The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Answers

Answer 1

Answer:

x = 5

  or

x = 3

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

Answer 2

If the equation x²−8x−5=0 can be transformed into the equation (x−p)²=q, then value of q is 21

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To transform the equation x² - 8x - 5 = 0 into the equation (x - p)² = q, we need to complete the square by adding and subtracting a constant term.

First, let's add 5 to both sides to get:

x² - 8x = 5

Applying complete square method

we need to add and subtract 16 inside the parentheses on the left-hand side:

x² - 8x + 16 - 16 = 5

Simplifying the left-hand side gives us:

(x - 4)² - 16 = 5

Adding 16 to both sides gives us:

(x - 4)² = 21

Therefore, the value of q is 21.

To learn more on Equation:

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Related Questions

I WILL MARK BRAINLIEST
(The question is number 2)

Answers

Answer: A

Step-by-step explanation:

What is the volume of the triangular prism?

Answers

It would be A, 15cm3 because if you find tho e volume of the triangular face, you will get 3cm2. Then you multiply that my the length of the prism, and 5 x 3 is 15. Thus, 15cm2

so, i' m doing my homework and i came across this question and i was confused...so can u please help me out, the person that gives me the MOST DESCRIBED answer will get Brainliest!! <3

Answers

Answer:

20 22 28 32 33 65 159

median =32

mean= 51.285714285

Solve 5÷9v≤45. Graph the solution.

Answers

Hey there!


5÷9v ≤ 45

5/9v ≤ 45

MUTLPLY 9/5 to BOTH SIDES
5/9v * 9/5 ≤ 45 * 9/5

CANCEL out: 5/9 * 9/5 because it give you 1

KEEP: 45 * 9/5 because it help solve for what is being compared to the v-value

NEW EQUATION: v ≤ 45 * 9/5

SIMPLIFY IT!
v ≤ 81

It is a CLOSED circle shaded to the LEFT

Therefore, your answer is: v ≤ 81


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)


A cone has a height of 17 centimeters. What is its volume? Use n 3.14

Answers

Answer:

444.83

Step-by-step explanation:

volume of a cone is given by the formula pi × r^2 × h × 1/3

by implementing the formula we get the answer which is 444.83

make sure to ask if you need any further guidance :)

y = −2x + 6 and y = 4x solution

Answers

Answer:

x=1 y=4

(1,4)

Step-by-step explanation:

The Jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to but lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each costs $100.00, which includes unlimited refills. Mr. and Mrs. Jones have a budget and are trying to decide who will order which platter and who will buy a souvenir cup. Let x represent the number of chicken platters, y represents the number of burger platters, and z represent the number of souvenir cups.

Answers

Answer:

128+8.50x+9.50y+10z

What is the volume of the cylinder shown below?Use 3.14 as an approximation for π.





A. 314 in³
B. 1,256 in³
C. 5,024 in³
D. 5,625 in³

Answers

Find the area of the circle ( top)

Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.

Volume = area of top x height

Volume = 200.96 x 25 = 5,024 in^3

Answer: C. 5,024 in^3

Answer:

C

Step-by-step explanation:

If a quadratic has a maximum at (4, 2) with roots at (2,
0) and (6, 0), what is a possible equation?

Answers

Answer:

g(x) =  - 1/2 * (x^2 - 8x + 12)

Step-by-step explanation:

Given the information, you have provided.

Zeros: (2,0) and (6,0).

Maximum: (4,2) which is also your (h,k)

f(x) = - (x - 2)*(x - 6)

g(x) =  - 1/2 * (x^2 - 8x + 12)


I do not know how to explain this, but -1/2 makes the graph get (4,2) as the maximum.

The red graph is f(x) = - (x - 2)*(x - 6)

The blue graph is your answer g(x) =  - 1/2 * (x^2 - 8x + 12)

8. Which function is shown on the graph below?

Answers

Answer:

the answer is c

Step-by-step explanation:

-then+

what is this for 2nd grade math. 247+?=673

Answers

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

Answer:

426

Step-by-step explanation:

673

-247

_____

426

Need help ASAP! Please

Answers

Answer:

1

Step-by-step explanation:

How do you write 170% as a decimal?

