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4 years ago

True or False: The vertex of the graph y=ax^2 will be at the origin.

Mathematics

1 answer:

marshall27 [118]4 years ago

3 0

If b^2 - 4ac = 0, then b^2 = 4ac. Therefore, ac = 4 and b = + or -2.

That means that if b can be multiple things, then there a two y = equations.

y=ax^2+2x+c

y=ax^2-2x+c

so to find the intercept equations:

0=ax^2+2x+c; 0 = x(ax+2)+c; x(ax+2) = -c

0=ax^2-2x+c; 0 = x(ax -2)+c; x(ax-2) = -c

That means x has a positive and a negative value, so there is more than 1 intercept.

False.

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-.At a fair hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of

NikAS [45]

Answer:

Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)

The graph in the attached figure

Part b) See the procedure

Step-by-step explanation:

The questions are

Part a) Find the intercepts and graph the function

Part b) What does each intercept represent?

Part a) Find the intercepts and graph the function

Let

x-----> the number of hamburgers

y ----> the number of hot dogs

we have

$3x+1.5y=30$

Remember that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$3(0)+1.5y=30$

$1.5y=30$

$y=20\ hot\ dogs$

The y-intercept is the point (0,20)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$3x+1.5(0)=30$

$3x=30$

$x=10\ hamburgers$

The x-intercept is the point (10,0)

Plot the intercepts and graph the line

see the attached figure

Part b) What does each intercept represent?

The x-intercept is the number of hamburgers they can buy if they buy no hot dogs

The y-intercept is the number of hot dogs they can buy if they buy no hamburgers

5 0

3 years ago

if alisson worked the times in the table and makes $9.32 an hour, how much was her gross pay this week

LenaWriter [7]

Hrs worked = 9.25 + 8.75 + 9 + 8.25 + 9 = 44.25 hrs. (44.25 - 40 = 4.25 hrs overtime)
40 hrs * $9.32 = $372.80 (Straight time) 

$9.32 * 1.5 = $13.98 (Overtime rate) 
4.25 (Overtime hrs.) x $13.98 (Overtime rate) = $59.42 (Overtime pay) 

$372.80 + $59.42 = $432.22 (Total gross pay)

4 0

3 years ago

Please help i need to write out my work to so please tell me how to show it

Anarel [89]

For the first one write 9 divided by 2 gives your your radius an it’s 3.5. the formula is 2 x 3.14 x radius and that gives you 21.98.

the 2nd one is 2 x 3.14 x 9 = 56.52

the 3rd is 2 x 3.14 x 5= 31.4

formula is always 2 x 3.14 (or pie) x radius

to get your radius from your diameter you do your diameter divided by 2

3 0

2 years ago

Read 2 more answers

Catherine works a hourly rate of $22.50 and earns double when she works overtime she works 40 regular hours and 12 hours overtim

Zielflug [23.3K]

So it starts by 22.50 regularly so she worked 40 regular hours so $22.50 * 40h= $900 and in over time she gets double for working over time so $22.50 * 2 = $45 and she worked 12 hours so 12h * $45 = $540 then we need to add those two numbers up 900 + $540 = $1,440 is our answer/outcome.

5 0

3 years ago

PLEASE HELP MEEE ❗‼️‼️❗‼️ Find RS A) 38 B) 35 C) 37 D) 40

Marat540 [252]

The interior angles sum to 180°, so the missing angle has measure

180° - 106° - 12° = 62°

Use the law of sines to find RS:

sin(106°)/RS = sin(62°)/34 ⇒ RS = 34 sin(106°)/sin(62°) ≈ 37

4 0

2 years ago

True or False: The vertex of the graph y=ax^2 will be at the origin.​

True or False: The vertex of the graph y=ax^2 will be at the origin.