-x2 + 5x + 24 Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents. Type the correct answer by each question mark, starting with the intercept with the lower value. The x-intercepts occur where x = ? (this is where the lower value intercept goes) and x =?

Answer:

111 m²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.

The area of a rectangle = length * width

For rectangle 1, length = 12 m, width = 3 m

Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²

For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m

Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²

For rectangle 3, length = 15 m, width = 3 m

Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²

Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²

Answer:

w = 10

Step-by-step explanation:

6w+18-9w = -12

Combine like terms

-3w + 18 = -12

Subtract 18 from each side

-3w +18- 18 = -12 -18

-3w = -30

Divide each side by -3

-3w/-3 = -30/3

w = 10

Answer:

w = 10

Step-by-step explanation:

6 w + 18 - 9 w = - 12

combine like terms

6 w - 9 w + 18 = - 12

- 3 w + 18 = - 12

subtract each side by 18

- 3 w + 18 - 18 = - 12 -18

- 3 w = - 30

Divide each side by - 3

- 3 w / - 3 = - 30 / - 3

w = 10

Answer:

below

Step-by-step explanation:

you can find the distance between the y values for each x value and if it comes out to be an even increase/decrease you know it is linear

Answer:

It does not form a linear equation.

Step-by-step explanation:

For this question, you should check that they all have the same gradient.

To work out the gradient, use [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

Using the top 2 rows, this gives [tex]\frac{-1--3}{-2--6}[/tex], or [tex]\frac{2}{4}[/tex], simplified to [tex]\frac{1}{2}[/tex]. This means for every increase in x by 1, y increases by [tex]\frac{1}{2}[/tex].

Between the first 2 rows, x increases by 4 and y by 2 (half of 4), so it is true.

Between the second and third rows, x increases by 2 and y by 2 (which isn't half of 2). This is false, meaning this does not form a linear equation.

**This question involves solving linear equations using gradients, which you may want to revise. I'm always happy to help!

Answer:

The answer is D

Step-by-step explanation:

Answer:

22 ft

Step-by-step explanation:

We need to find the side of the square garden.

Area of square garden = 484 sq.feet

side²   = 484

[tex]side = \sqrt{484}\\\\side = \sqrt{2*2*11*11} \\\\side = 2 * 11 = 22 feet[/tex]      

Answer:

I think its bar graph, bar graphs are suitable for comparing values for different things.. that's all I know sorry

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

Given the following data;

Number of friends = 8

Total expense = $120

Tip = 20%

To find how much each friend would pay?

First of all, we would determine the amount of tip.

Tip = 20/100 * 120

Tip = 2400/100

Tip = $24

New balance = total expense + tip

New balance = 120 + 24

New balance = $144

Next, we find how much each friend would pay using the mathematical expression;

Each paid = 144/8

Each paid = $18

f-¹f(10)=10

Answer:

Solution given:

f(x)=3x-2

let

y=3x-2

interchanging role of x and y

x=3y-2

y=[tex]\frac{x+2}{3}[/tex]

so

f-¹(x)=[tex]\frac{x+2}{3}[/tex]

now

f(10)=3*10-2=28

now

f-¹f(10)=f-¹(28)=[tex]\frac{28+2}{3}[/tex]=10

Answer:

X = 132

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle therefore

x = 46 + 86

x = 132

Answer:

The measures of exterior angle is 132° .

Step-by-step explanation:

We know that the sum of interior angle is equal to the sum of exterior angle of triangle.

86° + 46 ° = x

combine like terms

132° = x

Answer:

Area of A is 30

Step-by-step explanation:

total area = 280

amount of area given= 60+60+50+50

                                   =220

area left = 280-220

              =60

Area of 1 A= 60/2

                 =30

Answer:

x=16

Step-by-step explanation:

angle TVQ = angle VWS (if they are parallel they can be said as corresponding angles)

5x-22 = 3x+10

5x-3x = 10+22

2x = 32

x = 32/2

x = 16

Answer:

B

Step-by-step explanation:

If PQ and RS are to be parallel, then

∠ TVQ = ∠ VWS ( corresponding angles ) , that is

5x - 22 = 3x + 10 ( subtract 3x from both sides )

2x - 22 = 10 ( add 22 to both sides )

2x = 32 ( divide both sides by 2 )

x = 16

For PQ and RS to be parallel then x = 16

Answer:

(x-2)^2 +(y+5)^2=4^2

Step-by-step explanation:

x minus 2 squared + y plus 5 squared = radius squared

Answer:

(x-2) ^2 + ( y+5)^2 = 16

Step-by-step explanation:

