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masya89 [10]
3 years ago
13

Given the parabola whose equation is , find the focus and determine if the parabola opens up or down.

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
The equation of a parabola is:
y = ax {}^{2}  + bx + c
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
( -  \frac{b}{2a}  \:  \:   \frac{1 - b {}^{2}  + 4ac}{4a} )
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In a school, there is a ratio of 4 boys to 5 girls. If there are a total of 450 students, how many girls are there? *
denpristay [2]

Answer: there are 200 girls in the school.

Step-by-step explanation:

In a school, there is a ratio of 4 boys to 5 girls. The total ratio would be the sum of the proportion of boys and the proportion of girls. Therefore,

Total ratio = 4 + 5 = 9

If there are a total of 450 students, it means that the number of girls in the school would be

Proportion of girls/ total ratio × total number of students. Therefore,

The number of girls is

5/9 × 450 = 200

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3 years ago
9. At soccer practice, Joan kicked the ball 22 feet. This was 3 feet shorter than Joe kicked the ball. Write and solve a subtrac
mote1985 [20]
X-22=3
x=25.
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2 years ago
Which of the following sets of points are reflections of each other across the x-axis?
bekas [8.4K]
1. <span>A. (4, -7) → (4, 7)

2. </span><span>D. (-2, 7)

3. </span><span>B. (4, -7) → (-4, -7)

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What happens when there is a low camber?
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3 years ago
A software distributor charges \$41$41dollar sign, 41 per license of a particular utility. The distributor offers a 10\%10%10, p
Alchen [17]

Answer:

1558

Step-by-step explanation:

The first 202020 licenses cost full price, which is \$41$41dollar sign, 41 each. Thus, the first 202020 licenses cost a total of \$41 \cdot 20 = \$820$41⋅20=$820dollar sign, 41, dot, 20, equals, dollar sign, 820.

Hint #2

The remaining licenses have a 10\%10%10, percent discount. That means they cost 90\%90%90, percent of the full price. Let's write 90\%90%90, percent in its decimal form, 0.90.90, point, 9, in order to multiply.

\qquad 0.9 \cdot \$41 = \$36.900.9⋅$41=$36.900, point, 9, dot, dollar sign, 41, equals, dollar sign, 36, point, 90

Hint #3

There are 40 - 20 = 2040−20=2040, minus, 20, equals, 20 licenses at the reduced price of \$36.90$36.90dollar sign, 36, point, 90. Thus, the remaining 202020 licenses cost a total of \$36.90 \cdot 20 = \$738$36.90⋅20=$738dollar sign, 36, point, 90, dot, 20, equals, dollar sign, 738.

Hint #4

To find the cost for all 404040 licenses, let's add the costs of the full price and discounted licenses.

\qquad \$820 + \$738 = \$1558$820+$738=$1558dollar sign, 820, plus, dollar sign, 738, equals, dollar sign, 1558

Hint #5

The business would pay \$1558$1558dollar sign, 1558 to buy the licenses.

3 0
3 years ago
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