In the following table of values, what would be the value of "b" in ax² + bx + c
-2 7
-1 10
0 15
1 22
2 31

In The Following Table Of Values, What Would Be The Value Of "b" In Ax + Bx + C-2 7-1 100 151 222 31

Answers

Answer 1

Using a system of equations, it is found that the value of b in the function would be of 6.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering that when x = 0, y = 15, we have that c = 15.

Then, when x = -1, y = 10, hence:

a - b + 15 = 10.

a - b = -5.

a = b - 5.

When x = 1, y = 22, hence:

a + b + 15 = 22.

a + b = 7.

Since a = b - 5:

b - 5 + b = 7.

2b = 12.

b = 6.

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Answer 2

Answer:

B) 6

Step-by-step explanation:

I took the exam for alg 2


Related Questions

Which of the following is not a valid probability?

A. 1.3
B. 0
C. 0.4
D. 1

Answers

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

What is the area of ΔABC to the nearest tenth of a square millimeter?

Answers

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

PLEASE HELPPP i have no clue what to do

Answers

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers​

Answers

Another two number can be 30 and 30

a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing

Answers

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

PLEASE HELP ILL MARK BRAINEST!!

Answers

Answer:

-3,-2

Step-by-step explanation:

Answer:

-3,-2

Step-by-step explanation:

if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).

Which set of numbers cannot represent the lengths of the sides of a triangle?







A.
7, 5, 6

B.
9, 12, 19

C.
6, 8, 11

D.
7, 18, 11

Answers

i believe the answer would be d because 7+11 is not greater than 18

Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second.

Answers

Answer: 16 cups per second.

Step-by-step 5.5 minutes into seconds 320.

620 gallons into cups 9920.

9920 divided by 320 seconds.

16 cups per second



A Sparkle Soda has a radius of 2.8 cm and a height of 11.5 cm. Find the volume of the can of soda to the nearest hundredths.

Answers

Answer:

283.86 cm³

Step-by-step explanation:

A can of soda has the shape of a cylinder.

Formula for finding volume of a cylinder :

Volume = πr²h

===============================================================

Solving :

⇒ Volume = 22/7 × (2.8)² x 11.5

⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5

⇒ Volume = 22 × 0.4 × 32.2

⇒ Volume = 8.8 × 32.2

⇒ Volume = 283.86 cm³

Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...​

Answers

Answer:

155

Step-by-step explanation:

Solution

[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.

E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.

Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].

Another way:

Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.

Answer:

155.

Step-by-step explanation:

By the definition of a square root the answer is 155.

A date is picked at random on the calendar for april. what is the probability that the date chosen will be on a two digit odd number

Answers

Answer:

1/3

Step-by-step explanation:

That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30

10/30=1/3

please help with question

Answers

Answer:

  65.8

Step-by-step explanation:

The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.

__

The relation is ...

  a/sin(A) = b/sin(B)

Solving for 'a' gives ...

  a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)

  a ≈ 65.8

The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?

Answers

Answer:

A. Horizontal Stretch and vertical shift down 4

Step-by-step explanation:

When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.

2 is greater than 1 so its a horizontal stretch.

When there is a number outside of the () then that number determines how high or how low you go depending on the sign.

Our number is -4 so we go down 4.

The students in Mr. Tate's art class painted landscapes showing the different seasons of the year. There were 7 paintings of winter, 5 paintings of spring, 8 paintings of summer, and 5 paintings of autumn.

What percent of the paintings were of summer?

Answers

Step-by-step explanation:

7+5+8+5=25 All the paintings

paintings of summer:8

8 of 25

25×4=100

8×4=32

paintings of summer:32%

Darion picks 16 grapefruits off
a tree in his backyard. He puts
4 grapefruits in each bag. How
many bags does he need?

Answers

hey there!

Number of bags he need = 16/4 = 4

He needs [tex]\fbox{4}[/tex] bags.

Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

find two integers who’s sum is 20 and products is 100

Answers

Answer: 10

Step-by-step explanation:The answer is 10

Step-by-step explanation:

10+10=20

10 * 10= 100

Hope it helps you.

rewrite the formula p=2L+2w

Answers

P=2L+2w is the same as

P=2(l+w)

There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?

