what do you call this form of quadratic function y=ax2+bx+c? how about y=a(x-h)2+k

If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that,a =-5i and b = -4x

We have to find the value of a+b in a fully simplified form.

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

=a+b

= -5i-4x

Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

Learn more about the complex number here:

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Answer:

Step-by-step explanation:

if the bicyclist travels 62 miles in 2 h, he travels 62/2=31 miles per hour

y=nr miles

y=31x

choice C

Answer:

C

Step-by-step explanation:

Divide 62 by 2 to get the unit rate (31 miles per hour)

62/2= 31

X is used to show the number of hours. We are trying to determine the number of miles the biker will travel in x hours. So we would need to multiply 31 and "X" or we could write it as "31x"

Hope this helps!

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

Answer:

yes

Step-by-step explanation:

so x=2 and y=5

5 = 5 x 2 - 5

0=0

equation is right

Answer:

0 (-1,2,-4, 8, -16) that should help you

Step-by-step explanation:

The sequence 1, 4, 16, 64, 256 shows the similar graph increasing from left to right. Option a is correct.

Sequence which have similar graph as certain geometric sequence increasing from left to right.

It is type of sequence and series that has common and equal ratio between preceding values in series.

Here,
The only geometric sequence seems from observation having increasing from left to right, that implies the curve is also increasing from left to right is 1, 4, 16, 64, 256, having common ratio of 4 with preceding values.

Thus, the sequence 1, 4, 16, 64, 256 shows the similar graph increasing from left to right.

Learn more about geometric progression here:
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Answer:

$5.61

Step-by-step explanation:

So, first of all, 15% off of 1.20 is 1.02. Then, multiply that by 5 1/2 to get $5.61.

Answer:

I think of having 81inches

Answer: X=-2

Step-by-step explanation:

Answer:

540

Step-by-step explanation:

(n-2)×180

(5-2)×180

3×180

540

Answer:

The height of the storage tank would be approximately 1.2 m.

Step-by-step explanation:

The cattle drink 3 cubic meters of water each day.

For 5 days,

the cattle would drink = 3 cubic meters x 5

                                      = 15 cubic meters of water

Thus,

The volume of the storage tank = 15 cubic meters

But,

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius and h the height.

So that,

15 = [tex]\frac{22}{7}[/tex] x [tex]2^{2}[/tex] x h

15 = [tex]\frac{22}{7}[/tex] x 4 x h

15 = 12.57h

h = [tex]\frac{15}{12.57}[/tex]

  = 1.1933

h = 1.2 m

The height of the storage tank would be approximately 1.2 m.

If we want to check that a graph is function or not, we have a way to check by doing these steps.

If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.

From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.

The graph is a function.

Answer:

We have the inequalities:

y > 2*x + 2/3

y < 2*x + 1/3

First, we need to understand how to see the solutions of each one of these.

y > 2*x + 2/3

The solution set of this inequality will be ALL the points above the line:

y = 2*x + 2/3

And the solution of the inequality:

y < 2*x + 1/3

Will be the set of all the points below the line:

y = 2*x + 1/3

Notice that line "y = 2*x + 2/3" is above than the line "y = 2*x + 1/3"

Then the system:

y > 2*x + 2/3

y < 2*x + 1/3

Has no solutions.

If we reverse both inequalities, we will get:

y < 2*x + 2/3

y > 2*x + 1/3

Now the solution of the first inequality will be all of the region below the line, and the solution for the second will be all the region above the line.

In this case, the solution of the system will be all the region between both lines, as we can see on the graph below. Where the solution of the system is the doubled shaded area.

Answer:

42??

Cause 42-6=36

iqiwuwujdjdnkqkwkskksks

Answer:

42

Step-by-step explanation:

36+6=42

42-6=36

Answer:

4x2+7x−1

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

A square is a quadrilateral (has four sides and four angles). All the sides of a square has equal sides and all the angles of a square are equal with a measure of 90° each.

The area of inner square = length * length = 6 ft * 6 ft = 36 ft²

The area of outer square = length * length = 11 ft * 11 ft = 121 ft²

The probability that the arrow hits the inner square = area of inner square / area of outer square

The probability that the arrow hits the inner square = 36 ft² / 121 ft² = 0.3 = 30%

Answer:

55% i think

Step-by-step explanation:

Answer:

the correct answer to the problem is 9

Answer:

9

Step-by-step explanation:

3x - 1 = 26

3x = 27

x = 9

Answer:

2/4

Step-by-step explanation:

i..dk i think it is 2/4

Answer:

$769.38

Step-by-step explanation:

First, find the cost with the 30% off original price:

1249(0.7)

= 874.3

Now, find the cost with the 12% discount off sale price:

874.3(0.88)

= 769.38

So, Mr Hanson would pay $769.38 before tax

Answer:

$769.38

Step-by-step explanation:

Original price: $1249

100% - 30% = 70%

A 30% discount means that you pay 70% of the amount.

Apply a 30% discount: 0.70 * $1249 = $874.30

100% - 12% = 88%

A 12% discount means that you pay 88% of the amount.

Apply a 12% discount: 0.88 * $874.30 = $769.384

Answer: $769.38

Answer:

addition

Step-by-step explanation:

in this case its addition , but the only reson it is going first is bc it sin the parenthasies

Answer:

x= 1.125

Step-by-step explanation:

0.5 + 4x = 5

4x = 5 - 0.5

4x = 4.5

x = 4.5/4

x= 1.125

Answer:

x=1.125

Step-by-step explanation:

1/2+4x=5

5-1/2=4.5

4.5/5=1.125

Answer:

a)80

b)250

c)130

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

83 = 3 is less than 5

so,83-3=80

b) l27 = 7 is more than 5

so 127 + 3 =30

c) 245 = 5 is equal to 5

so 245+5=250

Answer:

1. m∠QVR=49°

6. 3x+4=49

4. straight angles theorem

8. division property  

Step-by-step explanation:

Answer:

y =5(x+2)2−6 is the correct ans

The vertex form of quadratic equation is expressed as:

y = a (x - h) + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x+ 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x + 4x +4)

We simplify the right-hand side as:

y =5(x+2)2−6

(hope that helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The vertex form is one of the most commonly used forms for quadratic functions, as it emphasizes the dimensions of the substring graph's vertex.

[tex]\to y= 5x^2+20x+11\\\\[/tex]

Solving the equation:

[tex]\to y= 5(x+2)^2-9\\\\\to y= 5 (x^2+2^2+ 2\times 2 x)-9\\\\\to y= 5 (x^2+4+ 4x)-9\\\\\to y= 5x^2+ 20+ 20x-9\\\\\to y= 5x^2+ 20x +11\\\\[/tex]

So, the value is "5(x+2)²-9".

Find out more about the vertex form here:

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Answer: 8

Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

Answer:

the answer is D

Step-by-step explanation:

Do rise over run and y intercept is 3

Answer:

24 yard of the water fountain