F(x) = -2x^2 + 6x-3, opens (down or up) and has a (maximum or minimum) value

Answers

Answer 1

Answer: D

Step-by-step explanation:

(Using the formula in my attachment)

x^2 − 6x + 19

(x - 3)^2 = x^2 - 6x + 9

9 - e = 19

e = -10

(x - 3)^2 - e

(x - 3)^2 - - 10

(x - 3)^2 + 10

when x - 3 = 0, x = 3

Subsitute 3 into the equation

(3 - 3)^2 + 10

0 + 10

Minimum (3,10) in this case f(3) = 10


Related Questions

6200 divided by 163 i need the answer or ill fail

Answers

Answer:

38.04

Step-by-step explanation:

6200/163= 38.036809816

Since after the 3 is a 6 which is over 5 you can round the 3 up to a 4 and cut everything else off.

Hope this helps. Plz give brainliest.

6200 divided by 163 is equal to 38 with a remainder of 6.

We have,

The concept used to divide 6200 by 163 is a long division.

Long division is a method of dividing two numbers by repeatedly subtracting multiples of the divisor from the dividend until the remainder becomes smaller than the divisor.

It involves dividing digit by digit, starting from the leftmost digits of the dividend and moving towards the right.

Now,

To divide 6200 by 163, we perform a long division.

Here's how it works:

       38

  __________

163| 6200

      4890

      ______

      1310

      1304

      ______

         6

The quotient is 38, and the remainder is 6.

Therefore,

6200 divided by 163 is equal to 38 with a remainder of 6.

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Find g(6) when g(x) = x2-5

Answers

Answer:

g(6) = 31

Step-by-step explanation:

If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.

g(6) = 6^2 - 5

g(6) = 36 - 5

g(6) = 31

Answer:

g(6)=31

Explanation:

We are given the function:
g(x)=x^2-5
We want to find g(6), therefore we should substitute 6 in for each x in the function.
g(6)=(6)^2-5
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Evaluate the exponent. 6^2 is equal to 6*6 which is equal to 36.
g(6)=36-5
Subtract 5 from 36.
g(6)=31

g(6) is equal to 31 for the function g(x)=x^2-5


A model rocket is launched from the roof of a building. Its flight path is modeled
by h = -5t^2 +30t +10 where h is the height of the rocket above the ground in
metres and r is the time after the launch in seconds.
What is the rocket's maximum height?

Answers

Answer:

55

Step-by-step explanation:

This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]

What is the equation of the line graphed below?

Answers

show the lined graph

Find the common difference of the arithmetic sequence 4,2,0,...

Answers

Answer:

d=-2 is the difference

The common difference is -2. Don’t forget to put the negative sign when the sequence is descending.

A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 7 students' scores on the exam after completing the course: 37,12,12,17,13,32,23 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to one decimal place.

Answers

Answer:

The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Step-by-step explanation:

The net change in 7 students' scores on the exam after completing the course are:

S = {37 ,12 ,12 ,17 ,13 ,32 ,23}

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]

As the population standard deviation is not known, a t-interval will be formed.

Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]

*Use a t-table.

Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]

     [tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]

Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Write the expanded form of the expression.
y(0.75+4)​

Answers

Answer:

25

Step-by-step explanation:

Answer:4.75y

Step-by-step explanation:

Find the measure of the third angle of a triangle given the measures of two angles.
34 and 88

Answers

Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

A local road rises 15 feet for every 309 feet of highway . What is the slope of the highway

Answers

The slope is =0.0485

How do you know if a sum or product will result in a rational or irrational number?

Answers

The sum of two irrational numbers will be a rational but if the irrational parts of the numbers have a zero sum or cancel each other out the sun will be rational

The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?

Answers

x = measure of the angle

180 - x = measure of supplement {supplementary angles add up to 180}

x = 74(180 - x) {measure of the angle is 174 times the supplement}

x = 13,320 - 74x {used distributive property}

75x = 13,320 {added 74x to each side}

x = 177.6 {divided each side by 177.6}

the angle is 177.6

the supplement is 2.4

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

Which of the following is the equation of the line that is parallel to
y= 3/5x+ 8 and goes through point (-10,4)?
Select one:
a. y = 5/3x + 20 2/3
b. y=-5/3x – 12 2/3
c.y= 3/5x + 10
d. y = -3/5x-2

Answers

Answer:

C

Step-by-step explanation:

We want to write the equation of a line that is parallel to:

[tex]y=\frac{3}{5}x+8[/tex]

And also passes through (-10, 4).

Remember that parallel lines have the same slope.

The slope of our old line is 3/5.

Therefore, the slope of our new line is also 3/5.

We know that it passes through (-10, 4). So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute 3/5 for m and let (-10, 4) be our (x₁, y₁). This yields:

[tex]y-(4)=\frac{3}{5}(x-(-10))[/tex]

Simplify:

[tex]y-(4)=\frac{3}{5}(x+10)[/tex]

Distribute on the right:

[tex]y-4=\frac{3}{5}x+6[/tex]

Add 4 to both sides:

[tex]y=\frac{3}{5}x+10[/tex]

So, our answer is C.

And we're done!

Step-by-step explanation:

Hey there!

The equation of a st.line passing through point (-10,4) is ;

(y-y1)= m1(x-x1) [one point formula]

Put all values.

