Answer:
500 people
Step-by-step explanation:
Let the total number of people took the survey = x
Since 12 out of every 15 people prefer eating at a restaurant.
Therefore, fraction of total person surveyed who preferred eating at restaurant = people
If the number of people selected eating at restaurant = 400
Hence, = 400
x =
x =
x = 500
Total 500 people took the survey.
12 = 400
=
15 = 15 *
= 500.
∴ 500 people took the survey
Choose exactly two answers that are correct.
A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48.
B. The equation that represents the price, e, of the electricity is 0.05e + 6.30 = 48.
C. The cost of the electricity before taxes or fees is $39.71.
D. The cost of the electricity before taxes or fees is $834.
Answer:
a) Missing y-values
x = - 2 ==> y = 5
x = - 1 ==> y = 2
x = 1 ==> y = 2
x = 3 ==> y = 10
b) Values of x for y = 4:
x = 1.7 and x = -1.7
Step-by-step explanation:
Given the quadratic function,
y = x² + 1
part a)
to find the y-value for a specific x, just plug in that value of x into the right side and simplify
There are four missing values for
The x values and the corresponding y values are
x = - 2 ==> y = (-2)² + 1 = 4 + 1 = 5
x = - 1 ==> y = (-1)² + 1 = 1 + 1 = 2
x = 1 ==> y = (1)² + 1 = 1 + 1 = 2
x = 3 ==> y = (3)² + 1 = 9 + 1 = 10
part b)
The graph has each unit on the grid for the x-axis = 0.5
and
each unit on the grid for the y-axis = 2
I got this by seeing that between x = 0 and x = 1 there are two units
the value of y at x = -1 or x = 1 is only one vertical unit on the grid and since y = 2 for these values of x, each vertical unit must be 2
Therefore look at the value of y = 4 (which should be two vertical units) on the graph. You can also draw a horizontal line parallel to the x axis at 2 units from the x-axis
It appears that on the positive x-axis for y = 4, x is about halfway between 1.5 and 2 so I would estimate it at 1.75
On the negative x-axis, at y = 4, x is about halfway between -1.5 and -2 so it would be -1.75
One thing to note about quadratic functions is that you get the same value of y for x and -x
So at y = 4, the two possible values of x are
x = 1.75 and x = -1.75
which when using one decimal place will round to 1.7 and 1;75
I am rounding down rather than rounding up since the x value appears be less than 1.75
Mathematically we can solve for x at y = 4 by plugging in values
y = 4 = x² + 1
x² + 1 = 4
x² = 4 - 1 = 3
x =±√3 = ±1.732
which when rounded to 1 decimal place becomes
x = 1.7 and x = -1.7
Answer:
Step-by-step explanation:
a) y = (-2)² + 1 = 5
y = (-1)² + 1 = 2
y = (1)² + 1 = 2
y = (3)² + 1 = 10
b) 4 = x² + 1
x² = 4 - 1 = 3
x = ±√3 = ±1.7
Answer:
Step-by-step explanation:
Right answer is choice C
Let a= amount Vince needs
Because if the least expensive phone is $225.90 and Vince got $122.35 saved then
(225.90 - 122.35) $103.55 is how much Vince will need
103.55 is greater than or equal to a
and not less than or equal to
Answer:
No, he is not correct.
Step-by-step explanation:
$103.55 is the minimum, not maximum
Jamal and Steve
10/12 can be reduced to 5/6
Answer:
The most cost effective company will be Painting USA that charge $700 to paint Paul house .
Step-by-step explanation:
As given
Paul is going to have the exterior of his home painted.
Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor.
If it takes 25 hours to paint Paul’s house.
Total amount charge by Painting USA = Painting USA charges for come out and evaluate the house + Cost of per hour of labor × Total hours take to paint Paul house .
Total amount charge by Painting USA = 75 + 25 × 25
= 75 + 625
= $ 700
As given
Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.
Total amount charge by Upscale Home Painting = Cost of per hour of labor × Total hours take to paint Paul house
= 40 × 25
= $ 1000
Therefore the most cost effective company will be Painting USA that charge $700 to paint Paul house .