Answers

170% written as a decimal is 1.7

Answer:

it is 1.7 hope it helps

Find the area of this triangle, round to the nearest 10th

Answers

Answer:

109.3 yard²

Step-by-step explanation:

Area of triangle = bh / 2

base is 23yd

height is 9.5yd

bh / 2 = 23 × 9.5 / 2

Area = 218.5 / 2

Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²

Which statement is true about the box plot? the youngest age is 7. it is skewed right. more of the children were close to 12 years old than 6 years old. half of the children were between 6 and 9 years old.

Answers

The statement that is true about the box plot is that More of the children were close to 12 years old than 6 years old.

What is box plot?

A box plot is known to be a kind of plot that shows at least five-number that acts as the summation of all the set of a given data.

Conclusively, in the case above, the box plot is said to be showing the a lot of children whose age are close to 12 years old more than those who are 6 years old.

Learn more about  box plot from

https://brainly.com/question/14277132

Answer:

The answer is C

Step-by-step explanation:

MR. Benet feeds his dog 1/2 of a cup of dog food each day. How long will 9 cups of dog food last?

Answers

Answer:

18 days

Step-by-step explanation:

since 1/2 is half, u will multiple 9 by 2 to get 18 days !

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y= 5x-3. What is the point- slope form of the equation for this line?

A y-13= 5(x-2)
B y+13= 5(x + 2)
C y-2=5(x - 13)
D y+2=5(x + 13)​

Answers

Answer:

B

Step-by-step explanation:

y-y1=m(x-x1)

y+13=5(x+2)

Will a 12-inch ruler fit in a box that is a right rectangular prism with a width of

5 inches, a length of 10 inches, and a height of 3 inches? Explain your answer

Answers

Answer:

The Ruler won't fit.

Step-by-step explanation:

Remark

The way this is traditional done is to find the hypotenuse of 5 and 10 inches and use this result with the height. If that does not work, then other combinations can be used.

Hypotenuse (10 and 5 )

Formula

c^2 = a^2 + b^2

Givens

a = 10

b = 5

Solution

c^2 = 10^2 + 5^2        Expand

c^2 = 100 + 25           Add

c^2 = 125                    

Now use the Pythagorean Theorem a second time.

z^2 = x^2 + y^2

x^2 = 125

y^2 = 3^2

z^2 = 125 + 9

z^2 = 134

This is not large enough. A ruler is 12 inches long which would mean that z^2 should come to 144. I don't think any other combination is going to do much better.

In fact looking at it more closely all combinations will give z^2 = 134.

Evaluate the measure x in the figure.

Answers

Answer:

125 degrees

Step-by-step explanation:

Assuming l and m parallel, 125= x

Find the value of x.

Answers

Answer:

51°

Step-by-step explanation:

to find x, note that the sum of angles in a triangle is equal to 180°

x+ 63° +66° = 180° ( sum of angles in a triangle.)

x+129° = 180°

x= 180-129 = 51°

x= 51°

hope this helps. please rate and mark brainliest!!!!

A pond has a minnow population of 20000 that is increasing at a rate of 5%
per year. The minnows' algae food supply is decreasing so that it supports
750 less minnows each year. How is the population of minnows growing,
and how is the supply of algae declining?

Answers

20000x.05= 1000 added minnows per year, with the algae decline, we loose 750 minnows per year. 250 minnows are added every year. The rate 5% every year would be exponential growth, and the decline of 750 minnows per year is a result of a negative constant (not exponential decline.)

The Graph below shows the height h in feet of a ball t Second after it is thrown. The passes the ball is represented by the equation h=-t^2+8t please use the graph to answer the question what time is the ball increasing in height I will give BRAINLIEST

Answers

Slope: x=-1/3
Answer: 24’’

Increase a monthly salary of $2925 by 7.2%.​

Answers

Answer:

Step-by-step explanation:

2925+ 7.2% of 2925

2925+0.072*2925

2925+210.60

=$3135.60(increased salary)

Answer:

$3135.6

Step-by-step explanation:

What is the least common denominator of 1/6 and 11/12?

