8x² + 16x - 62 = -5, solve by completing the square. PLEASE HELP IVE BEEN STRUGGLING FOR HOURS

Answers

Answer 1

Answer:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130\\}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=[tex]\frac{-b(plus-minus)\sqrt{x} b^2-4ac}{2a}[/tex]

x=[tex]\frac{-(16)(plus-minus)\sqrt{(16)^2-4(8)(-57)} }{2(8)}[/tex]

x=[tex]\frac{-16(plus-minus) \sqrt{2080} }{16}[/tex]

ANSWER:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]


Related Questions

Simplify: 3•6 - 42 ÷ 2

Answers

Answer:

-3

Step-by-step explanation:

3 x 6 - 42/2 =

18 - 42/2 =

18 - 21 =

-3

Answer:

18-21=x

Step-by-step explanation:

18-21=x

x= -3(this is just extra)

If 12 oranges cost $4.80, what would be the cost for 5 oranges

Answers

Answer: 24

Step-by-step explanation:

Because if you do 4.80 times 5 you’ll get 24 because each orange cost $4.80

Answer:

the cost of 5 oranges would be $2.00

Step-by-step explanation:

To solve this we need to find the unit rate and when we do this we can solve this problem.  To find that we need to divide 4.80 by 12 once we do that we just have to multiply that number by 5 to get our answer, when you divide you'll get 0.4 and then multiply that by 5 and you'll get $2.00.

What is the answer of 14.8-4b-(17.1-3b)
the answer choices are:
A. 0.375
B. 3.75
C. 37.5
D. 375​

Answers

c is maybe the answer but i’m not sure

It costs $7.50 to enter a petting zoo. Each cup of food to feed the animals is $2.50. If you have $12.50, how many cups can you buy?

Answers

Answer:

2

steps

7.50+2.50=10.00

10.00+2.50=12.50

so you have 2 cups of food u can buy

convert the following to inches

3' 8"

Answers

Answer: 44 inches

Step-by-step explanation:

believe me plz mark me brainliest plz

Answer:

44 inches

Step-by-step explanation:

Which equation shows the relationship 30% of 140 is x?

Answers

Answer:

Step-by-step explanation:

[tex]equation: \frac{x}{140} = \frac{30}{100} \\reduced: 100x = 4200\\ solved: \frac{100x}{100} = \frac{4200}{100} \\x = 42[/tex]

An equation is formed of two equal expressions. The equation that shows the relationship 30% of 140 is x is x=0.30×140.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that 30% of 140 is equal to x. Therefore, we can write,

[tex]\text{30\% of 140} = x\\\\\dfrac{30}{100} \times 140 = x\\\\x = 0.30 \times 140\\\\x=42[/tex]

Hence, the equation that shows the relationship 30% of 140 is x is x=0.30×140.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Find the slope of y-intercept of the line represented by the table. Please look at the photo

Answers

Answer:

The slope is m= 4 and the y intercept is b= 9

Step-by-step explanation:

The slope is found by using change in y over change in x, or rise over run. From the table, this means, how much does y change for every time x goes up. As you can see, every time x increases by one, y increases by 4. So that´s your slope. The y intercept is when the line crosses the y axis, where x=0. Because you already know the slope, and that when x is one, y is 13, all you have to do is to know that going backwards by one for x means going backwards by 4 for y, and 13-4 is 9.

Find a three-digit number, which is 5 times greater than the product of it's digits.

Answers

Answer:

1,500 and 300

Step-by-step explanation:

300 x 5 = 1,500

Select all of the trips that would take 2 hours.

1. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.

2. Walk 3 miles per hour to school, which is 1.5 miles away.

3.Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.

Answers

Answer:

1 and 3

Step-by-step explanation:

80 (mph) × 2 (hours) = 160 (miles)

60 (mph) × 2 (hours) = 120 (miles)

5 m
m
7 깄
0
M
K
5
Solve for the perimeter.
3 m
P=

Answers

Answer:

It might be C if im wrong sorry

Step-by-step explanation:

I have a circle that has a diameter of 10 in. Explain how to find the area of the circle.

Answers

Answer:

r squared × π

Step-by-step explanation:

Half of the Diameter (5in) squared

multiply by π

Answer:

31.4

Step-by-step explanation:

A=(pie) radius 2

To find the radius half the diameter

A=3.14(5in)2

A=15.7 x 2

A=31.4

Write an equation in point slope form that passes through the given point and has the given slope.

