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Nataliya [291]
3 years ago
9

A(n)____(rational/irrational) number must be chosen based on the rule

Mathematics
2 answers:
kari74 [83]3 years ago
6 0
Rational The answer to your question
kvv77 [185]3 years ago
3 0
Rational number.

a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.
jek_recluse [69]

Answer:

Choice B: y = 2\, (x - 6)^{2} + 5.

Step-by-step explanation:

For a parabola with vertex (h,\, k), the vertex form equation of that parabola in would be:

\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}.

In this question, the vertex is (6,\, 5), such that h = 6 and k = 5. There would exist a constant a such that the equation of this parabola would be:

y = a\, (x - 6)^{2} + 5.

The next step is to find the value of the constant a.

Given that this parabola includes the point (7,\, 7), x = 7 and y = 7 would need to satisfy the equation of this parabola, y = a\, (x - 6)^{2} + 5.

Substitute these two values into the equation for this parabola:

7 = (7 - 6)^{2}\, a + 5.

Solve this equation for a:

7 = a + 5.

a = 2.

Hence, the equation of this parabola would be:

y = 2\, (x - 6)^{2} + 5.

4 0
3 years ago
What is the GCF of 27 andd 63?
Alona [7]

Answer:

9

Step-by-step explanation:

Greatest common factor (GCF) of 27 and 63 is 9.

6 0
3 years ago
I need to know how to solve in order to find the equation parallel to the one given.
vampirchik [111]
The answer is A.
If you are asked to find an equation parallel to the other, make sure the equations have the SAME SLOPE, DIFFERENT Y-INTERCEPT
7 0
3 years ago
a recipe recalls for Papaya juice and carrot juice. the equation represents the proportional relationship between the number of
Temka [501]
Google says. ..

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.

Now let's do it

2. 2 is not shown in the picture

3. 2 1/2 sugar/7 1/2 flour = x sugar/1 flour

cross multiply: 2 1/2/7 1/2 = x/1
7 1/2x = 1(2 1/2) ... 15/2x = 5/2 ... x=5/2×2/15= 1/3
answer: 1/3 cup sugar = 1 cup flour ... 1/3s:1f

5. 1 1/3p/3 1/3c = ₩p/1c

cross multiply: (1 1/3)/(3 1/3) = ₩/1
3 1/3₩= 1(1 1/3) ... 10/3₩=4/3 ... ₩=4/3×3/10
₩=4/10=2/5 qt papaya
2/5 qt papaya = 1 qt carrot ... 2/5p:1c
5 0
3 years ago
Find the x- and y-intercepts of the graph of x - 6y = 16. State your answers as
Nataly_w [17]
The x-int is (16,0)

you plug in 0 for y and solve

x-6(0)=16

x=16

the y-int is (0, -8/3)

you plug in 0 for x and solve

0-6y=16

y= -16/6

simplify by dividing both the numerator and the denominator by 2

y= -8/3
5 0
3 years ago
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