What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x - 7)
f(x) = (x + 2)(x + 7)
f(x) = (x - 3)(x + 7)
f(x) = (x+3)(x-7)

Answer:

B The graph of g(x) is the graph of f(x) shifted to the right 6 unit

Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

[tex]f(x) =10^{x}[/tex]

[tex]g(x)=f(x-6)=10^{(x-6)}[/tex]

f(x)  shift right 6 units to get f(x-6)

Given that

g(x) = f(x-6)

Therefore graph of g(x) is the graph of f(x) shifted to the right 6 units

Hence, Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

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Answer:

121

Step-by-step explanation:

5 Raise to the power of 3

125-4=

121

Answer:

Step-by-step explanation:

121 simplify the equation

Answer:

[tex]\frac{1}{6}\\[/tex]

Step-by-step explanation:

To find the probability, divide the number of desired outcomes by the total:

This will be 3/18, since there are 3 convertibles and there are 18 total cars

Simplify 3/18

= [tex]\frac{1}{6}[/tex]

Answer:

2.15 seconds

Step-by-step explanation:

Given the equation of the height (in feet) of the ball above the ground t seconds after a shot is released from your hand modeled by the function

f(t)= -16t² + 32t + 5.2 where t is in seconds.

Note that the value of the height at the point the ball is released from the hand is 0 feet.

To get value of t when the ball is released from your hand, we will substitute f(t) = 0 into the modeled equation as shown;

f(t)= -16t² + 32t + 5.2

-16t² + 32t + 5.2 = 0

Multiply through by 10

-160t² + 320t + 52 = 0

Dividing through by -4

40t² - 80t - 13 = 0

t = 80±√80²-4(40)(-13)/2(40)

t = 80±√6400+2080/80

t = 80±√8480/80

t = 80±92.09/80

t = 80+92.09/80

t = 172.09/80

t = 2.15 secs

Hence, the value of t when the ball is released from your hand is approximately 2.15seconds.

Answer:

First term is [tex]\frac{3}{2}[/tex].

Common difference: -1

Step-by-step explanation:

Given the sequence:

[tex]\frac{3}{2} , \frac{1}{2} , -\frac{1}{2}, -\frac{3}{2}, ...[/tex]

we notice that one term is generated from the previous one by subtracting from it "1". That means that the common difference for this sequence is "-1", and its first term is [tex]\frac{3}{2}[/tex].

Answer:

3140

Step-by-step explanation:

If they made 314 kilometers per day and they worked for 10 days, multiply:

[tex]314*10=3140[/tex]

The total length of the road is 3,140 kilometers.

Answer:

1st or each day=314km

Let x in km be the total km for 10 days

10=x

>314×10=x

X=3140km

Therefore, for 10days, the road constructed was 3140km

Answer:

) 3.3

2) 1.7

3) 8.8

4) -8.55

5) 3.22

6) 7.48

Step-by-step explanation:

Answer:

Lines p and t are parallel, so the alternate exterior are congruent; x = 130

Step-by-step explanation:

hope you like it it :) god bless you all

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The correct answer is 2. Lines q and r are parallel, so the interior angles are supplementary; x = 130

The types of transversal angles are as follows

Option 1. is incorrect because Lines p and t are not parallel

Option 3 is incorrect because alternate exterior angles is x= 130°

Option 4 is incorrect  because x is not corresponding angle to 50°

Hence , Option 2 is correct and rest options are incorrect.

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Step-by-step explanation:

Hey, there!!

You can get your answer simply, just remember the two point formula,

Given, the points are (0,2),(8,8).

We have, Formula for two points is,

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

Put all values here,

[tex](y - 2) = \frac{8 - 2}{8 - 0} (x - 0)[/tex]

[tex](y - 2) = \frac{6}{8} (x -0)[/tex]

[tex](y - 2) = \frac{3}{4} (x - 0)[/tex]

multiply (y-4) by 4 and (x-0) by 3.

[tex](4y - 8) = 3x[/tex]

Bringing 4y and -8 on same side of 3x.

[tex]0 = 3x - 4y + 8[/tex]

[tex]or \: 3x - 4y + 8 = 0[/tex]

Therefore, 3x-4y+8=0..... is the required equation.

