18. Solve x^2+ 6x - 16 = 0 by completing the square.
Please give detailed steps!!

Answers

Answer 1

Answer:

x1 = -8, x2= 2

Step-by-step explanation:

1. Write 6x as a difference

= x^2 + 8x - 2x - 16 = 0

2. Factor the expressions

= x ( x + 8 ) - 2x - 16 = 0

= x ( x + 8 ) - 2 ( x + 8 ) = 0

Factor out x + 8 from the expression

= ( x + 8 ) ( x - 2 ) = 0

3. When the product of factors = 0, at least one factor is 0

x + 8 = 0

x - 2 = 0

4. Solve the equation for x

x = - 8

x = 2

Therefore, the equation has 2 solutions :

x1 = -8, x2 = 2


Related Questions

Please help due tomorrow

Answers

Answer:

just observe its like corresponding soo..

CAB = DEF

ABC = EFD

ACB = EDF

EMJOY ;)

y+5=3/2(x-7) write in y=mx+b form

Answers

Answer:

[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]

Subtract 5 from both sides:

[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

I hope this helps!

The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these

Answers

The correct answer is C 4x0=0

A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.

Answers

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

5x+8=3(x+2) anyone know the answer?

Answers

Step-by-step explanation

work out the question in bracket first then separate numericals and variables to make it easier.

Answer:

distribute

5 + 8 = 3 ( + 2 )

expand to

 5 + 8 = 3 + 6

subtract 8 from both sides

5 + 8 = 3 + 6

5 + 8 − 8 = 3 + 6 − 8

simplify

5 = 3 − 2

subtract 3 from both sides

5 − 3 = 3 − 2 − 3

simplify

2 = − 2

then divide both sides by 2

2 / 2  = − 2/ 2

= − 2/ 2

answer is

= −1

Step-by-step explanation:

Hope that helps>3

please help me this is for tomorrow and i have to sleep​

Answers

Answer:

The answer is C

Step-by-step explanation:

The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C

John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen

Answers

Answer:

if this is it the equation would be L = 8w + 5

Help!!!!!!!!!!!!!!

2x+3=x-7

Answers

Answer:

x = - 10

Step-by-step explanation:

2x+3=x-7

=> 2x - x = - 7 - 3

=> x = -10 (Ans)

A.It has reflectional symmetry with one line of symmetry.

B.It has point symmetry.

C.It has no reflectional symmetry.

D.It has rotational symmetry with an angle of rotation of 180°.

Answers

Answer:

Step-by-step explanation:

( A ). It has reflectional symmetry with one line of symmetry.

Find the slope and the y-intercept of the line. ​

Answers

Answer:

slope=-1/5

y intercept=8

Hope this helps

Step-by-step explanation:

Answer:

Slope = -1/5

y-intercept: 8

Step-by-step explanation:

The line equation is y = mx + b, where m is the slope and b is the y-intercept.

We see that m is replaced by -1/5 and that b is replaced by 8.

Hope this helps!

Sean burns 8.5 calories per minute when he runs. How many calories does he burn if he
runs for 45 minutes?

Answers

Answer:382.5

Step-by-step explanation: 45 x 8.5 = 382.5

Simplify (3x-1)(x+3)

Answers

Answer:

3x 2 +8x−3

Step-by-step explanation:

Answer:

3x^2+8x-3

Step-by-step explanation:

That should be the right answer but don't quote me on it.

On solving equation 3*1/5b+5=50, the value of b will be?

Answers

Answer:

Step-by-step explanation:

14 1⁄16

the sum of 3 and a number

Answers

Answer:

the number will vary the answer

Step-by-step explanation:

3×1=3

3×2=6

What’s the answer ASAP

Answers

Answer:

none

Step-by-step explanation:

38×2=76

43×2=86

45×2=90

A store advertises a sale on t-shirts. The advertised price is four t-shirts for $48. Write and solve an equation to find the cost of one t-shirt.

a.) $8
b.) $12
c.) $16
d.) $48

Answers

4 tshirts = $48

( Divide by 4 )

1 tshirt = $12 -b.)


Pls give me a brainliest if this helped thx

An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

Answers

answer: 41

3325 - 225 = 3,100
3,100 / 75 = 41.3 but you can’t take .3 bags so you round down to 41

Which of the following is equal to 4 and 1 over 2 divided by 2 and 2 over 3?

