Joel was studying the function f(x) = 2x2– 6x + 4. Please identify the key points. Part A: Direction of opening Part B: Axis of Symmetry Part C: Vertex Part D: Y-intercept Part E: X-intercept

Answer:

x = 12.17

Step-by-step explanation:

we use the tan function

[tex]\tan \theta = \fra{opp}{ady}\\\\\tan(49) = \frac{14}{x}\\\\x=\frac{14}{\tan 49}\\\\x \approx 12.17[/tex]

Answer:

d

Step-by-step explanation:

The coordinates of the centroid of the triangle STU is: (3, 1).

Recall:

Thus, given the vertices of a triangle as: S(5, 5), T(11, -3), U(-1, 1)

[tex]S(5, 5) = (x_1, y_1)\\\\T(11, -3) = (x_2, y_2)\\\\U(-1, 1) = (x_3, y_3)[/tex]

[tex](x, y) = (\frac{5 + 11 +(-1)}{3}, \frac{5 + (-3) + 1}{3})\\\\(x, y) = (\frac{15}{3}, \frac{3}{3})\\\\\mathbf{(x, y) = (3, 1)}[/tex]

Therefore, the coordinates of the centroid of the triangle STU is: (3, 1).

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Answer:0.13

Step-by-step explanation:

Answer:

a =  5 seconds and b = 50 inches c = No, because it starts at 50 inches and only goes down after that. This means it will never be at 120 inches.

Step-by-step explanation:

A. Solve it as a quadratic equation where h = 0 (because it will be 0 inches above the water).

0 = - 16t^2 + 70t + 50

0= -2(8t^2 - 35t -25)

0= -2(t - 5)(8t + 5)

Since the amount of time has to be positive, t - 5 = 0, so t = 5 seconds

B. Substitute t = 0 into the equation.

h = -16(0)^2 + 70(0) + 50

h = 0 + 0 + 50

h = 50 inches

C. It's diving, so it's only going down and won't reach 10 feet.

Answer:

2,2

Step-by-step explanation:

Equations are all good

The ordered pair (2, 1) satisfies the given equations. Therefore, the answer is option (C).

To solve the system of equations y = 2x - 3 and y = 3x - 6, we need to find an ordered pair (x, y) that satisfies both equations.

We can do this by completing the table of values for each equation and finding the values of x and y that make both equations true.

For the equation y = 2x - 3, we can complete the table as follows:

x: -1, 0, 1, 2, 3

y: -5, -3, -1, 1, 3

For the equation y = 3x - 6, we can complete the table as follows:

x: -1, 0, 1, 2, 3

y: -9, -6, -3, 0, 3

From these tables, we can see that the ordered pair (2, 1) satisfies both equations.

Therefore, the answer is (2, 1).

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The complete question is as follows:

Consider the equations y = 2x - 3 and y = 3x - 6. Solve the system of equations by completing the table to find an ordered pair that satisfies both equations.

A) (0, 3)

B) (1, -1)

C) (2, 1)

D) (2, 2)

Answer:

y=-2x

Step-by-step explanation:

The y-intercept is 0 so b is 0

and it is going down   2 right 1 so it is -2/1  -2/1 =-2 so it is y= -2x

Answer:

y = -2x + 0

Step-by-step explanation:

y = mx + c

m = gradient and c = y intercept ( the point where the line intercepts the y axis)

Firstly, we can tell the gradient is negative because it has a negative slope (sorta like down a hill) where as x increases y decreases.

To calculate the gradient you use the equation y/x

Pick anywhere on you graph and measure. I have taken from (0,0) to (0,-4) for y and (0,-4) to (2,-4) for x.

Next subtract them (0,-4) - (0,0) = 0,-4. Then take that - 4 for y

Next subtract for them for x (0,-4) - (2,-4) = 0- 2 and -4 -(-4)

                                                                    = -2 and -4 + 4 = 0

                                                                    = -2

So y = -4 and x = -2

y/x = 4/2 = 2

Because we know our gradient is negative add a minus and we get our gradient as -2

For y intercept simply find where the line crosses through the y axis, which in this question happens to be 0

answer = -2x + 0

Answer:

Rick ran 5.6 miles on Thursday.

Step-by-step explanation:

Let's first find the speed Rick ran on Wednesday.

D=RT

4.2 = (3/4)R

R = 5.6 mph.

D=RT

D=(5.6 mph)(1)

D=5.6 miles

Let me know if this helps!

Answer:

no solution

Step-by-step explanation:

3х – 5 = 3(х – 1)

Distribute

3x -5 = 3x -3

Subtract 3x from each side

3x -5-3x = 3x -3 -3x

-5 = -3

This is not true so there is no solution

Answer:

3x-5=3x-3

3x-3x-5+3=0

x-2

x=2

substituting x=2

3x-5=3(x-1)

3×2-5=3(2-1)

6-5=6-3

1=3

yeah...its no equal

Answer:

-34

Step-by-step explanation:

Answer:

A. -34

Step-by-step explanation:

Answer:

x=y+10

1x+1y=64 d

y=27 year book club

x=37 drama club

Step-by-step explanation:

x=y+10

1x+1y=64 d

y+10+y=64

2y+10=64

2y=54

y=27

x=37

Answer:

Part A)

[tex]x=10+y\\\\ x+y=64[/tex]

Part B)

There are 37 students in the drama club.

And there are 27 students in the yearbook club.

Step-by-step explanation:

We know that there are 64 students in total in a drama and yearbook club.

The drama club has 10 more students than the yearbook club.

We will let x represent the number of students in the drama club and y represent the number of students in the yearbook club.

Part A)

Since the drama club (x) has 10 more students than however many the yearbook club (y) has, we can write:

[tex]x=10+y\\[/tex]

And since there are in total 64 students, x plus y must equal that sum. So:

[tex]x+y=64[/tex]

Part B)

We can substitute the first equation into the second:

[tex](10+y)+y=64[/tex]

Combine like terms:

[tex]2y+10=64[/tex]

Subtracting 10 from both sides:

[tex]2y=54[/tex]

Dividing by 2:

[tex]y=27[/tex]

So, the amount of students in y or the yearbook club is 27 students.

Since the drama club has 10 more, there are 37 students in the drama club.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-4x+13

if

the slope-intercept form of a linear equation is

where,m is slope and b is y-intercept

let's justify the first and second statement

our given equation is

y=-4x+13

where -4 is our slope or m

therefore,

1 and 2 statements are False

let's justify the third and fourth statement

our given equation is

y=-4x+13

where,13 is our y-intercept which means the line passes y-intercept when x=0

therefore,

third and fourth statements are False

The statement which is true regarding the line y = -4x + 13 is; The line passes through the point, (0, 13)

The equation of a straight line in slope-intercept form is usually of the form; y = mx + c

where m = slope and c is the y intercept with coordinate (0, c)

The statement which is true is therefore; The line passes through the point, (0, 13)

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Answer:

x=−4,y=−3

Step-by-step explanation:

Solve for y in the second equation.

y=5+2x

3x−3y=−3

Replace all occurrences of y with 5+2x

in each equation.

−3x−15=−3

y=5+2x

Solve for x in the first equation.

x=−4

y=5+2x

Replace all occurrences of x with −4

in each equation.

y=−3

x=−4

Answer:

n hh hhbbhvhj vhvhjl

Step-by-step explanation:

Answer: I think the answer is B

Step-by-step explanation:

8(x-4) = 8(1-4) = 8-32

2(4x-16) =2(4*1-16) = 8-32

8(x-4) = 8(2-4) = 16-32

2(4x-16) = 2(4*2-16) = 16-32

Answer:

B. Infinitely many solutions.

Step-by-step explanation:

8(x - 4) = 2(4x - 16)

^--This is the original equation.

If we replace x with 1...

we have the same equation, but we add an extra set of brackets. (You'll see why in a second)

8(1 - 4) = 2{4(1) - 16}

1 - 4 = -3

We start by subtracting 4 from 1. When using positive numbers, we can't do this, however. This gets us to -3. leave it in the parenthesis though!

8(-3) = 2{4(1) - 16}

4(1) = 4

Now, the reason we made an extra set of brackets is because 4x is asking you to multiply 4 by x. but as a number, you have to make an extra set of parenthesis to show that. 4 x 1 = 4 so it stays as a 4.

8(-3) = 2(4 - 16)

^-- Now, we are given this new equation. We'll move away from 8(-3) for just a second, to finish the other parenthesis. But still don't remove the parenthesis for 8(-3)!

4 - 16 = -12

We know that 4-16 would also not be possible with positive numbers, but for this equation, as said before.. you're using negative numbers. so 4 - 16 = 12

8(-3) = 2(-12)

^-- And again, we have a new equation. 8(-3) = 2(-12). Don't remove the parenthesis, as I have said before.

8(-3) = -24

Again, the equation shows with parenthesis, it wants us to multiply. Now we take 8, and multiply it by -3. This is a bit tricky, as it is with negative numbers. But in the end, you should have -24.

-24 = 2(-12)

^--The equation becomes -24 = 2(-12). We'll have to multiply again, so keep the parenthesis.

2(-12) = -24

2(-12) Is also asking you to multiply, so now we do the same as before, which again, is a bit tricky because we are using negative numbers. You should end up with -24 though.

-24 = -24

^--Now, you have -24 = -24. This is true since both are the same number.

8(x - 4) = 2(4x - 16)

^-- Here's our wonderful equation again! Let's replace X with a 2 this time!

If you don't understand, read the tips from above to understand what I'm doing in the following equations!

8(2 - 4) = 2{4(2) - 16}

2 - 4 = -2

8(-2) = 2{4(2)-16}

4(2) = 8

8(-2) = 2(8 - 16)

8 - 16 = -8

8(-2) = 2(-8)

8(-2) = -16

-16 = 2(-8)

2(-8) = -16

-16 = -16

And again, we get the same two numbers!

Hope I helped! <3

Answer: p = 8750 kg·m/s

Step-by-step explanation:

Answer:

the answer is one fourth 1/4

can u mark me as brainliest

Answer:

(1,-3)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Answer: Yes

Step-by-step explanation: Yup yup yup

Answer:

The constant of proportionality is 28

Step-by-step explanation:

For the constant of proportionality, you'll want to basically find the slope.

The constant of proportionality, k, is defined as:

[tex]k=\frac{y}{x}[/tex]

Thus, we can do this for all three values and reach a conclusion:

[tex]k=\frac{224}{8}[/tex]

[tex]k=\frac{280}{10}[/tex]

[tex]k=\frac{112}{4}[/tex]

In each of these cases, we see that the value of k is 28, therefore, the constant of proportionality is 28

For the second problem, put the cards in their respective places on the number line given.

Hope this helps!

Answer:

Angle! hope you get an A

Step-by-step explanation:

Hope this helps

Answer:

You can use substitution, elimination, or graphing.

Step-by-step explanation:

So what I would do, is using elimination because you have two variables that are the same, what I mean is that you have two -3y's, So, take one equation, lets do the top one, and multiple the whole thing, yes, the WHOLE THING meaning both sides by -1. This will give you -6x+3y= -12. The negative turns to positive because you multiply the -3y by -1. Notice how you have a +3y in the top equation now and a -3y in the bottom one. This is why the method is called elimination, you can cross out the +3y and -3y and combine both equations. You now have -2x=12. Divide both sides by -2, x=-6. Plug -6 in the first equation, you get 6(-6)-3y=12 which goes to -36-3y=12. Add 36 on both sides, you get -3y=48. Divide both sides by -3, you get y=-16. Oh yeh, plug y into one of the equations and solve for x, i forgot to say that.

Answer:

idek

Step-by-step explanation:

Answer:

14500

Step-by-step explanation:

do 145 multiplied by 100

Answer: A rotation 180 counterclockwise about the origin

Fingure u is turned a half circle counterclockwise to form figure V

Answer:

314

Step-by-step explanation: