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Vesna [10]
3 years ago
5

A man is 32 years older than his daughter and the product of their ages is 320..

Mathematics
1 answer:
gogolik [260]3 years ago
8 0
A) the man is 40 and the daughter is 8
b)in 8 years when the man is 48 and the daughter is 16
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The image of the point (3, -4) under a translation is (0, –5). Find the coordinatesof the image of the point (8,7) under the sam
Sav [38]

We will have the following:

*First: We determine the translation rule:

We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

(x,y)\to(x-3,x-1)

Second: We apply the translation rule to the other point to determine it's image, that is:

(8,7)\to(8-3,7-1)\to(5,6)

So, the image of the second point is (5, 6).

6 0
1 year ago
The average cost for a gallon of gasoline increased from $2.56 one year to $3.18 the next year. What is the percent of increase,
Kitty [74]
From 2.56 to 3.18; 3.18-2.56=0.62 increased 
so if 2.56 represented 100%
       0.62 represents     ? %
cross multiply 
?%= 0.62·100/2.56=24.21875 which rounded to the nearest whole is 24%
Answer is B).
7 0
3 years ago
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A table shows a proportional relationship where k is the constant of proportionality. The rows are then switched. How does the n
andrew-mc [135]

Answer:

Read all of it it’s gonna help alot

Step-by-step explanation:

6 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
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A student records the feather colors and beak shapes of every bird observed in a park. What kind of data is the student recordin
Sav [38]

Answer:

the feather colors and beak shapes of every bird observed in a park.

Step-by-step explanation:

you said it in your question

4 0
3 years ago
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