Answers

Answer:

4.91666666667

Step-by-step explanation:

this is what i got

either 9/2 x 8/3 or 9/2 x 3/8

Which of the following is equivalent to the radical expression below when
x20?
VAX 1X+7
A. x 47
B. VAXA + 20%
C. VAMAX
D. X* 20%

Answers

Answer:

B in the photo

Step-by-step explanation:

another way to write the problem:

square root is also taking the 1/2 power:

[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]

since they are raised to the same power:

[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]

S...
Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39

Answers

9514 1404 393

Answer:

  A. 32

Step-by-step explanation:

The relationship between segment lengths is ...

  WT·WU = WC·WV

  14(2x +2) = 12(2x +5)

  28x +28 = 24x +60

  4x = 32

  2x = 16

Then the measure we're after is ...

  UT = WT +WU = 14 +(16 +2)

  UT = 32

3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund​

Answers

Answer:

The full scholarship fund will be 4000

Step-by-step explanation:

When doing these types of problems I like to do this.

1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)

Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8

500 × 8 = 4000

Can I have some help, please?

Answers

Answer:

[tex]-3(t+1)(8t-3)[/tex]

Step-by-step explanation:

First, factor both the denominators completely:

[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]

[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:

[tex]-3(t+1)(8t-3)[/tex]

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!

Benchmark of 6/10, how do I get this worked out

Answers

Answer:

0.60 or 60% is the answer!

Step-by-step explanation:

Hope I helped

Maggie studied for 2/5 of an
hour. Julie studied for 1/4 of an
hour. How much longer did
Maggie study?

Answers

Answer: 3/20

Concept:

When encountering questions that ask for [how much longer A comparing to B], the basic operation would be the value of A subtracted by the value of B.

Solve:

Given information

Maggie study time = 2/5 hours

Julie study time = 1/4 hours

Given expression deducted from the concept

Maggie (study time) - Julie (study time)

Substitute values into the expression

2/5 - 1/4

Find the denominators' Least Common Multiple (LCM)

First five multiples of 5: 5, 10, 15, 20, 25

First five multiples of 4: 4, 8, 12, 16, 20

Since [20] is the first term that appears in both multiples, it would be the LCM of 4 and 5

Convert the fractions to common denominator

2/5 = (2 × 4) / (5 × 4) = 8 / 20

1/4 = (1 × 5) / (4 × 5) = 5 / 20

Simplify by subtraction

=8/20 - 5/20

=(8 - 5) / 20

=[tex]\boxed{\frac{3}{20} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which of the following is not a polynomial?
O A. 3x4
O B. x8+2x3 +7
O C. 5x10 - 4x8 + 2
O D. 5- x2 + 7x0

Answers

Answer:

C

Step-by-step explanation:

is not a polynomial because it has a negative exponent.

Yes it should be C hope this helps

is a graph with asymptotes discontinious?

Answers

Answer:

In order for the function to be discontinuous at an asymptote, the curve needs to exist on both sides of the asymptote. If the curve only exists on one side of the asymptote, then there's no discontinuity at that point.

Step-by-step explanation:

If a curve only exists on one side the asymptotes, there is no discontinuity. If it exists on both sides of the asymptotes, there is discontinuity.
Hope this helps, please give me brainliest:)

a number is multipilied by 6, and that the sum is equal to the product of 2 and 19. find the number

Answers

Answer:

[tex]take \: the \: number = x \\ thenx \times 6 = 2 \times 19 \\ \\ 6x = 38 \\ x = \frac{38}{6} \\ x = 6.33 \\ thank \: you[/tex]

What is 1^2 + 0.1^2?

Answers

Answer:

1.01

Step-by-step explanation:

1^2= 1

0.1^2= 0.01

1+0.01=1.01

The answer of 1^2+0.1^2 is 1.01

Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)​

Answers

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

List the domain and range of the relation {(1, -9), (8,8), (0, -9), (8, 1), (1,9)}

Answers

Answer:

D={1, 8,0}

R={-9, 8,1,9}

Step-by-step explanation:

Here,

we, know, domain(D) =set of all first elements

thus, D={1,8,0}

again, range(R) =set of all second elements

thus R={-9,8,1,9}

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