What is the equation, In factored form, of the quadratic function shown in the graph?

Answer:

Formula for area of a triangle= L*H/2

Step-by-step explanation:

Let's say your triangle has an A length of 15 and your B height is 12. You then multiply your length and height to get 180. Then you divide your answer by 2 and get 90.

Hope this helps!! :)

Answer:

x = (4,0)

y = (0,5)

Step-by-step explanation:

5x + 4y = 20

5(0) + 4y = 20

(4y ÷ 4) = (20 ÷ 4)

y = 5

5x + 4(0) = 20

(5x ÷ 5) = (20 ÷ 5)

x = 4

x = (4,0)

y = (0,5)

Answer:

24 meters

Step-by-step explanation:

Use the pythagorean theorem

18² + x² = (x + 6)²

Expand

324 + x² = x² + 12x + 36

Subtract x² from both sides

324 = 12x + 36

Subtract 36 from both sides

288 = 12x

Divide both sides by 12

24 = x

24 meters

Answer:

y= ¼x +1

Step-by-step explanation:

Rewriting the equation into the slope-intercept form (y= mx +c, where m is the gradient and c is the y- intercept):

4y -x= -20

4y= x -20 (+x on both sides)

y= ¼x -5 (÷4 throughout)

Thus, slope of given line is ¼.

Parallel lines have the same gradient.

Gradient of line= ¼

y= ¼x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 8, y= 3,

3= ¼(8) +c

3= 2 +c

c= 3 -2

c= 1

Hence the equation of the line is y= ¼x +1.

Answer:

The cube root of a number x is the length of the side of a cube whose volume is x cubic units.

The square root of a number x is the length of the side of a square whose area is x square units.

Hence the words ‘cube’ and ‘square’.

Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square

Answer:

35 ounces

Step-by-step explanation:

If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.

Answer:

92

Step-by-step explanation:

6 x 8 = 48  

48 + 136 = 184

184 / 2 = 92

Answer:

Step-by-step explanation:

948 x 789 = 747,972

Answer:

The probability that they will both break down would be 8%

Step-by-step explanation:

I believe it is 8% (sorry if its wrong) because tractor 1 is 3% and tractor 2 is 5% add them together and that is where you get 8%

Answer:

the answer is 1

Step-by-step explanation:

(√4 / √6) + (√6 / √4)

(2 / 2√3) + (2√3 / 2)

√3 / √3

= 1

Hello,

Let 's  n the number of sides,

R the radius of the circonscrit circle,

c the side of the polygon (c like côté)

Angle in the center is 360/n and its half is 180/n

(c/2)/R=sin(180/n)

Inside angles are (180-360/n)/2 = 90-180/n (°)

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

The point is inside. I used Desmos and it showed this.

aand (-4,2) can be placed inside the circle.

Step-by-step explanation:

Answer:

The dependent variable is the grade point average recorded for each student.

Step-by-step explanation:

The dependent variable is defined as the variable that is to be tested or even measured in an experiment.

In this question, At the end of the semester, the variable that is being tested is the grade point average for each student.

Thus it is the dependent variable.

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P=  £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the  worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5

Answer:

Step-by-step explanation:

Answer: $268.75

Step-by-step explanation:

First, find the amount he earned from his sales:

1500(0.0125) = $18.75

Next, add that to his monthly salary:

$250 + $18.75 = $268.75

Answer:

correct answer is 1)675 units^2

[tex]x = 2 \\ y = 7[/tex]

is the answer to:

[tex]y = 11 - 2x \\ 4x - 3y = - 13[/tex]

_________________________________________

[tex]x = 5 \\ y = 2[/tex]

is the answer to:

[tex]2x + y = 12 \\ x = 9 - 2y[/tex]

_________________________________________

[tex]x = 3 \\ y = 5[/tex]

is the answer to:

[tex]2x + y = 11 \\ x - 2y = - 7[/tex]

_________________________________________

[tex]x = 7 \\ y = 3[/tex]

is the answer to:

[tex]x + 3y = 16 \\ 2x - y = 11[/tex]

Answer:

126720x⁸

Step-by-step explanation:

explanations are in the images above .. you can reach me personally for expanded help

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92

Step-by-step explanation:

[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]

Answer:

The complete question can be found online.

