FIND THE VERTEX AND GRAPH THE PARABOLA OF
F(x) = -2X^2 - 8X + 3

(minus 2x squared minus 8x plus 3)

Answers

Answer 1

════════ ∘◦❁◦∘ ════════

Answer : (-2,11)

════════════════════

Known that

y = -2x² - 8x + 3

════════════════════

Way to do + explanation

#First, find the x coordinate first by using the formula of -b/2a

x = -b/2a = -(-8)/2(-2) = 8/-4 = -2

#After getting the x, find the y

y = -2(-2)² - 8(-2) + 3

y = -2×4 +16 + 3

y = -8 + 16 + 3

y = 11

So the vertex is

(-2,11)

════════════════════

Answer 2

Answer:

the vertex is (-2, 11)

Step-by-step explanation:

F(x) = -2X^2 - 8X + 3 can be rewritten as -2(x^2 + 4x) + 3.

We complete the square of x^2 + 4x, obtaining x^2 + 4x + 4 - 4 = (x + 2)^2 - 4

and then we substitute this last result into F(x) = -2(x^2 + 4x) + 3:

F(x) = -2[ (x + 2)^2 - 4 ] + 3, which simplifies to:

F(x) = -2(x + 2)^2 + 8 + 3, or F(x) = -2(x + 2)^2 + 11

Comparing this to the vertex equation (x + h)^2 + k, we see that h must be -2 and k must be 11.  

Thus, the vertex is (-2, 11).


Related Questions

What is 600 minus 258?

Answers

Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

600 - 258 = 342

Note:

Please mark as Brainliest! <3

Please answer all

1.Let y be a random variable that has the standard normal distribution. If P(y Select one:
a. 0.8416
b. 0.5244
c. 0.1584
d. -0.5244

2.Let y be a random variable that has the standard normal distribution. If P(-a Select one:
a. 0.3255
b. -0.3255
c. 0.6745
d. 0.000

3.Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. If 15 students are randomly selected, find the probability that the mean of their test scores is at most 40.
Select one:
a. 0.4749
b. 0.5250
c. 0.0251
d. 0.9749

4. Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get at most 40 in the test?
Select one:
a. 0.6935
b. 0.3065
c. 0.6730.
d. 0.3270

5. Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get a score from 36 to 40 in the test?
Select one:
a. 0.1981
b. 0.1751
c. 0.1684
d. 0.8249

6.For a given x score, its standardized score z = (x - μ)/σ is
Select one:
a. the probability between that score and the mean
b. negative for values below the mean
c. the number of means that score is from the standard deviation
d. not changed by the addition of one more score to the data set

7.Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get at least 37 in the test?
Select one:
a. 0.4588
b. 0.5412
c. 0.4361
d. 0.5639

8.For the standard normal distribution,
Select one:
a. P(0< z <2) = 2 P(0< z <1)
b. P(0< z < 1) = 0.3413
c. P(z = 1.00) = 0.3413
d. P(-1 < z < 0) = -P( 0< z <1)

9.Let y be a random variable that has the standard normal distribution. The value of P(-1.5 < y < 0) is
Select one:
a. 0.5668
b. 0.4332
c. 0.9332
d. -0.4332

10.Let y be a random variable that has the standard normal distribution. The value of P(y<-1.5) is
Select one:
a. 0.0668
b. 0.4332
c. -0.0668
d. 0.9332

Answers

Answer:

there was many questions an this much questions we don't have time

The area of a rectangular rug is 15 feet squared. If the width of the rug is 3 feet, what is the length of the rug.

Answers

Answer:

5

Step-by-step explanation:

if the area is 15 you would divide 15 by 3 and you'll get the length of 5

Answer:

5 feet

Step-by-step explanation:

22
g(x) =
*+
+7
What is the average rate of change of g over the interval —2, 4):

Answers

Answer:

[tex]Rate = 1[/tex]

Step-by-step explanation:

Given

[tex]g(x) = x + 7[/tex]

Interval: (-2,4)

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{g(b) - g(a)}{b-a}[/tex]

Where:

[tex](a,b) = (-2,4)[/tex]

So, we have:

[tex]Rate = \frac{g(4) - g(-2)}{4-(-2)}[/tex]

[tex]Rate = \frac{g(4) - g(-2)}{4+2}[/tex]

[tex]Rate = \frac{g(4) - g(-2)}{6}[/tex]

Calculate g(4) and g(-2)

[tex]g(4) = 4 + 7 = 11[/tex]

[tex]g(-2) = -2 + 7 = 5[/tex]

So:

[tex]Rate = \frac{11 - 5}{6}[/tex]

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

[tex]Rate = 1[/tex]

Hence, the average rate of change is 1

The number of bacteria on a piece of toast triples every
hour. If there is only one bacteria cell now, how many
will there be in 24 hours?
HELP PLZZZ WILL MARK BRAINLIEST!!!

Answers

Answer:

You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.

Next hour, it triples again so you now have 1 x 3 x 3=9

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer

What is the simplified form of i^15?
O A. -1
O B. 1
O C. -i
O D. i

Answers

Answer:

the answer is B........

plz help?

Find the value of x in this proportion.
621=10x

Answers

Answer:

x = 62.1

Step-by-step explanation:

Note the equal sign in this equation, what you do to one side, you do to the other. Isolate the variable, x, by dividing 10 from both sides of the equation:

[tex]621 = 10x\\\\\frac{621}{10} = \frac{10x}{10} \\\\x = \frac{621}{10} \\x = 62.1[/tex]

Answer:

x = 62.1

Step-by-step explanation:

The ingredients for your skillet brownie cost $2. Your want your food cost for
this item to be 30% or lower. What's the lowest price you can charge? Round
to the nearest cent.

Answers

$2 / 0.3 = $6.67

Check:

$6.67 * 0.3 = $2 :)

-4x = 7y + 13
Find the slope of the line

Answers

Answer:

-4/7

Step-by-step explanation:

The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.

-4x = 7y + 13

-4x -7y = 13        (subtract 7y from both sides)

-7y = 4x + 13      (add 4x to both sides)

7y = -4x -13        (divide both sides by -1)

y = -4/7x - 13/7  (divide both sides by 7)

Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.

Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.

The slope of the line is -4/7.

HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.

A. For every 8 hair accessories, 4 are bows.

B. For every 8 bows, there are 4 headbands.

C. For every 8 headbands, there are 4 bows.

D. For every 8 hair accessories, 4 are headbands.

E. For every 12 hair accessories, 4 are headbands.

Answers

For every 8 bows, there are 4 headbands.

What is 9,167.364 in expanded form?

Answers

Answer:

9,000+100+60+7+.3+.06+.004

Step-by-step explanation:

9000+100+60+7+.300+.060+.004

120 coins what is the ratio if 2/6 is nickels and 2/6 are dimes and the rest is quarters. What is the ratio of nickels to dimes to quarters?

Answers

Hi there!

If the nickels and dimes ratioe are both 2:6, then the quarter is also 2:6.

The total of of all together is also 6:6 and 6:6 is also 120 coins.

120 divide by 3 different kinds of coins are 40.

This means that there are 40 of 1 coin out of 3 different kinds of coins. What I really mean is that each coins all have 40 each...

Therefore, the ratios of nickels to dimes and to quarters are 40:40:40...

(-1/4) divided by 2/3 times (-1/2)

Answers

Answer:

Step-by-step explanation:

3/16

Answer:

3/16

Step-by-step explanation:

-1/4*3/2*-1/2

1/8*3/2

3/16

write the ratio 75g:3kg in its simplest form

Answers

i think it's 1:40 (g) (^^)

Helps pls...... help help help

Answers

Answer:

IQR = 10

Step-by-step explanation:

1. Find the median (middle data point.)

2. Find the median of the upper quartile (70 - 80.)

3. Find the median of the lower quartile. (60 - 70.)

4. Subtract the lower quartile from upper quartile.

1. median of the data = 70

2. median of Q2 = 75

3. median of the Q3 = 65

4. 75 - 65 = 10

IQR = 10

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Answers

Answer lit

Step-by-step explanation:

if the diameter of a circle is 65 what is the area

Answers

Answer:

(4225/4)pi units^2

Step-by-step explanation:

So we need to know the area of a circle formula to find the answer to this question

the formula is A = r^2(pi)

So we have the diameter but we need the radius. The radius is half the diameter so r = 65/2

Now we can plug the radius into the area formula

(65/2)^2*pi =

(4225/4)pi units^2

Answer:

3318.31

Step-by-step explanation:

What is tan K? i need help ..

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

[tex]\sf {tan~K} = \sf{{\dfrac{opposite~side}{adjacent~side}}} =\sf{{\dfrac{24}{51}}} [/tex]

None of the answers are correct

The answer is 8/15.

Step by step explanation:

For finding tangent, the formula is

tangent = Opposide / Adjacent

tan k = 24/45

tan k = 8/15

Hope it helps!

Two trains, Train A and Train B, weigh a total of 389 tons. Train A is heavier than Train B. The difference of their weights is 263 tons. What is the weight of each train? Equation 1: ____________ Equation 2: ___________ Train A weight: ________ Train B weight: ________

Answers

9514 1404 393

Answer:

A + B = 389A - B = 263A = 326 tonsB = 63 tons

Step-by-step explanation:

The first equation is an expression of the first given relationship:

  A + B = 389 . . . . . . where A and B represents trains weights, respectively

The second equation is an expression of the relationship described in the next two sentences:

  A - B = 263

__

These equations can be solved by adding them together:

  (A +B) +(A -B) = 389 +263

  2A = 652 . . . . . . simplify

  A = 326 . . . . . . . .divide by 2*

  B = 326 -263 = 63

Train A weighs 326 tons.

Train B weighs 63 tons.

_____

* You may notice that this value is the average of the given sum and difference. That observation is true of all "sum and difference" problems.

Please assist me with this problem​

Answers

Answer:

See working below

Step-by-step explanation:

You can apply Thales Intercept Theorem ("similar triangles")

a. [tex]\frac{36}{24}\:=\:\frac{48}{ET},\:ET\:=\:\frac{24\cdot 48}{36}\:=\:32[/tex]

b. [tex]\frac{36+24\:}{AJ}=\:\frac{48+ET}{40},\:\frac{60\:}{AJ}=\:\frac{48\:+\:32}{40},\:\frac{60}{AJ\:}=\:\frac{80}{40},\:AJ\:=\:\frac{1}{2}\left(60\right)\:=\:30[/tex]

c.

[tex]\\\frac{48}{CT}\:=\:\frac{36}{36+24}\:=\:\frac{27}{AT},\\\\CT = CE + ET = 48 + 32 = 80\\\\\frac{48}{80}\:=\:\frac{36}{60}\:=\:\frac{27}{AT},\:0.6\:=\:\frac{27}{AT},\:AT\:=\:\frac{27}{0.6}\:=\:45[/tex]

d.

[tex]\frac{36+24+AJ}{12\:}=\:\frac{48+ET+40}{OS}\\\\\frac{36+24+30}{12}=\:\frac{48+32+40}{OS},\:\frac{90}{12}\:=\:\frac{120}{OS},\:OS\:=\:\frac{12\cdot 120\:}{90}=\:16[/tex]

e.

[tex]\frac{36+24}{36+24+AJ\:}=\:\frac{48+ET}{48+ET+40\:}=\:\frac{AT}{JO}\\\\\frac{60\:}{36+24+30}=\frac{\:48+32}{48+32+40}\:=\:\frac{45}{JO}\\\\\frac{60}{90}=\:\frac{80}{120}\:=\:\frac{45}{JO}\\\\JO\:=\:\frac{135}{2}\:=\:67.5[/tex]

f.

[tex]\frac{36+24+AJ\:}{36+24+AJ+12}=\frac{\:48+ET+40}{48+ET+40+OS}\:=\:\frac{JO}{NS}\\\\\frac{90}{102}\:=\:\frac{120}{136}\:=\:\frac{67.5}{NS}\\\\NS\:=\:\frac{136\cdot 67.5}{120}=\:76.5[/tex]

Any one know the answer for these two it’s OK if you can only do one

Answers

Answer:

3) 10

4) 12

Step-by-step explanation:

It’s the Pythagorean Theorem.

3) 6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

4) 7.2²+9.6²=c²

51.84+92.16=c²

144=c²

√144=c

c=12

Answer:

c = 10km

Step-by-step explanation:

This is for #3.

Pythagoream Theoreom formula: a^2 + b^2 = c^2

Plug in the numbers into the formula and simplify.

