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Vera_Pavlovna [14]

2 years ago

7

Find the coordinates of the points of intersection of the parabola y=x^2+3x-4 and the line y=2x+2

1 answer:

lana [24]2 years ago

6 0

You can set the y values equal to each other and solve the system:

x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2

So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:

y=2(-3)+2
y=-4

y2(2)+2
y=6

So the coordinates are (-3,-4) and 2,6).

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A. If the average ticket price is $15

Westkost [7]

Answer:

He had been in a hospital with friends since his birth

5 0

2 years ago

A garden is in the shape of a square with a perimeter of

ElenaW [278]

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

P1= 64 feet/4 sides

P1= 16 feet

Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

P2 = 20 feet x 4 sides

P2 = 80 feet

The sum of the perimeters of both fences is:

PT = P1 + P2

PT = 64 feet + 80 feet

PT = 144 feet

Total cost = 1.17 $ x 144 feet

Total cost = 168.48 $

The total cost of the fences was $ 168.48

6 0

3 years ago

Dean sot a goal to do more than 900 push-ups this month. So far, he has done 230 push-ups, and there are 20 more days remaining

vampirchik [111]

Step-by-step explanation:

he has 900-230 = 670 more push-ups to do in the remaining 20 days.

so, he has to do every day

670/20 = 67/2 = 33.5 push-ups.

fractions of push-ups don't make sense.

we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .

so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.

p > 33

or

p >= 34

both should be correct in the context of using only whole numbers.

bur in case of doubt I would pick p >= 34.

5 0

1 year ago

Identify the slope and y-intercept:<br> y = -1/5x+12<br> Slope:<br><br> y-intercept:

ipn [44]

Answer:

Slope: -1/5 y-intercept: 12

Step-by-step explanation:

y = -1/5x + 12

The equation given is the slope-intercept form, y= mx + b

In this equation, the m, or number in front of the x, is the slope of the line.

The b in the equation represents the y-intercept.

Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.

8 0

3 years ago

A typical sugar cube has an edge length of 1.00 cm. Imagine you have a cubical box that contains a mole of sugar cubes, perfectl

alisha [4.7K]

Answer:

844368.7 m

Step-by-step explanation:

We are given that a typical sugar cube has an edge length of 1.00 cm.

We have to find the edge length of the box in meters.

Edge length of sugar cube=1 cm = $10^{-2}m$ ( $1 cm=\frac{1}{100}m$ )

Volume of a sugar cube= $side\times side\time side=(10^{-2})^3=10^{-6}m^3$

1 mole of sugar= $6.02\times 10^{23}units$

Volume of 1 unit= $10^{-6} m^3$

Volume of $6.02\times 10^{23}$ units= $6.02\times10^{23}\times 10^{-6}=6.02\times 10^{17} m^3$

Volume of box=1 mole of sugar= $6.02\times 10^{17} m^3$

Edge length of box= $\sqrt[3]{6.02\times 10^{17}}=844368.7 m$

6 0

2 years ago