Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

because the vertex of parabola is f(x)


Related Questions


What is the tangent ratio for ∠A?

Answers

Answer:

1/2

Step-by-step explanation:

The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?

Answers

Answer:

p-150

Step-by-step explanatio

p=precio

reducido=150

se redujo, quiere decir que es "-"

Entonces dice "que expresión presenta el precio reducido"

Entonces sería:

(precio) - (reducido)

p-150

Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.

Answers

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

The graph of a quadratic equation opens down when the value of is negative.

Answers

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:

Which set of numbers could be the length of the sides of a right triangle?
A) {10,24,26}
B) {12,16,30}
C) {3,4,6}
D) {4,7,8}
***YOU DON'T HAVE TO SHOW WORK***

Answers

(A) is the only one that would work

10^2 + 24^2 = 26^2
This is known as Pythagorean theorem

Jasmine draws a circle with a radius of 9x². What is the area of her circle?

Answers

Answer:

Look at the attachment

A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)

Answers

i believe it would be 13, 9

Answer: the answer is C. (9,13)

Step-by-step explanation:

8(y^0) + (-7)(y^0)=________

Answers

Since anything to the power of 0 is 1.

You get

8(1)+(-7)(1)
8-7
1

Answer:

1

Step-by-step explanation:

8(y^0) + (-7)(y^0)

Remove parentheses: (a)=a

= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]

Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]

= [tex]y^{0}[/tex]

Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]

= 1

Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol negative 0.2709 EndLongDivisionSymbol minus 258 = 129. 129 minus 129 = a remainder of 0 and quotient of negative 63. The answer should be Negative 6.3. Sam should have moved the decimal point 3 places to the right in both the divisor and the dividend. The answer should be Negative 630. Sam should have moved the decimal point 5 places to the right in both the divisor and the dividend. The answer should be Negative 65. Sam made an error subtracting 258 from 270. The answer should be Negative 61. Sam made an error when multiplying 6 times the divisor.

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Carbon-141414 is an element which loses exactly half of its mass every 573057305730 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years). We measure that the initial mass of a sample of carbon-141414 is 741741741 grams. Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.

Answers

Answer:

The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Step-by-step explanation:

Radioactive reactions always follow a first order reaction dynamic

Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M

(dM/dt) = -kM (Minus sign because it's a rate of reduction)

(dM/dt) = -kM

(dM/M) = -kdt

 ∫ (dM/M) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.

We obtain

In (M/M₀) = -kt

(M/M₀) = e⁻ᵏᵗ

M(t) = M₀ e⁻ᵏᵗ

Although, we can obtain k from the information on half life.

For a first order reaction, the rate constant (k) and the half life (T) are related thus

T = (In2)/k

The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years

k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year

M(t) = M₀ e⁻ᵏᵗ

k = 0.000121 /year, M₀ = 741 grams

The equation then becomes

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Hope this Helps!!!

Answer:

M(t)=741*(1/2)^t/5730

What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)

Answers

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

Which one is greater 1 4/5 or 21/12

Answers

Answer:

I think 21/12

Step-by-step explanation:

hope it works out,!!

Answer:

Here is the answer 21/12

Step-by-step explanation:

to break 21/12 into a fraction we need to subtract, add a whole.

21-12 is 9  1 9/12

now we need to find a gcf for only 9/12 but divide

this is because the gcf of 4/5 is only 1 so we can’t use it

the gcf for 9/12 is 3

9/12 divided by 3 is 3/4

to know what’s greater I use the butterfly trick Which is sideways multiplying

3.       4

-         -

4         5

3 x 5 is 15

4 times 4 is 16

below the 16 should be 4/5

and if you look all the way at the top, it started as 21/12

so it is 21/12

help i still dont understand

Answers

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

Please help me!!! :(

Answers

Answer:

Green Material: 129.6 in³

Brown Material: 194.4 in³

Step-by-step explanation:

The volume of the bin is 4×18×9 in³ or 648 in³

20% of 648 is 129.6 in³ (brown material)

30% of 648 is 194.4 in³ (green material)

Arrange the following ratios in descending order: 2:3, 3:4, 5:6, 1:5 5:6 > 3:4 > 2:3 > 1:5 1:5 > 2:3 > 3:4 > 5:6 2:3 > 1:5> 5:6 > 3:4 5:6 >1:5 > 3:4 > 2:3

Answers

Answer:

Option A.

Step-by-step explanation:

The given ratios are 2:3, 3:4, 5:6, 1:5.

We need to arrange these ratios in descending order.

Fraction form of given ratios are

[tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{5}{6},\dfrac{1}{5}[/tex]

First find LCM of denominators.

[tex]LCM(3,4,6,5)=60[/tex]

Now, make denominator common, i.e., 60.

[tex]\dfrac{2\times 20}{3\times 20},\dfrac{3\times 15}{4\times 15},\dfrac{5\times 10}{6\times 10},\dfrac{1\times 12}{5\times 12}[/tex]

[tex]\dfrac{40}{60},\dfrac{45}{60},\dfrac{50}{60},\dfrac{12}{50}[/tex]

Now, arrange numerator in descending order.

