Identify the vertex:
f (x) = -x^2+ 10x

answer:

a. √36

step-by-step explanation:

√36 = rational — the answer to this is 6 and it is a whole number

-√12 = -3.46410161514... — it is repeating without an order so irrational

5/0 = irrational — the denominator cannot be a 0

π = irrational — pi is always irrational

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

Answer:

11/15

Step-by-step explanation:

P('Y' or 'R') = 5/15 + 6/15 which is 11/15

Answer: B & D

Step-by-step explanation:

Answer:

77 dogs

33 cats

Step-by-step explanation:

7+3 = 10

110 ÷ 10 = 11

11 x 7 = 77

11 x 3 = 33

Answer:  I think it’s Area of the new park is 602000 yd

Answer:

90,375 yd^2

Step-by-step explanation:

A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.

30,125 * 3 = 90,375 yd^2

Answer:

The answer is below

Step-by-step explanation:

a) The speed of the car during the first 10 seconds is equal to the slope of the line AB. The line AB passes through (0, 0) and (10, 200)

slope = (200 - 0)/(10 - 0) = 20 m/s

The speed of the car during the first 10 seconds is 20 m/s

b) The time for the car to move from point A to point D = 60 seconds

c) Distance from point A to B = 200 m, distance from C to D = 500 - 200 = 300 m, distance from B to C = 20 m/s * 20 s = 400 m

Total distance from A to D = 200 + 400 + 300 = 900 m

Average speed = total distance / total time = 900 m / 60 seconds = 15 m/s

d) line BC is flat because the car moves at a constant speed from point B to point C. That is the speed does not change.

Answer:

1/3

Step-by-step explanation:

2/8 ÷ 3/4

Copy dot flip

2/8 * 4/3

Simplify

2*4  / (8*3)

8/24

1/3

Answer:

0.333333333333 should be the answer, hope this helps!

equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,

so in first box - h

in second box - k

after equal to box = r²

Answer:

The answers that would be put into the question box's are: 3, 2, and 16:

(x - 3)^2 + (y - 2)^2 = 16 :)

Hope this helps

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

From the question, we have the total number of sampled students as 30

9 students said 7 was their favorite

So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents

We have this as;

9/30 = 3/10

Answer:

Answer is in bold.

Step-by-step explanation:

Factor 3x2a2 − 5xa2 − 2a2.

3x2a2 − 5xa2 − 2a2=  

a2(3x2 − 5x − 2)=

a2((x-2)*(x+(1/3)))

Part B: Factor x2 − 10x + 25.

x2 − 10x + 25.= (x-5)*(x-5)

Part C: Factor x2 − 81.

x2 − 81=(x-9)*(x+9)

[tex]x^{2}[/tex]-81

[tex]x^{2}[/tex]+9x-9x

Decimal form is 3.96811878

Answer:

pressure is force/area

Step-by-step explanation:

answer is 15/30. here's the equation. P=F/A

Answer:

0.2N/m^2

Step-by-step explanation:

P = Force / Area

P = 15N / 30m^2

P = 0.2 N/m^2

Answer:

[tex]f = \frac{720}{11}[/tex]

Step-by-step explanation:

Given

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation

[tex]f = 60; T = 121; L = 12[/tex]

Required

Find f, when T =81; L = 9

We have:

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]

Express as equation

[tex]f = k\frac{\sqrt T}{L}[/tex]

Make k the subject

[tex]k = \frac{fL}{\sqrt T}[/tex]

When [tex]f = 60; T = 121; L = 12[/tex]

[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]

[tex]k = \frac{60 * 12}{11}[/tex]

[tex]k = \frac{720}{11}[/tex]

To solve for f, when T =81; L = 9

We have:

[tex]f = k\frac{\sqrt T}{L}[/tex]

[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]

[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]

[tex]f = \frac{720}{11} * 1[/tex]

[tex]f = \frac{720}{11}[/tex]

Answer:

A

Step-by-step explanation:

theres 3 ( x³, -3x, 3)

Answer:

A) x² - 3x + 3

Step-by-step explanation:

A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.

In other words, a trinomial is a polynomial consisting of three monomials.

Answer:

x = 15

Step-by-step explanation:

cross multiply -->

8x = 120 *divide by 8 on both sides*

x = 15

CHECK:

5/8 + 15/24

multiply by 3 to get the second fraction

Answer:

x=15

Step-by-step explanation:

Answer:

y = -13x - 1

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify variables

Slope m = -13

y-intercept b = -1

Step 2: Find Equation

Step-by-step explanation:

the area of :

1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)

= 4.90625 + 11.775 = 16.68125 m²

2) upper side surface= (3.14 × (1.35²-1.25²))

= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²

3) lateral surface= 3.14×2.7×1.6=13.5648m²

the total amount of vinyl required for the spa =

16.68125+0.8164+13.5648 = 31.06245 m²

Answer:

24.

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 24.

Given:

In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle UWY=91-7x[/tex]

To find:

The measure of angle XYV.

Solution:

Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.

If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.

[tex]\angle XYV \cong \angle UWY[/tex]         [Corresponding angle]

[tex]m\angle XYV=m\angle UWY[/tex]

[tex]7x+21=91-7x[/tex]

We need to solve this equation for x.

[tex]7x+7x=91-21[/tex]

[tex]14x=70[/tex]

[tex]x=\dfrac{70}{14}[/tex]

[tex]x=5[/tex]

Now,

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle XYV=7(5)+21[/tex]

[tex]m\angle XYV=35+21[/tex]

[tex]m\angle XYV=56[/tex]

Therefore, the measure of angle XYV is 56 degrees.

Answer:

Step-by-step explanation:

according to the question equation is

5x+8+3x=26+6x

8x+8=26+6x

8x-6x=26-8

2x=18

x=18/2

x=9

Answer:

x=9

Step-by-step explanation:

Answer:

I believe it would be B. SAS

Step-by-step explanation:

You have two sides and one angle that are congruent in both

Answer:

The slope is 2.

Step-by-step explanation:

Answer:

118.63

Step-by-step explanation: