HELP Solve for x and PS

Answer:

  (a)  1

  (b)  1 3/4

  (c)  [-2, 4]

  (d)  [-1/4, 2]

Step-by-step explanation:

Apparently, the vertex of the graph is (1, 2) and it goes through points (-1, 1) and (3, 1). In vertex form, the equation for this is ...

  y = a(x -1)^2 +2

We can find the value of 'a' from the point (3, 1):

  1 = a(3 -1)^2 +2 = 4a +2 . . . . substitute for x and y, and simplify

  -1 = 4a . . . . . . . subtract 2

  -1/4 = a . . . . . . divide by 4

So, ...

  f(x) = -1/4(x -1)^2 +2

__

Above, we assumed point (-1, 1) was on the graph:

  f(-1) = 1

__

Using the equation we found, ...

  f(2) = -1/4(2 -1)^2 +2 = -1/4 +2

  f(2) = 1 3/4

__

The domain is the horizontal extent of the graph, apparently from x = -2 to x = 4.

  domain: [-2, 4] or -2 ≤ x ≤ 4

__

The range is the vertical extent of the graph. The minimum can be found at the end of the domain:

  f(4) = -1/4(4 -1)^2 +2 = -9/4 +2 = -1/4

The maximum has already been established as the vertex at y=2.

  range: [-1/4, 2] or -1/4 ≤ y ≤ 2

Answer:

23m-47

Step-by-step explanation:

Distribute  9 to m and -3

Distribute 2 tp -10 and 7m

9m-27-20+14m

Subtract:

9m-47+14m

Group like terms:

9m+14m-47

Add similar elements 9m+14m=23m:

23m-47

Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c)  I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.

Step-by-step explanation:

Answer:

0,100,0.5,20

Step-by-step explanation:

My answer got removed cause I didn't put an explanation... you just plug in the numbers to the equation.

Answer:

[tex](2x+3)^{2}[/tex]

Step-by-step explanation:

Factor the equation (I got 36 because I multiplied 4x9)

You need to find two numbers that multiple to equal 36 but add to equal 12

6 x 6 = 36

6 + 6 = 12

I used to box method to factor it further into (2x+3)^2

Answer:

$100

Step-by-step explanation:

The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.

Answer:

19

Step-by-step explanation:

Answer:

The width would be 3 1/3 inches or 3.333 repeating

Step-by-step explanation:

Since you divide the length by 3, you would also have to divide the width by 3. 10 divided by 3 is 3 1/3 or 3.333 repeating (whichever one you choose).

The points for a linear function are (0, -2), (1, 1) and (2, 4)

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given that the relationship between f(x) and x is given by:

f(x) = 3x - 2

When x = 0: f(0) = 3(0) - 2 = -2

When x = 1: f(1) = 3(1) - 2 = 1

When x = 2: f(2) = 3(2) - 2 = 4

The points for a linear function are (0, -2), (1, 1) and (2, 4)

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

(0, -2) (1, 1) (-3, -11)

Step-by-step explanation:

6x + 24 = 6x + 8

Cancel equal terms

24=8

the statement is false(Ø)

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

This is about the interpretation of the graph

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

Hope it helps you mark me as brinllent

Answer:

7.

Step-by-step explanation:

Since there is a total of 27 per class, and 20 are already in the class, you can do 27-20= 7 student slots left.

Answer:

x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.

Answer:

Answer is $3

Step-by-step explanation:

$3 x 0.75 (75%) = $2.25

$3 - $2.25 = $0.75

Answer:

Below :D

Step-by-step explanation:

Corresponding equation:

A relationship represents a proportional diagram.

So we can express it as, y/x=k

Answer= y 1/5x

substitute (20,4)

4= 20x/.

Divide both sides by 20.

so we have.

y=1/5x.

Answer:

[tex] \frac{y - y1}{x - x1} \\ \frac{y - 4}{x - 20} \\ m = \frac{y - 4}{x - 20} \\ 1 = \frac{y - 4}{x - 20} \\ x - 20 = y - 4 \\ - y = - x - 4 + 20 \\ - y = - x + 16 \\ \frac{ - y}{ - } = \frac{ - x}{ -} + \frac{16}{ - } \\ y = x - 16[/tex]

Answer:

There is no question.

Step-by-step explanation:

Answer:

you can't add them technically because they aren't the same

if it was 2x then you could add them

Answer:

Step-by-step explanation:

In the question it’s given that : y=|x| => even if x will be a negative number,y will be positive.

1) -3 ; 3 ; (-3,3)

2) -2 ; 2 ; (-2,2)

3) -1 ; 1 ; (-1,1)

4) 0 ; 0 ; (0,0)

5) 1 ; 1 ; (1,1)

6) 2 ; 2 ; (2,2)

7) 3 ; 3 ; (3,3)

Answer:

Step-by-step explanation:

Angle j is the measure of the interior angle of a regular hexagon, so its measure is 180(4/6) = 120 degrees.

Angle k can be found using the fact that the sum of the interior angles of a quad is 360.

So k = 360 - 180 - 142 = 38 degrees

Answer:

r = [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a, b) is the center and r is the radius

Therefore, for the equation [tex]x^2+y^2=18[/tex]

⇒ r = [tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

Area of a rectangle = height × width

= 5b × 3a

= 15ab

Answer:

The answer is B. 60 boys

Step-by-step explanation:it would not let me put my reasoning but trust me its correct <3 brainliest please

Answer:

(-1,9)

Step-by-step explanation:

y = -3x + 6

y = 9

-3x + 6 = 9

-3x = 3

x = -1

y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,

-3(-1) + 6 = 9

(-1,9)

[tex]J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-4}(x-\stackrel{x_1}{(-4)})\implies y+5=-4(x+4)[/tex]

[tex]y+5=-4x-16\implies y=-4x\underset{\stackrel{\uparrow }{b}}{-21} \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

its -21 cus im asian and smart

Step-by-step explanation:

Answer:

The bottom right (v shaped one) is a function

Step-by-step explanation:

Hope this helps:)

Answer:

The one in the bottom right that is an absolute value function.

Step-by-step explanation:

You can use the "vertical line test" to determine whether a given graph is a function or not. If you can draw a straight, vertical, line anywhere and it intersects the graph more than once, then it is not a function. The one in the bottom right is therefore the answer.

Answer:

3240°

Step-by-step explanation:

The equation to find the sum of the measures of the interior angles of a figure is:

(n-2)*180

Where n represents the amount of sides the figure has. In this case the figure has 20 sides so its interior angles sum up to:

(20-2)*180=18*180=3240°