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

√100 = 10

c = 10km

Hope this helps!:)

Use the sequence {0.3, 0.03, 0.003, 0.003, ... } to answer the question.
What is the explicit rule that describes the sequence?
1 an = 0.3(0.01)(n-1)
2 an = 0.3(0.001)(n-1)
3 an = 0.3(10)(n-1)
4 an = 0.3(0.1)(n-1)

Answers

Answer:

2 an ? Im pretty sure hope it helped

Answer:

an = 0.3(0.1)^(n - 1)

Step-by-step explanation:

so it's number 4 ;)

1. What concept does this picture illustrate?



A. radiation

B. conduction

c . contraction

D. convec​

Answers

Answer:

c

Step-by-step explanation:

Answer:

Convection.

Step-by-step explanation:

Convection  is where warm air rises and cool air falls. This picture is an example of Convection.

Help please ASAP....

Answers

She bought 15 lollipops

PLSS HELP DUE TMR PLSS 25 POINTS I BEGG

Answers

Answer:

7tifi6diyd8ydiy

Step-by-step explanation:

ust75dutsjtsutxxhtshfxhrsfhzyrahrsursusutsutsuttus5usutsutxtu

Need help ASAP
questions in the pics i have sent

Answers

Answer:

Step-by-step explanation:

Picture 1

In right triangle ABC,

Side AB is the opposite side of angle C.

Picture 2

In triangle MKL,

tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{KL}{KM}[/tex]

             = [tex]\frac{15}{8}[/tex]

Option (1) is the answer.

Picture 3

In ΔXYZ,

sin(∠Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{XY}{XZ}[/tex]

For the length of XY we will apply Pythagoras theorem in ΔXYZ,

XZ² = XY² + YZ²

XY² = XZ² - YZ²

      = (40)² - (32)²

XY = √576

     = 24

sin(Z) = [tex]\frac{24}{40}[/tex]

sin(Z) = [tex]\frac{3}{5}[/tex]

Picture 4

In right triangle DEF,

Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{EF}{DF}[/tex]

           = [tex]\frac{75}{72}[/tex]

           = [tex]\frac{25}{24}[/tex]

Picture 5

In ΔABC,

tan(63°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(63°) = [tex]\frac{BC}{AB}[/tex]

AB = [tex]\frac{BC}{\text{tan}(63)}[/tex]

AB = [tex]\frac{8}{\text{tan}(63)}[/tex]

AB = 4.0762 ≈ 4 m

Option (3) will be the answer.

The radius of a circle is 20 cm. Find its circumference in terms of Pi

Answers

Based on the calculations, the circumference of this circle in terms of Pi is equal to [tex]40\pi\;cm[/tex].

How to calculate the circumference of a circle.

Mathematically, the circumference of a circle is given by the formula:

[tex]Circumference = 2\pi r[/tex]

Where:

r is the radius of a circle.

Given the following data:

Radius of a circle = 75 in.

[tex]\pi = 3.14[/tex]

Substituting the given parameters into the formula, we have;

[tex]Circumference = 2\pi \times 20\\\\Circumference = 40\pi\;cm[/tex]

Read more on circumference here: brainly.com/question/14478195

the graph of which function will contain the point(2,10)​

Answers

Answer:

point (2 , 10)

Y= 5X

10 = 5(2)

10= 10

Sean runs 2/3 of a mile in 10 minutes. at this rate, how many miles can Sean run in 30 minutes? Explain how you found this answer. Please I need it quick!

Answers

Answer:

2 miles.

Step-by-step explanation:

In this case, we would multiply the numerator by 3 since we know that it takes him 10 minutes to run 2/3 of a mile. So, 2x3 = 6. Which gives us 6/3. Simplified that would be 2 miles. Hope this helps!

List three factors that must be considered when designing and building a house? Describe how each factor can influence the design and the building of the house.


I will be giving brainiest to correct and best explained answer! :)

Answers

Step-by-step explanation:

I would say the area its getting built. imagine wanting to build a house but you can't dig the sewer (if thats the spelling) pipes bc the area you want doesn't have any water or something like that. definitely money. without it, you can't do anything, you can't buy materials or even hire people to help you because you cannot tell me that you can build a house on your own. Another I would say is Labor cause like I said, if you ain't got nobody to help you, you're probably going to take a few years or more. so if you want to build a house in an area where there is a few architects and designers, you're just going to have to suck it up and get what you get.

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