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1 year ago

The graph below shows the same shape was pushing the blue graph

Mathematics

1 answer:

Liula [17]1 year ago

3 0

These are some Rules for the transformations of a function f(x):

a. If the function is shifted left "h" units, then:

$f(x+h)$

b. If the function is shifted right "h" units:

$f(x-h)$

c. If the function is shifted up "h" units:

$f(x)+h$

d. If it is shifted down "h" units:

$f(x)-h$

Notice that the red graph is this function:

$F(x)=x^2$

And both have the same shape, but the blue one is moved to the left 2 units. Therefore the equation of the blue graph is:

$G(x)=(x+2)^2$

THE ANSWER IS OPTION A.

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sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years

andre [41]

Answer:

the value of the investment after 3 years= £11,904

Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

number of years = 3

Formula for simple interest

I = P*n* r

P is the initial amount invested= 9600

r is the rate of interest = 8% = 0.08

n = number of years = 3

Now we find interest using formula

I = 9600 * 0.08 * 3= 2304

Interest amount is 2,304

Now we add the interest with the initial amount to get the value of investment after 3 years

9600 + 2304= 11904

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3 years ago

Find the measure of each marked angle!!

tamaranim1 [39]

Answer:

60 is the answer

Step-by-step explanation:

10x - 20 = 7x + 4 (Corresponding angles)

10x - 7x = 20 + 4

3x = 24

x = 8

substituting the values,

10(8) - 20

80 - 20

similarly the other angle is 60 since they are corresponding angles.

8 0

3 years ago

Find the distance for d

antiseptic1488 [7]

Answer:

320 i think

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

3 years ago

The circumference of the circle is about ? Inches

stiv31 [10]

Answer:

18.84 inches

Step-by-step explanation:

The circumference is given by

C = pi d where d is the diameter

C = 3.14 *6

C = 18.84

3 0

2 years ago