Answers

Answer:

12

Step-by-step explanation:

1/6  = 2/12     11/12 = 11/12

Answer:

12

Step-by-step explanation:

6 =3×2

12=3×2×2

Least common denominator = 3×2×2 = 12

please helpppppppppppppp

Answers

Answer:

it is d because a budget is when u set an amount to spend. there for you be safe in a sertint amount.

Solve this thing pls
[tex]3\left(q-7\right)=27[/tex]

Answers

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of q .

Solution : -

[tex] \quad \: \longmapsto \: 3(q - 7) = 27[/tex]

Step 1 : Solving parenthesis :

[tex]\quad \: \longmapsto \:3q - 21 = 27[/tex]

Step 2 : Adding 21 on both sides :

[tex]\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21[/tex]

On further calculations we get :

[tex]\quad \: \longmapsto \:3q = 48[/tex]

Step 3 : Dividing by 3 from both sides :

[tex]\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }[/tex]

On further calculations we get :

[tex]\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}[/tex]

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

Therefore, our solution is correct .

#Keep Learning

Answer:

The value of q is 16

[tex] \: [/tex]

Step-by-step explanation:

So here, a equation is given and we are asked to solve the equation.

[tex] \\ \dashrightarrow \sf \qquad3(q-7)=27 \\ \\ [/tex]

For this, we have to use the Distributive property, which is :

a(b + c) = ab + ac

[tex]\\ \dashrightarrow \sf \qquad3q-21=27 \\ \\ [/tex]

Transposing the constant term (-21) to the right side we get :

[tex]\\ \dashrightarrow \sf \qquad3q=27 + 21 \\ \\ [/tex]

Adding the like terms :

[tex] \\ \dashrightarrow \sf \qquad3q=48 \\ \\ [/tex]

Now, We'll divide both sides by 3 :

[tex] \\ \dashrightarrow \sf \qquad \frac{3q}{3} = \frac{48}{3} \\ \\ [/tex]

[tex]\dashrightarrow \bf \qquad \: q=16 \\ \\ [/tex]

Can some help?! Please and thank you

Answers

Answer:

measure of angle EFG = 139°

measure of angle IFH = 49°

Since angles DEF and EFG are supplementary:

[tex]2x + 3 + 6x + 25 = 180[/tex]

[tex]8x + 28 = 180[/tex]

[tex]8x = 152[/tex]

[tex]x = 19[/tex]

So the measure of angle EFG is

6(19) + 25 = 114 + 25 = 139 degrees, and the measure of angle DFE is 41 degrees.

Angles DFE and GFH are vertical, so angle GFH measures 41 degrees.

Angles GFH and IFH are complementary, so angle IFH measures 49 degrees.

Kelsey has $100 in an account. The intrest rate is %11 compounded annually. To the nearest cent, how much will she have in 2 years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=100\left(1+\frac{0.11}{1}\right)^{1\cdot 2}\implies A=100(1.11)^2\implies A=123.21[/tex]

y-b=m(x-a) solve for m

Answers

Answer:

[tex]m=\frac{y-b}{x-a}[/tex]

Step-by-step explanation:

Considering no values were supplied, the most we can do here is rearrange the equation to get m on its own.

In the equation y - b = m(x - a), since (x - a) is multiplicative of m, we can divide this value to remove it from m's side. This leaves us with:

[tex]m=\frac{y-b}{x-a}[/tex]

Answer:

Step-by-step explanation:

To solve y-b=m(x-a) for m, divide both sides of this equation by (x - a):

           y - b

m = ---------------

          (x - a)

need help fast. please.

Answers

Answer:

octagon; not regular

Step-by-step explanation:

This shape is an octagon because it has 8 sides (hence "oct") and it is irregular because not all the sides are of equal length and it does not look like a regular octagon..

Hope this helps!

Answer:

octagon; non regular

Step-by-step explanation:

because it have unequal sides and unequal angles.

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