Solve using the quadratic formula 1

Solve Using The Quadratic Formula 1

Answers

Answer 1

Answer:

Step-by-step explanation:

Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved.  I will assume that the problem is actually x^2 + 8x + 15 = 0.

The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4.  Because the discriminant is positive, we know that there are two real, unequal roots.

Continuing with the quadratic formula and knowing that the discriminant is 4, we get:

      -8 ± √4           -8 ± 2

x = ---------------- = --------------- , or x = -2 ± 1:  x = -3 and x = -5

          2                       2


Related Questions

Find values for p and q so that the equation has infinitely many solutions.
px - 2 = 4x + x + 9
p =

Answers

Px-2= 4x+x+9

First what you should do is subtract the 2 on both sides

You’ll get px = 4x+x+7 then add the x to 4x

Px= 4x^2 +7

Dived the x on the left on both sides like this px/x = 4x^2+7/x

P= 4x+7

A sofa regularly sells for $840. The sales price is$714. Find the percent decrease of the sale price from the regular price

Answers

Answer:

15%

Step-by-step explanation:

What’s 1 + 1?
A. 0
B. 0
C. 0
D. 2

Answers

Answer:

its D

Step-by-step explanation:

[tex]1 + 1 = 2 \\ [/tex]

what is the range of these areas 595, 675, 720, 910, 1145, 1260

Answers

Answer:

665

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

The Range is 655

Find the greatest common factor of these three expressions.
20w, 8w, and 28w?

Answers

Answer:

4w.

Step-by-step explanation:

HELP HEP HELP LAST ONE OMG

Answers

can you take another photo the top part is a bit cut off

2.State whether ABC and LAED are congruent. Justify your answer.

D a. yes, by either SSS or SAS

b. yes, by SSS only

c. yes, by SAS only

d. No; there is not enough information to conclude that the triangles are congruent​

Answers

The Answer is c Yes, by SAS only

Yes, Triangles ABC and AED are congruent by SSS or SAS.

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 triangles is shown in image.

Now,

Here, In triangles ABC and AED;

⇒ AB = AE = 7

⇒ BC = DE

⇒ AC = AD

⇒ ∠BAC = ∠DAE

Thus, The triangles ABC and AED are congruent by SSS and SAS.

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Is 4.5 - (-3.5)positive negative or zero

Answers

Answer:

Positive

Step-by-step explanation:

Two minus signs = +

- - = +

Replace the -- with +

4.5+3.5 = 8

2x + y = 1 in slope-intercept form. :) also how is your day going so far?

Answers

Answer:

y=-2x+1

Step-by-step explanation:

2x+y=1

y=-2x+1

nnd my day has been pr good :)

Answer:

y=-2x+1

Step-by-step explanation:

I hope this helps. I'm doing great.

Pls help :( (will get reported if link)

Answers

Answer:

Step-by-step explanation:

A rectangular goat pen has an area of 32 square meters and a perimeter of 24 meters. What are the dimensions of the pen?

Answers

Answer:

Breadth is 4 m and length is 8m

Step-by-step explanation:

Area of the rectangle = Length * breadth

Area of the rectangular goat pen= 32 square meters

Perimeter of the rectangular goat pen = 24 meters

Perimeter of the rectangle = 2(length + breadth)

          24= 2(l+b)

          12= length + breadth

         12- breadth = length ----------- equation A

Area = l*b

32= l*b

32= (12- b) *b

32= 12b- b²

b²-12b+32= 0------------------- equation B

Solving the quadratic equation by factorization

b²- 8b- 4b+32= 0

b(b-8) -4(b-8)= 0

(b-8) = 0

(b-4)= 0

b= 8 or b=4

As breadth is usually smaller than length then putting b= 4 in  equation A

gives

  12- breadth = length

12-4= length

length = 8

Hence breadth is 4 m and length is 8m

Zena saves $5 for every $30 she earns. Which of these describes the rate at which Zena saves?
A $1 saved for every $5 earned
B. $1 saved for every $6 earned
C. $6 saved for every $5 earned
D. $0.60 saved for every $10 earned

Answers

Answer:

I think it is c because yah

Need help need help need help need help

Answers

Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test

Please help I'll mark brainliest

Answers

Put your y-intercept at (0,1), and then place the points (3,2), (6,3), (9, 4), (-3,0), (-6,-1), and then (-9, -2).

Theo rolls a dice 306 times.

Work out an estimate for the number of times Theo rolls an even number

Answers

I believe it would equal to 51!

PLEASE HELP ME I WANT TO PASS THIS CLASS AND GRADUATE WILL GIVE BRAINLIEST

A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males.

Part A: Construct and interpret a 99% confidence interval for the difference in population proportions of females and males who have at LEAST one notation for inappropriate behavior. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)

Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)

Answers

lol the handwriting hurts

Answer:

other person!