(y - 4) = m1( x + 10)..........(i)

Another equation is; y = 3/5 + 8.............(ii)

From equation (ii)

Slope (m2) = 3/5 [ By comparing equation with y = mx+c].

As per the condition of parallel lines,

Slope of equation (i) = slope of equation (ii)

(i.e m1 = m2 )

Therefore, the value of m1 is 3/5.

Putting value of slope in equation (i).

[tex](y - 4) = \frac{3}{5} (x + 10)[/tex]

[tex](y - 4) = \frac{3}{5} x + \frac{3}{5} \times 10[/tex]

[tex](y - 4) = \frac{3}{5} x + 6[/tex]

[tex]y = \frac{3}{5} x + 10[/tex]

Therefore the required equation is y = 3/5x + 10.

Hope it helps...

the distribution of the diameters of douglas fir trees in a plot of national forest land is approximately normal with a standard deviation of 1.6 inches. how does the diameter of a douglas fir tree in the 28th percentile compared with the mean diameter

Answers

Answer:

1.0

Step-by-step explanation:

this is a aplication of the terms

3 questions on percentage ❤️

Answers

Answer:

Question 1: 131.25 Question 2: 83.33 Question 3. 133.33

Step-by-step explanation:

1. 131.25% x 150

2. Trial and error

3. 60 ÷ 45%

At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD
(Diagrams are not to scale)

AD= ? ft

Answers

Answer: 300ft

Step-by-step explanation:

Coach Brown made 50 pints of Gatorade for his team. How many gallons did he make?

Answers

Answer:

6.25 gallons

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

What is 1 over 4 multiplied by 7 over 2

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

1/4 x 7/2

First, let's convert each fraction into percentages.

1/4= 25%

7/2= 350%

Now just multiply them together.

25x350= 8750

Convert it back into a fraction.

8750% = 175/2 = 871/2 as a fraction.

Hope this helps!

44 plus 48 distributive property

Answers

Answer:

92

Step-by-step explanation:

44 plus 48 can be rewritten as:

4(11 + 12), which, in turn, simplifies to:

4(23), or 92

Next time, please include all of the instructions.  Thank you.

what letter grade is a 38/49

Answers

Answer:77%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because if you multiply 38/49, it would be 76/98. and 76 is a letter c, but if i am wrong its b.

Do you like a newspaper has letters to the editor for 60 people. If it’s number represents 5% of all the newspaper readers how many readers of the newspaper have

Answers

Answer:

5÷100

=0.05

0.05×60

=3

Answer:

1200 readers

Step-by-step explanation:

Let x = number of readers

x* 5% = 60

Change to decimal form

x* .05 = 60

Divide each side by .05

x * .05/.05 = 60/.05

x =1200

how to solve
2(x+4)=2x+5​

Answers

Step-by-step explanation:

2x+8=2x+5

2x-2x=15-8

0x=7

6th grade math i mark as brainly​

Answers

Step-by-step explanation:

i mean I never did that in six grade

The opposite of negative 50

Amanda has completed 68 deliveries so far this week. She needs to make 85 deliveries for the week. What percentage of her deliveries has Amanda completed?
0

Answers

She has completed 80%

Which lists all the multiples of 8 that are less than 50?

A. 2, 4, 8
B. 4, 8, 12, 16, 24, 32, 40, 48
C. 8, 16, 24, 32, 40, 48
D. 8, 16, 24, 32, 40, 48, 56

Answers

Answer:

Its the third one 8, 16, 24, 32, 40, 48

Step-by-step explanation:

They all are multiples of 8 and are not more than 50

Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row.

Find the ratio of pink flowers per white flower per row

Answers

Answer:

3 : 2.

Step-by-step explanation:

18 : 12     Divide both values by 6:

= 3 : 2.

Answer:

Step-by-step explanation:1.5

Can someone explain how to solve these? I have 10 questions I need to answer for problems like this & I can't go on until I solve it, so I just need the answer for this one and how to solve it. I need it finished fast because I need to bring up a low grade. Any help would be appreciated.

Answers

the value of x is 32°. i believe they’re called internal inverses? it’s because lines m and n are parallel. i’m not sure how else to explain, hope this helped!

You have discovered another alien. Find the correct rescue path before answering this question. When the spaceship starts from a point on the y axis, what is the y-intercept of the line of travel? the x-coordinate of the spaceship the y-coordinate of the spaceship the y-coordinate of the alien the distance from the spaceship to the alien

Answers

Answer:

the y-coordinate of the spaceship

Step-by-step explanation:

It's what it said on edge

Answer

b

Step-by-step explanation:

Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?

Answers

Answer:

It is 60%

Step-by-step explanation:

84.50 x 0.60% = 50.7 (also 50.70)

I hope my answer helps even though I am in middle school :)

The required percent decrease in the price of the skateboard is 40%.

The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%

Thus, the required percent decrease in the price of the skateboard is 40%.

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What is five times the difference of a number and three?

Btw I need answer immediately

Answers

Answer:

t=x+3

y = (x+3)^2 + 5

y = x^2+6x + 9 + 5

y= x^2 + 6x + 14

Answer:

5 times x-3?

Step-by-step explanation:

Sorry if its wrong i didn't really understand what you wanted.

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