Hope it helps..

Step-by-step explanation:

angle ACB=75° (being inscribed angle)

Angle BCD=105° (sum of straight line)

angle BCD + angle BQD=180° (opposite angle of quadrilateral inscribed in circle is supplemetry)

105° + x =180°

x= 75°

Answer:

x = 15 and y = 30

Step-by-step explanation:

We see that 4x + 15 + 5x + 30 = 180.

We can solve for x:

9x + 45 = 180

9x = 135

x = 15.

We also see that 5x + 30 is equal to 3y + 15, so we can solve for y:

5x + 30 = 3y + 15

5 (15) + 30 = 3y + 15

3y = 75 + 30 - 15

3y = 90

y = 30.

Answer:

36 * 3 - 12 * 6 * 1 = 36

Step-by-step explanation:

36 * 3 - 12 * 6 * 1 = 36

Answer:

opens UP and has a minimum value.

Step-by-step explanation:

The given quadratic function opens UP (the branches of the associated parabola open up) because the coefficient that accompanies the leading term (leading coefficient) is positive.

Since the graph is a parabola with arms pointing up, the graph should have a minimum located at the vertex of the parabola.

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

Answer:

The answer is 11

Step-by-step explanation:

got `100%

Answer:

m=5/6

Step-by-step explanation:

arrange all the "m's" at the left side and the numbers at the right side doing that we get

m-m+m=1-2/3+1/2

m=5/6

Answer:

  2550 ft

Step-by-step explanation:

The difference between 2550 ft and 0 ft is 2550 ft.

The balloon must descend 2550 ft to reach an altitude of 0 ft.

Answer:

B

Step-by-step explanation:

34-12=22

34+(-12)=22

+x- = -

+x+ = +

-×-= +

Answer:

1 ⁵/2........ .......

.

Answer:

Step-by-step explanation:

[tex]\frac{15}{2}=7\frac{1}{2}[/tex]

Answer:

8x+2y+2

Step-by-step explanation:

First, write it out as it's given:

3y+2+3x-y+5x

Then, combine the x-terms first:

3y+2-y+8x

Next, combine the y-terms:

2+2y+8x

Answer:

B

Step-by-step explanation:

Answer:

6 1/4 cup of soda for one cup of pineapple

Step-by-step explanation:

2/ 5 of pineapple for every 2 1/2 cups of soda

1 cup of pine apple         ??

(2 1/2)/(2/5)

5/2 ÷2/5    ( when divide fraction,change ÷ to × and flip the fraction (reciprocal)

5/2×5/2=25/4   or  6 1/4

Answer:

Step-by-step explanation:

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x) add g(x) to f(x)

That's

We have the final answer as

Hope this helps you

Answer:

[tex]\Large \boxed{(f + g)(x) = 4x - 2}[/tex]

Step-by-step explanation:

We have two functions.

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x), we have to find the sum of f(x) and g(x).

(f+g)(x) = f(x) + g(x)

(f + g)(x) = 7x - 4 + -3x + 2

Combining like terms.

(f+g)(x) = 7x - 3x - 4 + 2

(f + g)(x) = 4x - 2

Answer:

100/250*100= 40%

Step-by-step explanation:

40%

2 1/2m = 250 cm

250cm .............100%

100cm ..................x%

x = 100cmx100%/250 cm

= 10000%/250

= 40%

Answer:

Solution : (36, 42)

Step-by-step explanation:

It mention that the image is dilated by a scale factor of 6, and hence we will have to multiply each coordinate by 6 to receive the dilated point. Here we only want the dilation of point B,

B' = (6 [tex]*[/tex] 6, 7 [tex]*[/tex] 6) = (36, 42)

If quadrilateral ABCD is dilated by a scale factor of 6, then the coordinates of point B' are (36, 42).

Answer:

5(3x)-7y^2.

5(3×3)-7(2×2).

45-28=17.

Answer:

B.  all real numbers

Step-by-step explanation:

The domain is the values for the input

The values that x takes for this function is all real values

The Answer Is:

All Real Numbers