PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps

Answers

Answer 1

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

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

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D


Related Questions

How many 7-digit even numbers can be
formed using all of the digits 0, 1, 1, 2,
3, 4, 5?

Answers

Answer: The answer is 1320 hope this is right.

Step-by-step explanation:

❌❌❌WILL GIVE BRAINLIEST

Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.

Answers

Answer: n=1,2,3

Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3.  2*3+3*3=15     5*3=15

Hope this helps!

Which of the following relations is NOT a function?

Answers

Answer: Option 2 because it's the only one with repeating x coordinates.

A line passes through the points (0, -2) and (3, 4). Find the slope of the line.

Answers

M=2 I think so not sure

Rebekah traveled 540 miles in 9 hours. How many miles did she average each hour

Answers

60 miles/hour........

Answer:

60 mph (miles per hour)

Step-by-step explanation:

540 ÷ 9 = 60

Sorry if this answer is short. I want to get as much answers before Exam Mode starts.

Please help!!!!!!!!!!!!

Answers

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]

Given g(x) = -2x + 3, solve for x when g(x) = -3.

Answers

The answer to this problem is 9
-2(-3) + 3
= 6 + 3
= 9

What is the slope of the line shown on the graph?

Answers

Answer:

Step-by-step explanation:

The slope, m, can be determined using any two points, and slope is defined as

m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)

m=(-1-0)/(5-0)

m=-1/5

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math

Answers

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with [tex]n[/tex] sides is given by:-

[tex](n-2)\times180^{\circ}[/tex]

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. [tex](n-2)\times180^{\circ}=1920^{\circ}[/tex]

[tex]n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67[/tex]

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

-2x+4y=12
Can you help me

Answers

x=6-2y that’s your answer

The ratio of the number of boys to the number of girls in choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir A. 75. B. 61. C. 48. D. 80

Answers

the answer is actually A.B

Answer:

A

Step-by-step explanation:

60÷4 = 15

5×15=75, that's how many boys

4
10
-6
-544
32"
2 3 4 5 6
8
9 10
O y = -0.2(x + 3)2 – 4
Oy= -0.2(x – 3)2 - 4
Submit Answer
O y = 0.2(x + 3)2 - 4
O y = 0.2(x - 3)2 – 4

Answers

Answer:

10 -6 -544 32" 2 3 4 5 6 8 9 10 O y = -0.2(x + 3)2 – 4 Oy= -0.2(x – 3)2 - 4

A 24 pack box of colored gel markers cost $12.96 what is the cost per marker?

Answers

Answer:

approx. $1.85 or $1.86 each marker

Answer:

1.85 for each

Step-by-step explanation:

Write as a square of a binomial

4.8xy+36y^2+0.16x^2

Answers

(15y+x)^2

That’s your answer. I hope i helped!

Whats the equation to find the total cost ?

Answers

y = 8x
Is the equation

Evaluate the expression (13 − 3)2 ÷ 50.

The value of the expression is

Answers

Answer:

0.24

Step-by-step explanation:

(13 - 3) 2 / 50

10 + 2 / 50

12 / 50

=0.24

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Exact form: 2/5

Decimal: 0.4

Step-by-step explanation:

hi could you help my sister with function tables shes in elementary school​

Answers

Answer:

L- 23

P-53

O-28

U-43

H-58

Step-by-step explanation:

For this question you must simply replace N in the equation with the number in every letter for example L is 23 because a = 5 x (4) + 3, thus these are your answers!

Answer:

n=4   a=23

n=10  a=53

n=5   a=28

n=8   a=43

n=11   a=58

I dont know what the letter are for but here ya go.

Hope this Helps your sister! :)

If you had a cube with a side length of 4, how can your write the calculations in exponential form? You write it in exponential form by What are 2 other ways to read the exponent verbally.

Answers

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power". or "Four cubed".

