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4 years ago

Can someone check my answer?

1 answer:

8 0

The equation for a parabola is y = ax^2+ bx + c In this example, y = x^2 - 4x + 3 a = 1 b = -4 c = 3 Because "a" is a positive number, the parabola will open upwards and the vertex will be a minimum (at the bottom). To find the vertex, use x = -b/2a x = -(-4) / 2 (1) x = 4 / 2 x = 2 Then solve for y using x = 2 y = x^2 - 4x + 3 y = 2^2 - 4(2) + 3 y = 4 - 8 + 3 y = -1 Therefore the vertex (x,y) is at (2, -1) To find the x intercept, let y = 0 and solve for x. y = x^2 - 4x + 3 0 = x^2 - 4x + 3 0 - (x^2 - 4x + 3) = x^2 - 4x + 3 - (x^2 - 4x + 3) -x^2 + 4x - 3 = 0 Factor left side of equation: (-x + 1)(x - 3) = 0 Therefore -x + 1 = 0 or x - 3 = 0 x = 1 or x = 3 The x intercepts are (1,0) and (3,0).

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Please show work for both problems

pentagon [3]

Answer:

1) x = 25 2) x = 23; m∠CBD = 80 degrees

Step-by-step explanation:

1) 5x + 15 = 6x - 10 Set both equations equal to each other

- 5x - 5x Subtract 5x from both sides

15 = x - 10

+ 10 + 10 Add 10 to both sides

25 = x

2) 2x + 14 + x + 7 = 90 Set the equations equal to 90

3x + 21 = 90 Combine like terms

- 21 - 21 Subtract 21 on both sides

3x = 69 Divide both sides by 3

x = 23

Plug 23 into the equation

2(23) + 14 = 60

5 0

4 years ago

True or false...the segment AB is congruent to the segment BC

pogonyaev

Answer:

true

Step-by-step explanation:

the segment ¯AB¯ is congruent to the segment ¯BC¯

5 0

3 years ago

Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.

Virty [35]

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

4 0

3 years ago

Read 2 more answers

Rebecca gets a part time job in order to pay for her cheerleading uniform. her employer tells her that she will be earning $7.25

qwelly [4]

Answer:

$1972

Step-by-step explanation:

We are given that Rebecca will earn $7.25 per hour for her job and she is promised to have 34 hour workdays per week.

We are to find the minimum amount of money she will gross in eight weeks.

Number of hours of work in 8 weeks = $34 \times 8$ = 272 hours

Minimum amount of money she will earn in 8 weeks = $272 \times 7.25$ = $1972

4 0

3 years ago

PLEASE HELP! I have been working on this IXL for over 30 minutes and I keep getting the questions wrong. I am not good at graphi

ollegr [7]

The equations are in slope intercept form which is

y = mx+b

m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.

the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x

the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.

for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x

i attached a picture of the graphed lines

4 0

3 years ago