[tex]50>45>40>12[/tex]

[tex]\Rightarrow \dfrac{50}{60}>\dfrac{45}{60}>\dfrac{40}{60}>\dfrac{12}{50}[/tex]

[tex]\Rightarrow \dfrac{5}{6}>\dfrac{3}{4}>\dfrac{2}{3}>\dfrac{1}{5}[/tex]

[tex]\Rightarrow 5:6>3:4>2:3>1:5[/tex]

Therefore, the correct option is A.

If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)

Answers

Answer:

the answer is (6, -4)

Step-by-step explanation:

The equation d = 3sin (16t) measures the displacement of a swinging object in simple harmonic motion.
t is measured in
seconds and d is measured in inches.
What is the displacement to the nearest inch, when t = 10? NOTE: The angle is in
radians.
Provide your answer:
d=
inches​

Answers

Answer:thats hard

Step-by-step explanation:

Answer the question below

Answers

Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

Evaluate the expression for x = -3.
x + 4x + 3
-18
B -16
C 0

Answers

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]

HELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED

Answers

Answer:

Large Pizza

Step-by-step explanation:

Rewarded with what? :P

Anyway,

The area of a circle is pi*r^2. Additionally, the radius is half the diameter.

The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.

The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.

Clearly 72pi is less than 81pi, so the Large Pizza is biggest.

Hope that helped,

-sirswagger21

(oh yeah and btw give me a million bucks for the reward ty :v)

Simplify the following polynomial expression. 3x( 4x+5) -4 (-x-3) (2x -5)

Answers

Answer:

20x^2 +19x - 60

Step-by-step explanation:

3x( 4x+5) -4 (-x-3) (2x -5)

Distribute

12x^2 +15x - 4 (-x-3) (2x -5)

FOIL

12x^2 +15x - 4( -2x^2 -6x +5x +15)

12x^2 +15x - 4( -2x^2 -x +15)

Distribute

12x^2 +15x +8x^2 +4x -60

Combine like terms

20x^2 +19x - 60

Answer:

20x ^2 + 19x -60

Step-by-step explanation:

12345678910121314151617181920

if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)

Answers

Answer:

work is shown and pictured

A line goes through points (-2, 18) and (4, 3). What is the slope of the line?

A. 12

B. -1.25

C. -2.5

D. -5

Answers

Answer:

-2.5

Step-by-step explanation:

The slope can be found by

m = (y2-y1)/(x2-x1)

   = (3-18)/(4- -2)

   = -15/(4+2)

    =-15/6

    = -5/2

     -2.5

Answer:

C. -2.5

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-2,18) and (4,3).

[tex]m=\frac{3-18}{4-(-2)}= \frac{-15}{6} =-\frac{15}{6}= -\frac{5}{2}[/tex]

The options are given in decimals.

[tex]-5/2=-2.5[/tex]

Option C is the correct answer.

WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Output 1 2 3 2 5 3 Table C Input Output 0 0 1 2 1 3 Table D Input Output 4 2 4 3 4 4 Table A Table B Table C Table D

Answers

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

What is the radius of a circle with a circumference of 23.55 feet

Answers

Answer:

Thanks for question. I am working my way up to more brainliest and Master Answerer. Every question/point helps

The equation for circumference is x = pi*2*r

First divide by 2 then divide by pi to get r. Use algebra to get this explanation. so 23/2/pi = 3.66. Thats the radius.

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?

Answers

Answer:

F(2, 11/2)

Step-by-step explanation:

The expression:

(x-2)² = 10(y - 3)

can be rewritten in the vertex form as follows:

(x-2)² = 10y - 30

(x-2)² + 30 = 10y

1/10(x-2)² + 3 = y

General vertex form is:

y = a(x-h)² + k

then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10

The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:

p = 1/(4*1/10) = 5/2

F(2, 3+5/2) = F(2, 11/2)

Answer:

C is the answer

Step-by-step explanation:

I'm never wrong.

Multiply. Your answer should be a monomial in standard form. {(-t^7)(-t^5)}

Answers

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.

Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7

Answers

Answer: the answer is c. 3

Step-by-step explanation:

Subtract 4x from 7x

3x-2=7

Then add 2 to 7

3x=9

Then divide 3 by 3x and 9 by 3

X=3

c. The value of x is 3

What is line segment ?

A line segment is a part of straight line measured between two points.

A line segment always have a definite length.

What is the value of x ?

Given, a line segment contains points A, B, C in order.

Also the point B is the middle point of AC.

Hence, we can say that, AB = BC  ......(1)

Here, AB = 7x-2 & BC = 4x+7

Therefore, from (1) we get,

7x-2 = 4x+7

⇒ 7x-4x = 7+2

⇒ 3x = 9

⇒ x = 3

The value of x = 3

Learn more about Line segment here :

https://brainly.com/question/280216

#SPJ2

Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2

Answers

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

Given that

[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]

Let's solve now

[tex]a - b - c[/tex]

[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]

Given

a = 4

b= -2

c= 8

To find out:

Find the value of a - b - c ?

Solution:

a - b - c

Putting the value in the above

4 - ( - 2 ) - 8

4 + 2 - 8 [ - - = + ]

6 - 8

-2

what is the answer for n ?

Answers

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

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