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Alja [10]
3 years ago
15

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics
2 answers:
Radda [10]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

g(x) is f(x) shifted 3 units right and 1 unit up , then

g(x) = (x - 3)² + 1 → B

suter [353]3 years ago
3 0

Answer: B

Step-by-step explanation: Apx

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Daniel hosted a party in which 15 to 45 people could attend and he charged $7 per person for admission. What is the range of adm
irina [24]

Answer:

c. [105,315]

Step-by-step explanation:

6 0
3 years ago
Write 0.216 as a rational number in lowest terms
lozanna [386]

Answer:

=\frac{27}{125}

Step-by-step explanation:

0.216

\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}

\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000

=\frac{0.216\cdot \:1000}{1000}

=\frac{216}{1000}

216,\:1000

\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}

2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3

2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5

\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}

=2\cdot \:2\cdot \:2

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8

=8

=\frac{8\cdot \:27}{8\cdot \:125}

\mathrm{Cancel\:the\:common\:factor:}\:8

=\frac{27}{125}

Hence, the correct answer is =\frac{27}{125}

6 0
2 years ago
What is the given amount converted to the given units 144 ft; inches​
Tatiana [17]

Final Answer: 1728 inches

Steps/Reasons/Explanation:

Question: What is the given amount converted to the given units 144 ft; inches?

Formula to convert feet to inches: Multiply the length value by 12.

<u>Steps</u>: Multiply 144 by 12

144 × 12 = 1728 inches

~I hope I helped you :)~

3 0
3 years ago
Read 2 more answers
3. Evaluate the expression 4(52-3-2x)² where x = 5.<br> O-1296<br> O1296<br> O 576<br> O-576
boyakko [2]

The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.

To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.

The term 5² = 25.

The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.

Taking the terms back to the expression, we get:

4(5² - 3 - 2x)²

= 4(25 - 3 - 10)²

= 4(12)²

= 4(144)

= 576.

Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

Learn more about solving expressions at

brainly.com/question/723406

#SPJ9

3 0
2 years ago
3. Mrs. Brown has 9 cups of flour. Each
hodyreva [135]

Answer:

3/4 of a batch

Step-by-step explanation:

9 out of the total 12 cups is what she has. So this converts into the fraction of 3/4 when simplified so she can make 3/4 of a batch.

6 0
3 years ago
Read 2 more answers
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