find the vertex of the following quadratic function
f (x) = -3x² + 7x + 11
a. (0.857 , 4.384)
b. (1.166 , 15.083)
c. (-2.45 , 3.18)
d. (1 , 12)

Answer:

1. x = 7

2. x = -5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0

Pull out like factors  6x - 9  =   3 • (2x - 3)

 (2x +  15 • (2x - 3)) -  179  = 0

Pull out like factors: 32x - 224  =   32 • (x - 7)

Solve: x-7 = 0

Add  7  to both sides of the equation  = 7

2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0

Pull out like factors: -4x - 18  =   -2 • (2x + 9)

 -40 -  (6x -  -10 • (2x + 9))  = 0

Pull out like factors:  -26x - 130  =   -26 • (x + 5)

-26 • (x + 5)  = 0

Solve: x+5 = 0

Subtract  5  from both sides of the equation: x = -5

Hope this helps! Please mark as brainliest.

Thanks!

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Answer:

The answer is 6(3-4x) because I just did on a test

Answer:

m=-4/3

Step-by-step explanation:

y2-y1

x2-x1

x1=−5 ,

y1=0,

x2=−2,

y2=−4.

m=(−4)−(0)(−2)−(−5) =−4/3=−4/3.

Answer:

The result when x^3-8x^2+19x-14 is divided by x^2-2x−2 is

[tex]x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex] .

Step-by-step explanation:

Seems the divisor in the question is x^2-2x−2. If so, the solution to the division is shown using the long division method in the attachment below.

The result is

[tex]\frac{x^{3}-8x^{2} +19x -14}{x^{2} -2x-2} = x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex]

Answer:

70

Step-by-step explanation:

280×25%=70 pages per night

Answer:

70

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

If we're talking about fractions, the smaller numbers are larger, why? I have no idea, but 1/8 is half of 1/4 making 1/4 larger. Now give me that brainliest buster.

Answer:

C and D

Step-by-step explanation:

Now, I'm not 100% sure on this answer. But, these two look the most efficient answers to go for.

I hope this helps you!

Answer:

C

Step-by-step explanation:

Answer:

(b)

Step-by-step explanation:

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

Answer:

$68,213

Step-by-step explanation:

The median is the middle value number.

So you need median for Virginia.

First lets see how index and income are connected.

To do this divide the income by the index to see if you have a constant value you can use.

535.434783 = Arkansas

535.381944 = Alabama

535.58 = Arizona

535.669236 = Alaska

535 is constant in all of these.

Let's multiply the index by 535.

127.2*535 =68212.5

For median income, you need a whole number so lets round up.

68213

So Virginia would have a median income rate of $68,213

If you have anymore questions, don't be afraid to reach out and I hope that helps!

Answer:

d,c,b,a

Step-by-step explanation:

Answer:

I think answer is 87<180 or maybe 87<12*15

Answer:

35% is the answer 68-35%=44.2

Step-by-step explanation:

Step-by-step explanation:

The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

the slope of the line would be 1/2 I think

Answer: 50

Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50

Answer:

35

Step-by-step explanation:

9 ÷ 3 + 4 · 6 + 8

Do 9 ÷ 3 first

3

Plug this value back into the equation

3 + 4 · 6 + 8

Do 4 · 6 next

24

Plug this value back into the equation

3 + 24 + 8

Add 3 to 24

27

Plug this value back into the equation

27 + 8

Add

35

Hope this helps :)

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Answer:

The scale is: 1 cm = 3.26 meter

Step-by-step explanation:

Given

Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]

Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]

In order to find the scale, we can find the ratio between actual height and height in painting.

The ratio can be found by dividing the actual height by height in painting

[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]

Rounding off to nearest hundredth

= 3.26

This means that the scale is:

1 cm = 3.26 meter

Answer:

-2/11

Step-by-step explanation:

y2-y1/x2-x1

8-10 / -5 -(-16)

-2/-5 + 16

-2/11

Answer:

No, y=5 is NOT a linear function.

Step-by-step explanation:

In order for a linear function to be true, it need to include a slope-intercept. For example, a commonly used equation, y = mx+b y = m x + b, is an example of a linear function, since it meets both the variables of m and b and criteria of x and y. In this case, when drawing out y=5 on a graph, marking it down reveals no slope.

I hope this helped to answer your question.

We now know that y = 5 is not a linear function as it cannot be written as y = MX + b.

As, in the description it is cleary said that linear functions can be represented in y = MX + b form, and y = 5 cannot be represented in the same form.

Therefore, y = 5 is not a linear function as it cannot be written as y = MX + b.

Know more about linear functions here:

https://brainly.com/question/15602982

#SPJ2

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

Answer:

12

Step-by-step explanation:

1.5(4-r) = -12

To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.

With the simplified expression, you can solve for r.

Subtract 6 from both sides then divide by -1.5.

-1.5r=-18

r=12

Answer:

if you want to simplify it, it would be -5 + 12

but if you want to finish the problem then the answer would be positive 7 or just 7

Step-by-step explanation:

Answer: no no yes

Step-by-step explanation:

Answer:

There are 245 Iguanas in the reptile exhibit

Step-by-step explanation:

There are  35 snakes in the reptile exhibit.

We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.

This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.

Iguanas = snakes X 7

Iguanas = 35 X 7 =245 Iguanas

Therefore, there are 245 Iguanas in the reptile exhibit

Answer:

x = 14

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.

Answer:

umm.. I think the answer choices are wrong because the slope is -2.

y = mx + b

y = (slope)x + (y-intercept)

y = -2x + 4

and i have proof!

Step-by-step explanation:

Answer:

Total number of tile used = 300

Step-by-step explanation:

Given:

Length of floor = 240 inches = 240 / 12 = 20 ft

Width of floor = 180 inches = 180 / 12 = 15 ft

Size of each tile =  1 square foot

Find:

Total number of tile used

Computation:

Area of floor = 20 x 15

Area of floor = 300 square foot

Total number of tile used = Area of floor / Size of each tile

Total number of tile used = 300 / 1

Total number of tile used = 300