The equation for a circle is given by

(x-h) ^2 + ( y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-2) ^2 + ( y- -5)^2 = 4^2

(x-2) ^2 + ( y+5)^2 = 16

Answer:

61 degrees

Step-by-step explanation:

Considering angle <GJI and <IKD, these two angles are corresponding angles. Recall that corresponding angles are equal hence,

m<GJI = m<IKD = 119 degrees

Again

m<GJI and m<AJG are on a straight line at a point. Recall that the sum of angles on a straight line is 180 degrees. Hence

m<GJI + m<AJG = 180

119 + m<AJG = 180

m<AJG = 180 - 119

= 61 degrees

Answer:

yes it is 5

Step-by-step explanation:

Answer:

5.035 rounded the the nearest whole number is 5.

Answer:

x = -6

Step-by-step explanation:

[tex]x+\frac{2}{3}=\frac{8}{9}x\\\\x = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6[/tex]

Answer:

x = [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{2}{3}[/tex] = [tex]\frac{8}{9}[/tex] ( multiply through by 9 to clear the fractions )

9x + 6 = 8 ( subtract 6 from both sides )

9x = 2 ( divide both sides by 9 )

x = [tex]\frac{2}{9}[/tex]

Answer:

Angles F and H are congruent.

Step-by-step explanation:

Answer:

Angles F and H are congruent.

Step-by-step explanation:

Answer:

1.06 or 1 1/15

Step-by-step explanation:

So, basically what we need to do is reverse the steps.

So now it goes like this:

We start with 1 5/6(1.83)

Then we add 7/18(0.389)

Then we multiply by 1 1/5(1.2)

Then finally, we divide by 2 1/2(2.5)

This will get us our answer. So:

1.83+0.389 = 2.219

2.219*1.2 = 2.6628

2.6628/2.5 = 1.06

This is 1.06 in decimal form, or 1 1/15 in fraction form

Hope this helps!

This can also be double checked, if you plug it into the orginal equation:

1.06, then you multiply by 2.5: 1.06*2.5= 2.6628

2.6628, then you divide by 1.2: 2.6628/1.2= 2.219

Then finally, 2.219 and subtract 7/18: 2.219-0.389= 1.83

So we have double checked, and our answer is still 1.06.

Answer: baby 5

Step-by-step explanation:

5 + 5 = baby 5 BOOM BABY ITS THAT SIMPLE :)

Answer:

mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk

Step-by-step explanation:

dfjdbfjfshdgdsjhdh

Answer:

aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

hee haw i beat u i put more a's in my answer

Answer:

x = 70

Step-by-step explanation:

The two angles are same side interior angles and same side interior angles add to 180

45+ (2x-5) = 180

Combine like terms

2x +40 = 180

Subtract 40 from each side

2x+40-40 =180-40

2x =140

Divide by 2

2x/2 = 140/2

x = 70

Answer:

x=70

Step-by-step explanation:

hope it helped! :)

have a nice day

Answer: [tex]6.2\ cm[/tex]

Step-by-step explanation:

Given

The volume of the sphere is [tex]V=996\ cm^3[/tex]

Volume of sphere is given by [tex]V=\dfrac{4}{3}\pi r^3[/tex]

Insert the values

[tex]\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm[/tex]

Thus, the radius of the sphere is [tex]6.2\ cm[/tex]

Answer:

it's parabola

Step-by-step explanation:

don't worry I did my research on this one:)

Answer:

C

Step-by-step explanation:

Answer:

option c is correct

Step-by-step explanation:

y = 2x +5

5 = 2*0 +5

5 = 0 +5

5=5

y = 2x +5

9 = 2*2 + 5

=9 = 4 +5

9=9

y = 2x +5

13 = 2*4 +5

13 = 8 + 5

13 = 13

therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.

Answer: B) 0.50x+15=25

Step-by-step explanation:

So we know she earns 15 dollars each week and she wants to get 25 dollars.

So far our equation is ?+15=25

For every customer on her paper route she gets $0.50. For 1 customer she'd get $0.50. For 2 she'd get $1. As you can see the customers she gets is multiplied by 0.50 to see how much money she makes. So, for x customers she'd get 0.50x dollars.

So now we can add that to our equation

0.50x+15=25

Answer:

14

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x

Then

(f- g)(- 2)

= 3(- 2)² + 2

= 3(4) + 2

= 12 + 2

= 14

Answer:

Step-by-step explanation:

If cost is directly proportional to speed, then the equation for this is

£ = ks, where k is the constant of proportionality. We need to solve for this first.

400 = k4 so

100 = k. Now we will use that k value in the next equation to find the cost of a 6GHz processor:

£ = (100)(6) so

£ = 600