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Genrish500 [490]
3 years ago
10

Julie runs 1 1/2 miles in 1/3 hour.How many miles will she run per hour at the same speed?

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0
Multiply 3 * 1 1/2 to find how many miles she runs per hour

1 1/2 * 3

3/2 * 3

9/2

4 1/2       She will run 4 1/2 or 4.5 miles per hour.
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1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius
stepladder [879]

Answer:

30 degrees

Step-by-step explanation:

If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30

Please brainlist!

5 0
2 years ago
32% of what weight is 60 oz?
oksian1 [2.3K]

Answer:

200 oz

Step-by-step explanation:

Just use the equation

0.32x=200

6 0
2 years ago
Read 2 more answers
Find the solutions of (x – 4)(x – 4) = 0.
lisabon 2012 [21]

Answer:

Step-by-step explanation:

(x – 4)(x – 4) = 0.

So factor are x-4=0

X=4 (D) is the answer

7 0
3 years ago
Will pick brainliest if ur answer is correct
Gnesinka [82]

Answer:

A

Step-by-step explanation:

Hopefully this helps

6 0
2 years ago
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