Point = (-1, -4)

Slope = 2

Answers

Answer:

y+4=2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

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

y+4=2(x+1)

Answer:

y+4=2(x+1)

Step-by-step explanation:

point slope form

(y-y1)=m(x-x1)

m: slope = 2

(x1,y1) = (-1,-4)

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

Please help me WILL GIVE 20 POINTS

Answers

Answer:

10.8 in.; CE = √(82 + 62 + 42)

Step-by-step explanation:

I think this hint helps you

have a great day ahead

help please
solve for X​

Answers

X would have to equal 30
Answer: 30

29+1+2x=90
30+2x=90
-30 -30
2x=60
X=30

You and 3 friends are going to the fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular priced ticket to the fair cost?

Equation:

Answer:

Answers

Answer:

one regular ticket costs $30

Step-by-step explanation:

The total number of people = 4

Without  the $20 coupon, the total cost would have been =100+20 = $120

Assume the price of one regular ticket is x;

4x = 120

Divide both sides by 4 to solve for x

x = 120/4

x = 30

Therefore, one regular ticket costs $30

Answer:

$30

Step-by-step explanation:

Since you pay 100 after discount, you add the 20 dollar discount to the 100 ($120)

Then since there are 4 of you in total, (you+ 3 friends), you divide by 4.

And Voila, your answer is $30 per person.

Hope this helps :)

Determine which of the following pair of angles are complementary, supplementary or other

Answers

Answer:

I] 135+45=180

therefore supplementary angles

ii] 55+35=90

complementary angles

iii]55+45=100

neither

iv] 77+13=90

complementary angles

can anyone tell me what 3 1/4 looks like as a decimal

Answers

Answer:

3.25

Step-by-step explanation:

Answer: 3.25

Step-by-Step-Explanation: I showed my work below and I hope that helps.

solve the following for x 4(x+2) = 6x

Answers

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4(x+2)=6x

distribute 4:

4x+8=6x

Subtract 4x from each side:

8=2x

Divide both sides by 2:

x=4

what's the difference between two step equations and one step equations

Answers

When solving two step equations you must solve one part of the equation so that you can solve the second part.

In one step equations you can just solve the equation as is.

Answer:

A one step equation needs one step, and a two step equation needs two steps.

Step-by-step explanation:

CAN SOMEONE ANSWER THIS CORRECTLY PLZ!

Answers

Answer:

DFG = 28

because DEFG is a rhombus

=> DF is a bisector of angle EFG

=> EFD = DFG

we also have: EG is perpendicular with DF

EG cuts DF at O

=> EOF is a right triangle at O

=> EFD = 90⁰ - 62⁰ = 28⁰

=> DFG = 28⁰

The diameter of a circle is 8 meters. What is the circle's circumference?

Answers

Answer:

25.13 square meters

Step-by-step explanation:

The formula for finding the circumference of a circle is πd or pi times the diameter

Diameter = 8 meters

Pi = 3.14

3.14 times 8 = 25.13

Please help will mark brainiest

Answers

Answer:

DFE AND FED

Step-by-step explanation:

Answer:
FED and DFE
Reason:

An 18% tip is left on a $65 dinner bill. 5% tax is added (before tip). What is the total paid?

Answers

Answer: $79.95

Step-by-step explanation:

65 × 0.18 = 11.7

65 × 0.05 = 3.25

11.7 + 3.25 = 14.95

14.95 + 65 = $79.95

-1.8(3-1.4h) simplify the expression

Answers

Answer:

-5.4 + 2.52h

Step-by-step explanation:

(1,9)(2,2) what is this in point slope form?

Answers

y-9=-7(x-1) i’m positive
Answer:Hope this helps you out and have a nice day

8th grade math! If you know the answer to this problem please interact(:

Answers

Answer:

the third one (-2,1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

so solving the first one we get

y=2x+5

and the second one we get

y=5x+10+1

y=5x+11

substiuting we get

2x+5=5x+11

3x=-6

x=-2

and y= 1

so it would be C

if my answer helps please mark as brainliest.

What is the value of x ??
F. 180
G. 90
H. 40
I. 8

Answers

The value of x is 8

A triangle has sides of length 3 cm, 5 cm, and 7 cm.
Find the size of the largest angle in the triangle,

Answers

Answer:

C=120 degrees

Step-by-step explanation:

We can use the law of cosines to find an angle when we have all three sides

(7)^2 = (5)^2 + (3)^2 -(2)(5)(3)Cos(C)

49 = 25 +9 -30Cos(c)

49= 34 -30Cos(c)

15 = -30Cos(c)

Cos(c) = -1/2

C=120 degrees

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 15, 30,60,... Find the 6th term.

Answers

Answer: 120, 240, 480

Step-by-step explanation:

It would appear that the numbers are increasing in multiples of 2.

15 * 2 = 30

30 * 2 = 60

The next 3 terms will therefore be:

60 * 2 = 120

120 * 2 = 240

240 * 2 = 480

Answer:

480

Step-by-step explanation:

Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay

Answers

Answer:

Tia earns $693 in 36 hours

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