if a and b are zeros of the polynomial f(x) = 5x^2+4x-9 then evaluate the following :a^3-b^3.​

Answer:

Answer = he made 7,000 in July and sold 10 cars in august.

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

The equation modeled by this throw is

-16t^2+8t+2

Using the vertex x coordinate formula of -b/2a,

we find that the x coordinate of the vertex is 0.25. Subbing 0.25 seconds for t into -16t^2+8t+2, we find out that the y value of the vertex is 3. This means the highest point reached by the ball is 3 feet and this takes 0.25 seconds

Answer:

2? equation does not have a solution

Step-by-step explanation:

Answer:

$127.875

Step-by-step explanation:

cost of 3 pizzas= $15*3

cost of 3 pizzas=$45

cost of 15 drinks=$1.50*15

cost of 15 drinks=$22.5

cost of 6 nachos=$5.80*6

cost of 6 nachos=$34.8

Total cost = pizza cost+ drinks+nachos

total cost=$45+$22.5+$34.8

total cost=$102.3

Now ,

Tip cost=$102.3*20%

=$20.46

tex cost=$102.3*5%

=$5.115

Bill which all friends pay=total cost+ tip cost+tex cost

= $102.3+$20.46+$5.115

=$127.875

Answer:

15

Step-by-step explanation:

rises 8 floors = 15 + 8 = 23

drops 10 floors = 23 - 10 = 13

rises 2 floors = 13 + 2 = 15

Answer:

m=11/3,y intercept is (0,-18)

Step-by-step explanation:

-3y=54-11x

y=-18+11/3x

the slope is 11/3

the y intercept is (0,-18)

Answer:

Sorry

Step-by-step explanation:

For my Poor H. And Coordinates

Answer:

[tex] \sin(45 ) = y \div 11 \sqrt{6} [/tex]

[tex] \frac{1}{ \sqrt{2} } = \frac{y}{11 \sqrt{6} } \\ \\ y = \frac{11 \sqrt{6} }{ \sqrt{2} } \\ y = 11 \sqrt{3} [/tex]

[tex] \tan(60) = \frac{x }{11 \sqrt{3} } \\ \\ \sqrt{3} = \frac{x}{11 \sqrt{3} } \\ x = \sqrt{3} \times 11 \sqrt{3} \\ x = 33[/tex]

Answer:

2nd one

Step-by-step explanation:

as it is a negative number so the point on the number line should move backwards

Answer: x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

The quadratic equation is

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

and

[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

and

[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, [tex]\frac{1}{5\\}[/tex]

Answer: 39/14

Step-by-step explanation:

Given

5 2/7 - 2 2/4

Convert mixed fraction to improper fraction

5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7

2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2

Find the common denominator for 37/7 and 5/2

First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

First 5 multiples of 7 = 7, 14, 21, 28, 35

Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2

Convert to the common denominator

(37 × 2) / (7 × 2) = 74 / 14

(5 × 7) / (2 × 7) = 35 / 14

Simplify by subtraction of numerator

=74/14 - 35/14

=(74 - 35) / 14

=[tex]\boxed{\frac{39}{14} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 8

Step-by-step explanation:

Since all the angles are congruent, this is an equilateral triangle. With an equilateral triangle, all sides are equal.

Answer:

x = 1 , x = 1/5

Step-by-step explanation:

Answer:

90 males

Step-by-step explanation:

3 males plus 9 females is 12 overall.

360/12 is 30 for each "1".

30 multiplied by 3 males is 90 males.

Hopefully that made sense. Sorry I'm bad at explaining.

Answer: Yes, (x+4) is a factor of the given polynomial.

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

Explanation:

We can use the remainder theorem here.

Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.

The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.

Then plug this k value into the p(x) polynomial given

p(x) = 2x^3 + 16x^2 + 22x - 40

p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40

p(-4) = 2(-64) + 16(16) + 22(-4) - 40

p(-4) = -128 + 256 - 88 - 40

p(-4) = 0

This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).

Step-by-step explanation:

The answer is a option.

hope it helps

Answer:

The perimeter of the rectangle is 28m

Step-by-step explanation:

Perimeter of a square = 4 x side length

20 = 4 x side length

side length = 20/4 = 5m

width of rectangle = 5m

length of rectangle = 9m

Perimeter of rectangle = 2(l + w)

= 2(9 + 5)

= 2(14)

= 28m

answer

−>0(1+5)/2

hope it helps

The solution is : Option A is correct; Point Q is outside circle W

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

If the circle is given as having center W, this means  the radius starts from point W and ends at any point on the circumference.

The radius has been given as 5 units, and this also means any measurement from point W to the circumference is either equal to or less than the radius which is 5 units.

Any measurement that is greater than 5 would be outside of the circumference.

we have,

Point Q is 6 units away from point W, therefore point Q is outside the circumference, that is, outside circle W.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

complete question:

Circle W has a center of point W and a radius of 5 units. Point Q is 6 units away from point W. Where is point Q?

A)outside circle W

B)inside circle W

C)on circle W

D)cannot be determined

Answer:

Step-by-step explanation:

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

Answer:

1/2 is the answer because its half

Answer:

1 / 2

Step-by-step explanation:

10 is to 5 as  10 (5/10) = 50/10 = 5

8 is to 4 as 8 ( 4/8 ) = 32/8 = 4

6 is to 3 as 6 ( 3/6 ) = 18/6 = 3

Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.

Answer:

Formula

V=a^2h/3

a is the base area

h is the height

V= 16^2×15/3

V=1280cm^3

Answer:

20-(30-50)×10

20 - × - 20 ×10

20+20×10

20+200

220

2/5(4) + 2/5(10y)

8/5 +20y/5

8/5 + 4y

Answer:

8/5 + 4y

Step-by-step explanation:

[tex]\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y[/tex]

Answer:

below

Step-by-step explanation:

I'm not sure what variable you want to solve for but I'll solve for w and m if needed.

p = wm

~Divide w to both sides

p/w = m

p = wm

~Divide m to both sides

p/m = w

Best of Luck!

Recall the definition of absolute value:

• |x| = x if x ≥ 0

• |x| = -x if x < 0

So we have 2 cases to consider:

• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have

4 - 3x = 5x + 4

8x = 0

x = 0

• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives

3x - 4 = 5x + 4

2x = -8

x = -4

However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes

5(-4) + 4 = -20 + 4 = -16 < 0

so the solution in this case is extraneous.