Step-by-step explanation:

give the other person brainliest; hope you pass the class!

Someone Please help me

Answers

1) x1= -8 , x2=16
2) x= 11
3) 7/8 or 0.875

Emily bought 36 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought
Inches of fabric.

Answers

Answer:

36 yards = 1,296 inches.

property . Simplify the expression 2(5+r) using the distributive property.

Answers

Answer:

2x5 = 10

1xr = 2r

Ans : 10+2r

Step-by-step explanation:

[tex]\huge\boxed{Hi\:there!}[/tex]

We are asked to simplify the given expression using the Distributive Property.

All we have to do is multiply 2 times 5 and r:

2(5+r)

10+2r

[tex]\huge\boxed{Hope\:it\:helps!}[/tex]

[tex]\huge\bold{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Plzzzzzz help, tysm if you do

Answers

Answer:

I think it C

Step-by-step explanation:

Let's solve your equation step-by-step.

(k−4)2=9

Step 1: Simplify both sides of the equation.

k2−8k+16=9

Step 2: Subtract 9 from both sides.

k2−8k+16−9=9−9

k2−8k+7=0

Step 3: Factor left side of equation.

(k−1)(k−7)=0

Step 4: Set factors equal to 0.

k−1=0 or k−7=0

k=1 or k=7

Answer:

k=1 or k=7

Hope this helps! :)

Square both sides:

K -4 = sqrt(9)

With the answer being a square root rewrite with a postive and negative value:

K-4 = sqrt(9)

And

K-4 = -sqrt(9)

Simplify each:

K-4 = 3

And

K-4 = -3

Solving for k in each one you get answer

C. {1,7}

Select the correct answer.
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p below. The parameter b is an unknown positive base.

p(n)=1.7×b^n

Which statement is true about this situation?

A.
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
B.
If b = 1.02, the annual sales of smartphones will double in 2 years.
C.
If b = 1.45, the annual growth rate of the sales of smartphones is 145%.
D.
The average annual sales of smartphones increases by 1.7 million units every year.

Answers

Answer:

When the survey was initially conducted, the average sales of smartphones was 1.7 million units.

Step-by-step explanation:

The exponential equation is P ( n ) = 1.7 ( b )ⁿ , where n is the number of years and P ( n ) is the annual sales of smartphones and the initial sales of smartphones was 1.7 million units

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

P ( n ) = 1.7 ( b )ⁿ

where , n is the number of years

And , P ( n ) is the annual sales of smartphones

Now , the value of b is the exponential growth factor

At the initial year , the number of smartphones sold is when n = 0

So , when n = 0

P ( 0 ) = 1.7 ( b )⁰

P ( 0 ) = 1.7 million units

Hence , the number of smartphones sold in initial year is 1.7 million units

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Write the number in 2 equivalent forms as a fraction, decimal, or percent.
11
16

Answers

11.
Fraction - 11/100
Decimal - 0.11
Percent - 11%
16.
Fraction - 16/100
Decimal - 0.16
Percent - 16%

What's the surface area if the radius of a cylinder is 6 and the height is 10 in ?

Answers

Answer:

A≈603.19in²

Step-by-step explanation:

sorry if it's wrong

Answer:

603.19

Step-by-step explanation:


A $60 shirt is on sale for 30% off. How much is the shirt's sale price?

Answers

Answer:39?

Step-by-step explanation:

The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE

Answers

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

ill give brainliest

Length = 11

Width = 4

Height = 7

What is the vloume?

What is the surface area?​

Answers

Answer:

volume = 308 units^3

surface area = 298 units^2

Divide. (– 6t + t^3 – 4) ÷ (t + 2)
a. t^2-8t+12
b. -t^2+3t+2
c.t^2-2t-2
d. -6t^2+13t-30

Answers

Answer:

 t2 - 2t - 2 or C. - Hope it helps!

jared and zach worked all day saturday mowing lawns they earned a combined of $43 how much did each boy get

Answers

Answer:

$21.50

Step-by-step explanation:

The circumference of a circle is 18π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

Answer:

A = 81π

Step-by-step explanation:

if circumference is 18π then diameter is 18 and radius is 9

A = πr²

A = 9²π or 81π

What is the volume of a hemisphere with a diameter of 60.9 in, rounded to the
nearest tenth of a cubic inch?

Answers

78 I think because you have to see the other 2 numbers

The volume of the given hemisphere is 59131.7 inches³.

What is a hemisphere?

Hemisphere is the exact one-half of the sphere.

given, diameter of the hemisphere is = d = 60.9 inches

Therefore, radius = d/2 = 60.9/2 inches = 30.45 inches.

Hence, the volume = (2/3) × π × r³ =  (2/3) × π × (30.45)³ inches³ = 59131.7 inches³.

Learn more about the volume of the hemisphere here: https://brainly.com/question/23118911

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