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Alexeev081 [22]
4 years ago
14

If f(x) = x^2, which of the following describes the graph of f(x) - 5?

Mathematics
2 answers:
notka56 [123]4 years ago
8 0

Answer:

B

Step-by-step explanation:

12345 [234]4 years ago
7 0
In any given equation, a positive or negative number that isn't multiplied by a variable is called "b", or "y-intercept." Seeing as y-5 (f(x) is the same as y) isn't an equation, it probably means you need to add 5 to both sides to isolate y.
you end up with y=5, a horizontal line in which every "y" value in every set of points is equal to 5
Ex: (1,5),(2,5),(3,5)...
this means that your parent function of y=0 has a vertical shift upwards of five. hope I could help :)
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Demonstrate how repeated subtraction can be used to show that 22 dividend by 7 = 3 r 1
Rudik [331]
22-7-7-7=1 this will show that you can subtract 7 three times from 22 and have a remainder of 1.
6 0
4 years ago
In the late 18th century, a decimal clock was proposed, in which there were 100 'minutes' in one 'hour' and 10 'hours' in one da
Marrrta [24]

Answer:

2:50

Step-by-step explanation:

On an ordinary clock, there are 24 hours.

1)  6/24 = 0.25   (The percentage in which the day has passed)

2) 10 (total hours in a day in the decimal clock) * x 0.25 = 2.50

3) 2.5 Hours. On a typical clock, that would read 2:30, however, because the decimal clock proposes that there are 100 minutes in one hour, it will be 2:50, Therefore, the clock will display 2:50

3 0
3 years ago
HELPPPPPPPPPP due in 10 min
nlexa [21]

Answer:

8 is the length of JB

Step-by-step explanation:

<u>Key skills needed: Equations, Congruence</u>

1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:

  • JB is congruent to BK
  • Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
  • Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side

2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.

3) This means that 16x -24 = 4x

Subtract 16x from both sides : -24 = -12x

Divide by -12 on both sides and get x = 2

4) Substitute x into the length of JB (16x-24)

16(2)-24 = 32-24 = 8

5) Therefore, the length of JB is 8

<em>Hope you understood and have a nice day!! :D</em>

4 0
3 years ago
A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of the state’s citrus crop. It t
inna [77]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

  • <em>The linear equation of the function is: </em>g(P) =22.9P +7<em>, while its inverse is: </em>g^{-1}(c) = \frac{c - 7}{22.9}<em>.</em>
  • <em>The domain is from 0% to 100%, while the range is from 7 to 29.9</em>

<em />

Given that:

c = g(P)

<u>Input and Output quantity</u>

The input quantity is the <em>percentage of frozen citrus crop</em>, while the output quantity is the <em>cost of box of oranges</em>

<u>Linear Function</u>

The given parameters can be written as:

(P_1,c_1) = (20\%, 11.58)

(P_2,c_2) = (80\%, 25.32)

Calculate the slope (m)

m = \frac{c_2 - c_1}{P_2 - P_1}

So, we have:

m = \frac{25.32 - 11.58}{80\% - 20\%}

m = \frac{13.74}{60\%}

m = 22.9

The equation is then calculated using:

c =m(P - p_1)  + c_1

So, we have:

c =22.9(P - 20\%)  + 11.58

c =22.9P - 4.58  + 11.58

c =22.9P +7

So, the function is:

g(P) =22.9P +7

<u>The domain and the range</u>

The domain is the <em>possible input value (i.e. possible values of P).</em>

Because P is a percentage, its possible values are 0% to 100%.

Hence, the domain of the function is: [0\%,100\%]

The range is the <em>possible output value (i.e. possible values of c).</em>

When P = 0% and 100%

c = 22.9 \times 0\% + 7 = 7

c = 22.9 \times 100\% + 7 = 29.9

Hence, the range of the function is: [7,29.9]

<u>The meaning of </u>g^{-1}(12)<u />

g^{-1}(12) is an inverse equation, where 12 represents the <em>cost of box of oranges.</em>

So, g^{-1}(12) represents the percentage of frozen citrus crop, when the cost is $12.

<u>The inverse formula</u>

We have:

c =22.9P +7

Make P the subject

22.9P = c - 7

Divide by 22.9

P = \frac{c - 7}{22.9}

So, the inverse function is:

g^{-1}(c) = \frac{c - 7}{22.9}

<em>This is used to calculate the percentage of frozen citrus crop, when the cost is known.</em>

<em />

g^{-1}(c) = \frac{c - 7}{22.9}

Substitute 12 for c

g^{-1}(12) = \frac{12 - 7}{22.9}

g^{-1}(12) = \frac{5}{22.9}

g^{-1}(12) = 22\%

Read more about linear equations at:

brainly.com/question/19770987

4 0
3 years ago
The ratio of petunias to geraniums in the greenhouse was 15 to 2. The combined numbernof petunias and geraniums was 1020.
AnnZ [28]

Answer:

E. 120

Step-by-step explanation:

Let's say the number of total flowers is (15+2)x

That means the number of geraniums is 2x.

That also means that 1020 = 17x, which makes x = 60

Because 2x = geraniums and x = 60, the number of geraniums is 120

8 0
3 years ago
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