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Vladimir [108]
2 years ago
6

Which must be true of a quadratic function whose vertex is the same as its y-intercept?

Mathematics
1 answer:
BaLLatris [955]2 years ago
7 0

Answer:  Choice A

The axis of symmetry for the function is x = 0.

===========================================================

Explanation:

The vertex is on the axis of symmetry. Since the vertex is on the y axis, this means the y axis itself is the axis of symmetry. The y axis is represented by the equation x = 0. Every point on the y axis has an x coordinate of 0. Example points are (0,2) and (0,5).

This parabola may have 0 roots, 1 root, or 2 roots.

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a grandfather is 8 times older than his grand daughter. in 8 years the grandfather will be 5 times as older as his grand daughte
mash [69]

Answer:

256 it's the answer

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!!

6 0
3 years ago
A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
Greeley [361]

Answer:

The original duration of the tour  is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

D \times T=360

D = \frac{360}{T}-------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

(D + 4) \cdot(T -3) = 360---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360

(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12

(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372

360 - ( \frac{1080}{T}) + 4T= 372

( \frac{1080}{T}) + 4T= 372 - 360

( \frac{1080}{T}) + 4T= 12

1080 + 4T^2= 12T

Solving the quadratic equation we get

T = 18  and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

D = \frac{360}{18}

D =  20

4 0
3 years ago
A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by e
borishaifa [10]

Answer: 31 nickels and 29 dimes

<u>Step-by-step explanation:</u>

Nickels (.05): x

Dimes (.10): y


 Value:     .05x + .10y = 4.45 →  -20(.05x + .10y = 4.45)   →   -x - 2y = -89

Quantity:        x  +    y  = 60   →       1(x  +    y  = 60)           →   <u> x  + y </u> = <u> 60 </u>

                                                                                                       -y  = -29

                                                                                                        y  =  29

Next, substitute "29" for "y" into either equation and solve for "x":

x +  y  = 60

x + 29 = 60

x          = 31


5 0
3 years ago
Haley has five times as many stuffed animals as she does dolls. Her brother has 18 more video games than Haley has stuffed anima
34kurt

Answer:

93

Step-by-step explanation:

15 x 5 = 75 + 18 = 93

5 0
3 years ago
Read 2 more answers
47 hundredths as a fraction and as a decimal number
pentagon [3]

Answer:

47/100 and 0.47

Step-by-step explanation:

A fraction is a number over 100

A decimal is a number with a decimal point that conside with a fraction

4 0
4 years ago
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