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3 years ago

a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

Answer:

$2( {x + 7})^{2} + 5$

Step-by-step explanation:

Our Standard form for each of these transformations is

$a( {x + h)}^{2} + k$

Insert each value into the appropriate.

K is for vertical movement

h is for horizontal

a is for stretching/compression

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one-third of the people from country A claim that they are from country B, and the rest admit they are from country A. One-fourt

In-s [12.5K]

Answer: 3 : 2

Step-by-step explanation:

Let A represents the total population of country A and B represents the total population of country B.

According to the question,

$\text{The population of country A that admit they are from B} = \frac{1}{3}\text{ of }A$

⇒ $\text{ The population of A that admit they are from country A }= A - \frac{1}{3} \text{ of } A$

$= \frac{3-1}{3} A$

$= \frac{2}{3} A$

$\text{The population of country B that admit they are from A} = \frac{1}{4}\text{ of }B$

⇒ $\text{ The total population that claims that they are from A }= \frac{2}{3} A +\frac{1}{4} B$

But, Again according to the question,

The total population that claims that they are from A = one half of the total population of A and B.

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}(A+B)$

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}A+\frac{1}{2}B$

⇒ $\frac{2}{3} A - \frac{1}{2}A= \frac{1}{2}B-\frac{1}{4} B$

⇒ $\frac{4}{6} A - \frac{3}{6}A= \frac{2}{4}B-\frac{1}{4} B$

⇒ $\frac{1}{6} A = \frac{1}{4} B$

⇒ $A =\frac{6}{4}B$

⇒ $\frac{A}{B} =\frac{3}{2}$

8 0

4 years ago

Emir made $182 in interest by placing $700 in a savings account with simple interest for 2 years. What was the interest rate?

Pavlova-9 [17]

Answer:

7.69230%

R=I/P×T

R=$182/$700×2

R=182/1400

R=91/700

=7.69230%

6 0

3 years ago

Multiply the following<br> (-7pq^2r^3) * (-13p^3q^2r)

artcher [175]

Answer:

$91p^{1+3q^{2r}}q^{2r^3}$

Step-by-step explanation:

$(-7pq^2r^3) * (-13p^3q^2r)$

= 91 $p^{1+3q^{2r} }$ * $q^{2r^{3} }$

= $91p^{1+3q^{2r}}q^{2r^3}$

7 0

3 years ago

The least common multiple of 20,5, and 2.

USPshnik [31]

Answer:

Step-by-step explanation:

the lowest number they can all muliply to is 20

20 x 1 = 20

5 x 4 = 20

2 x 10 = 20

8 0

3 years ago

#6* #6 Multiples Σ > Which answer choice has ONLY multiples of a. 7, 14, 21, 35, 56 b. 7, 21, 27, 35, 49 c. 7, 14, 28, 43, 56

Scilla [17]

Answer:

Step-by-step explanation:

B) No 27 is a multiple of 3 alone.

C) No 43 is prime. If you replaced it with 42 all would be well.

D) N 53 is prime.

A) everything is divisible by 7.

3 0

3 years ago

a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2​

a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2