2 - 9

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

x^2 - 4

Step-by-step explanation:

x+3        x-3

------ * -----------

x+2       x-2

Notice that the numerator is the difference of squares and the denominator is the difference of squares

(a+b)(a-b) = a^2 - b^2

(x^2 - 3^2)

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

x^2 - 2^2

x^2 - 9

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

x^2 - 4

Answer:

A...

the parts of theis problem are "special factors" or conjugates

(a+b) (a-b) = a^2 - b^2

you have two of those (x+3)(x-3) = x^2-9

and (x+2)(x-2) = x^2 -4

Step-by-step explanation:

the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?

wt = ____

Answers

Answer:

w = 15 (4^t)

Step-by-step explanation:

Let w be what the function is equal to

Let t be the input variable

equation :

w = k a^t

Plug in any two of the points to solve for k and a

for example, let's take (1, 60) and (2, 240):

60 = k * a^1

k = 60 / a

240 = k a^2

Substituting:

240 = 60/a (a^2)

a = 4

k = 15

The function is

w = 15 (4^t)

find the missing length for the following trapezoid​

Answers

Answer:

KL = 18

Step-by-step explanation:

The midsegment TU is half the sum of the parallel bases , that is

[tex]\frac{KL+JM}{2}[/tex] = TU

[tex]\frac{KL+34}{2}[/tex] = 26 ( multiply both sides by 2 )

KL + 34 = 52 ( subtract 34 from both sides )

KL = 18

solve using identities​

Answers

Answer:

Solution given

Cos[tex]\displaystyle \theta_{1}=\frac{13}{15}[/tex]

consider Pythagorean theorem

[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]

Subtracting [tex]Cos²\theta[/tex]both side

[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]

doing square root on both side we get

[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]

Similarly

[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]

Substituting value of [tex]Cos\theta_{1}[/tex]

we get

[tex]Sin\theta_{1}=\sqrt{1-(\frac{-13}{15})²}[/tex]

Solving numerical

[tex]Sin\theta_{1}=\sqrt{1-(\frac{169}{225})}[/tex]

[tex]Sin\theta_{1}=\sqrt{\frac{56}{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{56}}{\sqrt{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{2*2*14}}{\sqrt{15*15}}[/tex]

[tex]Sin\theta_{1}=\frac{2\sqrt{14}}{15}[/tex]

Since

In III quadrant sin angle is negative

[tex]\bold{Sin\theta_{1}=-\frac{2\sqrt{14}}{15}}[/tex]

Answer:

- 2√14/15

Step-by-step explanation:

In the quadrant III both the sine and cosine get negative value.

Use the identity:

sin²θ + cos²θ = 1

And consider negative value as mentioned above:

sinθ = - √(1 - cos²θ) sinθ = - √(1 - (-13/15)²) sinθ = - √(1 - 169/225)sinθ = - √(56/225)sinθ = - 2√14/15

Please help!

Will mark brainliest!!

Answers

Answer:

Let m = Number of months

Company A: 60+ 42.95 m

Company B: 25+49.95 m

60+ 42.95 m= 25+49.95 m

Subtract 42.95 from both sides

60 = 25 + 7m

Subtract 25 from both sides

35= 7m

Divide both sides by 7

m = 5

OAmalOHopeO

the legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous

Answers

Answer:

11.31 units

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.

[tex]\sqrt{128\\} \\\\[/tex] = c

c = 11.31 units


Abby made the following conjecture: The sum of a multiple of 7 and a multiple of 8 will be an
odd number. Do you agree or disagree? Briefly justify your decision with a counterexample if
possible.

Answers

Answer:

Disagree. As long as the odd number (7) is multiplied by an even number, the sum of multiples of an odd and even number in general will add to be even.

Step-by-step explanation:

Assume you have a=7 and b=8.

Now there are 4 combinations since there are only two types of numbers: even and odd.

Combination 1 would consist of an ODD amount of multiples of a, and and ODD amount of multiples of b.

     See:  3a + 3b

              3(7) + 3(8) = 45

*Combination 2 would be an EVEN amount of a and an EVEN amount of b.

         2a + 2b

         14 + 16 = 30

HERE, in combination 2, the claim is already debunked.

Combination 3 is an ODD amount of a and an EVEN amount of b

         1a + 2b

        7 + 16 = 21

*Combination 4 is an EVEN amount of a and an ODD amount of b

         2a + 1b

         14 + 8 = 24

HERE, in combination 4, the claim is justified again

Pleassse help with this

Answers

The answer is 1 unit, your answer was correct btw :3

The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.

Answers

Answer:

its c 120in

Step-by-step explanation:

The perimeter of the triangle is,

⇒ 138 in.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The hypotenuse of a right triangle is 52 in.

And, One leg of the triangle is 8 in. more than twice the length of the other.

Hence, We get;

Lengths of legs are,

⇒ x

And, ⇒ 8 + 2x

Hence, We can formulate;

⇒ 52² = x² + (2x + 8)²

⇒ 2704 = x² + 4x² + 64 + 24x

⇒ 5x² + 24x - 2640 = 0

⇒ x = 20 and x = - 132/5

For perimeter;

Take x = 20

Hence, The perimeter of the triangle is,

⇒ 52 + x + (2x + 8)

⇒ 52 + 20 + (2 × 20 + 8)

⇒ 52 + 20 + 48

⇒ 138 in.

Thus, The perimeter of the triangle is,

⇒ 138 in.

Learn more about the triangle visit;

brainly.com/question/1058720

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