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kherson [118]
3 years ago
9

What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0
Hello :
f(-4) = 4(-4)+9 = -7
f(-2) = 4(-2)+9 = 1
f(0) = 4(0)+9 = 9
f(2) = 4(2)+9 = 17
the range of the function f(x) = 4x + 9 is : <span>D' = {-7, 1, 9, 17}</span>
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Find thhe remainder when 7^203 is divided by 4
Aleksandr [31]
Using the square-and-multiply approach, we have

7^{203}=7\times(7^{101})^2
7^{101}=7\times(7^{50})^2
7^{50}=(7^{25})^2
7^{25}=7\times(7^{12})^2
7^{12}=(7^6)^2
7^6=(7^3)^2
7^3=7\times7^2

and so, using the property that, if a_1\equiv b_1\mod n and a_2\equiv b_2\mod n, then a_1a_2\equiv b_1b_2\mod n, we get

7\equiv3\mod4
7^2\equiv9\equiv1\mod4
7^3\equiv7\times1\equiv7\equiv3\mod4
7^6\equiv9\equiv1\mod4
7^{12}\equiv1\mod4
7^{25}\equiv7\times1\equiv7\equiv3\mod4
7^{50}\equiv9\equiv1\mod4
7^{101}\equiv7\times1\equiv7\equiv3\mod4
7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4
4 0
3 years ago
In the collection of beads, StartFraction 4 Over 20 EndFraction are blue. Which model shows the percent of beads that are blue?
jolli1 [7]

Option B model shows the percent of beads that are blue.

Solution:

Fraction of beads blue = \frac{4}{20}

To convert it into percent multiply the fraction by 100.

$\text {Percent of} \ \frac{4}{20}=\frac{4}{20}\times 100\%

                     $=\frac{4\times 100}{20} \%

Cancel the common factors, we get

                    = 20%

                    $=\frac{20}{100}

This means total number of boxes 100 and shaded in blue color 20.

Therefore option 2 represents \frac{20}{100}.

Hence option B model shows the percent of beads that are blue.

8 0
3 years ago
-4 1/4 divided by 2 3/4
yarga [219]

Answer:

-1.5

Step-by-step explanation:

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babunello [35]

Answer:

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Step-by-step explanation:

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Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!
Nonamiya [84]

Answer:

The corresponding answers to the questions are  9.625 cm² , 459, 304.5m², 1 : 3 , 3:4 , 10,000 pounds , 36 inches.

Step-by-step explanation:

1.

Area of triangle = 0.5 x base length x height

Here base length = 5.5cm and height = 3.5cm

So area will be 0.5 x 5.5 x 3.5 cm² = 9.625 cm²

2.

919/2 rounding off to nearest whole

We know that the value of 919/2 = 459.5 .

So the nearest whole number value to which it can be rounded off is 459.

3.

We know that area of parallelogram is base length x height

Here, base length =14.5m and height = 21m

So area = 14.5 x 21 m² = 304.5m²

4.

No. of grilled cheese sandwiches sold = 200

No. of tacos sold                                     = 100

No. of grilled chicken salads sold          = 150

Total lunches sold                                   = 200 + 100 + 150 = 450

So, ratio of chicken salads to lunches sold is 150 : 450 = 1 : 3

5.

Given number : 7,208,631

Odd digits here - 7,3,1 - 3 digits

Even digits here - 2,0,8,6 - 4 digits

So, ratio of odd digits to even digits is 3:4

6.

One ton = 2000 pounds

So 5 tons = 5 x ( 1 ton) = 5 x 2000 pounds = 10,000 pounds

7.

Table length = 3 feet

We know that 1 foot = 12 inches

So table length = 3 foot = 3 X 12 inches = 36 inches

8 0
3 years ago
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