Part A: Let y represent the number of rabbits after x years. Which functioncan be used to model y as a function of x, where x is a non negative number ?

А. y = 10 (3) ^ (x - 1)

В. y = 10 (3) ^ x

C. y = 3 (10) ^ (x - 1)

D . y = 3 (10) ^ x

Answers

Answer:

y = 10(3)x

Step-by-step explanation:

The exponential function that can represent the population of rabbits after [x] years is y = 10(3)ˣ.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is rate of increase of a rabbit's population.

The exponential function that can represent the population of rabbits after [x] years can be written as -

y = 10(3)ˣ

Refer to the graph attached.

Hence, the exponential function that can represent the population of rabbits after [x] years is y = 10(3)ˣ.

To solve more questions on functions, visit the link below -

brainly.com/question/1632425

#SPJ2

Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?

Answers

Answer:

A = 20 + 2p

Step-by-step explanation:

I can’t see tour answer choices, but I’ll give an equation that will hopefully match one. Feel free to add in the comments what the answer choices are, and I will follow up.

A = 4(5) + 2p
A = 20 + 2p
A = 2p + 20
A = 2(p + 10)

I’m getting the 20 from the 4 trays of 5 appetizers on the buffet. I’m getting the 2p from the “two appetizers per person”

SOMEONE HELPPPP IS THIS ONE CORRECT?

Answers

Answer:

yea

Step-by-step explanation:

YES ITS CORRECT GOOD JOB

Evaluate the following expression if x=3: (1/2)^x

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]

Use triangles to find the sum of the interior angle measures of the polygon.

Answers

Answer:

1440°

Step-by-step explanation:

From the 8 sided diagram, 8 triangles can be obtained. 1 triangle adds up to 180° thus for the diagram ,sum of interior will be 180°×8=1440°

HELP ME ASAP!!!!!!!!!!!

Pls see question attached.

WINNER GETS BRAINLIEST, THANKS AND A STAR RATING-EXCELLENT!!!!!!!!! Good Luck!
apokibunnyavatar xx

Answers

Answer:

y=2x-1

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Every 1 x the line goes across it goes up 2 so x=2.  You will also notice that the line passes through -1 on the y so y=2x-1/  BTW great graphing calculator to check lines and equations

desmos calculator

Simplify. Consider all cases. |12 - x|

The second one is filled out. It would be appreciated if someone filled out the first and third.

Also, I am giving out brainliest and a follow + 50 points. Please help me guys.

Answers

Answer:

x-12 if x>12

0 if x is 12

12-x if x<12

Step-by-step explanation:

hope it helps

x-12 if x>12

0 if x is 12

12-x if x<12

What is the radius of the circle?

The diameter of a circle measures 7 5/6 inches.

Enter your answer as a mixed number.

__ in.


Answer first, answer right, get brainly.

Answers

Answer:

3 11/12 in.

Step-by-step explanation:

The radius is simply half of the diameter.

7 5/6  divide by 2 =  3 11/12

A. [-2,3]
B. [-4,5]
C. [1,3]
D. [-5,0]

PLEASE ANSWER ASAP !!!

Answers

I’m pretty sure it’s b
B. [-4,5] or A. [2,3]


Zayna has 4 boxes with 14 art books in each box. She has 3 bags with 12 math books in each bag. If she
gives 15 books away, how many art and math books does she have left?

Answers

Add 14 and 12 you get 26. 26-15=11
Your answer is 11 art and math books left

Which is an equivalent ratio to 6/7?​

Answers

Answer: 12 : 14  18 : 21  24 : 28  30 : 35

Step-by-step explanation:

hope these is the right answer to your question

Help
If 4r = 24, then r=

Answers

Answer:

6

Step-by-step explanation:

Given,

4r = 24

[tex] = > r = \frac{24}{4} [/tex]

=> r = 6(Ans)

Answer:

6

Step-by-step explanation:

4r = 24

r = 24/4

r = 6

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