Answers

The number of ways in which three swimmers can advance is 56.

What is a combination?

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]

[tex]\mathbf{C(n,r) = 8\times 7}[/tex]

C(n, r) = 56

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Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.

Answers

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25. which equation and solution
represents p, the number of pounds of strawberries ms. diaz buys?

Answers

Answer:

21.25=4.25p

Step-by-step explanation:

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her

strawberries. one pound of strawberries costs $4.25.

1/5

The equation to represent the situation is 4.25p=21.25.

Ms. Diaz buys 5 pounds of strawberries.

What is equation?

A mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Mr. Diaz pays for strawberries = $21.25

price for one pounds = $4.25

Then,

Number of pounds * cost  = Total cost for strawberries.

p * 4.25 = 21.25

p = 21.25 / 4.25

p = 5

Hence, the equation that can represent 4.25p=21.25

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Solve four and two fifths plus two and two thirds. (4 points)


six and one fifteenth

six and three fifteenths

seven and thirteen fifteenths

seven and one fifteenth

Answers

Seven one fifteenth

4 2/5 + 2 2/3 = 106/15 = 7 1/15

Answer:

7 1/15 ( mixed number )

Step-by-step explanation:

First, add...

4 + 2 = 6

Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15

Then do...

2/5 x 3/3 = 6/15

And...

2/3 x 5/5 = 10/15

Then add...

6/15 + 10/15 = 16/15

But this number is an improper fraction so the mixed number for it is...

1 1/15 + 6 = 7 1/15

So this gives us the final answer of 7 1/15 ( mixed number )

Pls, mark me the brainliest!!!!!!

I will mark brainlist to whoever answers first

Answers

Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Angles in ascending order:  ∠V < ∠U < ∠W

can someone help me ​

Answers

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

Answer = 49
Explanation: Combine all like-terms.

3s + 33 = 180

180 - 33 = 147

147/3 = 49

PLSS HELP I NEED THIS ASAP!!

Answers

Answer:

b) 95 degrees

Step-by-step explanation:

Remember that the internal angles of a triangle add up to 180°.

Solving :

45° + 40° + ∠x = 180°∠x + 85° = 180°∠x = 95 degrees

Let that angle be x

Apply angle sum property

x+45+40=180x+85=180x=180-85x=95°

x+x2 +2=44 solve the equation quick

Answers

Answer:

x=10.5 or x=6=x=−7

Step-by-step explanation:

x+x^2+2=44

x+x(x)+2=44

2x(x)+2=44 1. -2 on both sides

2x^2=42

2x(2x)=42

4x=42 2. /4 on both sides

x=10.5

Answer:

x = -7, 6.

Step-by-step explanation:

x+x2 +2=44

x^2 + x - 42 = 0

(x - 6)(x + 7) = 0

x =-7, 6

Find the smallest number. 8.9, 9.21, 9.73, 8.2

Answers

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

can someone please help me solve these questions i need them for school

Answers

ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.

What are Perpendicular lines?

A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.

Lines EG and FG  are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD

Lines JK ≅ HL because they are both created by parallel lines JL and HI.

Learn more about Perpendicular Lines at:
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A pattern has 4 blue triangles to every 310 yellow triangles. What is the ratio of yellow triangles to all triangles?

Answers

Answer:

blue to all triangles ratio: 1 : 78.5

Step-by-step

so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314

you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5

A cellular company offers a price of $16 for 200 minutes. Find the unit rate in cost per minute (Round to 2 decimal places) I WILL MARK AS BRAINLIEST

Answers

Price=$16Time=200min

Unit rate

Price/Time8/1000.08$/min

Answer:

$0.08 per minute

Step-by-step explanation:

Unit rate :

Total Price / Total Minutes$16 / 200 minutes$0.08 per minute

h(t)=−(t−7)²+4

Write the smaller t first, and the larger t second.

smaller t=?

larger t=?


2) What is the vertex of the parabola?

(?,?)

Answers

Answer:

1.  smaller value of t = 5

   larger value of t = 9

2.  (7, 4)

Step-by-step explanation:

Given function:  [tex]h(t)=-(t-7)^2+4[/tex]

To find the zeros, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Therefore, the vertex of the given function is (7, 4)

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