The missing information is:

Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km

Remember that 1000cm^3 = 1 L

then:

100cm^3 = 0.1L

This means that he uses 0.1 L per kilometer.

The equation that shows how many liters of fuel he will have is:

initial fuel - consumed fuel.

We know that the initial fuel is 30 liters.

And the consumed fuel will be the amount of fuel he used to drive the 120 km

Remember that for each km, he consumes 0.1 L of fuel.

Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:

120*0.1 = 12 L of fuel

Then the remaining fuel in the tank is:

30 L - 12 L = 18L

There are 18 L of fuel in the tank.

Answer:

Should be 30-100/1000*120

Step-by-step explanation:

XxFazexX Ben Franklin is Goated.

Answer:

45 and 135

Step-by-step explanation:

Same Side Interior Angles = 180

x + 3x = 180

4x = 180

x = 45

3x = 135

Answer:

Angle 1 = 45 degrees

Angle 2 = 135 degrees

Step-by-step explanation:

All same side exterior angles are supplementary so if one is three times the other which means a ratio of 3:1.

180/4 = 45

First angle = 45 degrees

Second angle = 135 degrees

Answer:

- 1.4

Step-by-step explanation:

The average rate of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 1 ] , then

g(b) = g(1) = - 3 ( value of g(t) when t = 1 ]

g(a) = g(- 4) = 4 ( value of g(t) when t = - 4 )

average rate of change = [tex]\frac{-3-4}{1-(-4)}[/tex] = [tex]\frac{-7}{5}[/tex] = - 1.4

Answer:

1: the number of years since 2008 2. t is greater than or equal to 0 3. negative values 4. continuous

Step-by-step explanation:

1. t usually represents time

2. t must be greater than 0 as you can not go backward in time

3. the range must be positive as you can not have negative bobcats

4. its continuous because its a quadratic equation

1. no. of bobcats since 2008

2. greater than equal to 0

3 negative values

4. discrete because no. of bobcats cannot be broken into fraction.

Answer:

Expected value =0.9

Standard deviation = 0.4359

Step-by-step explanation:

Let's use the formula to find expected value or mean.

Expected value =Σ x *P(x)

  x    0    1     2

P(x) ) .15  .8  .05

So, expected value = (0)(0.15) +1(0.8)+2(0.05)

                                = 0 +0.8 +0.1

                                =0.9

Expected value =0.9

Now, let's find standard deviation

x           [tex](x- E(x))^{2}[/tex]         [tex](x-E(x))^{2} *p(x)[/tex]

0           [tex](0-0.9)^{2}[/tex]            [tex](0-0.9)^{2} *0.15[/tex]  =0.1215

1            [tex](1-0.9)^{2}[/tex]            [tex](1-0.9)^{2} *0.8[/tex]    =0.008

2           [tex](2-0.9)^{2}[/tex]             [tex](2-0.9)^{2} *0.05[/tex]  =0.0605

Now, add the last column together and then take square root to find standard deviation.

Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]

Simplify it, so standard deviation =0.4358898...

Round the answer to nearest four decimal places

Standard deviation = 0.4359

Answer:

500 kilowatt-hours.

Step-by-step explanation:

Let k = number of kilowatt-hours.

[tex]0.15k+30=105\\0.15k=75\\k=500[/tex]

Therefore, Dalton used 500 kilowatt-hours of electricity.

Answer:

Symmetric Property of Equality

Step-by-step explanation:

The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other side.

Hope you understood

Please mark me as brainliest

Thank You