All categories

4 years ago

I'm confuse with these questions

Mathematics

1 answer:

alexdok [17]4 years ago

3 0

8 a) y=x² stretched vertically by 8

That means (0,0) stays (0,0), and (1,1) becomes (1,8) and (-1,1) becomes (-1,8)

Answer: y = 8x²

8 b) y=x² compressed vertically by 1/5

Answer: y = (1/5) x²

y = ax² + k through (-1,3) and (3,-13)

That means

3 = a (-1)² + k

-13 = a (3²) + k

Subtracting,

16 = a - 9a = -8a

a = -2

3 = -2 + k

k = 5

y = -2x² + 5

Check:

-2(-1)^2 + 5 = 3, good

-2(3)^2+5 = -18 + 5 = -13, good

Answer: a = -2, k = 5

You might be interested in

In a fruit juice recipe, the ratio by volume of orange juice to pineapple juice to apple juice is 2:7:5. How many

Vlad [161]

If orange:pineapple:Apple juice ratio is
2:7:5, pineapple juice would make up 7/14 of the whole juice mixture, which equals to 1/2. 1/2 of 3 litres = 1.5 litres
1.5/3 = 1/2
The answer would be B (1/2)

6 0

3 years ago

Read 2 more answers

Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

$\displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r}$

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

4 0

3 years ago

What is the unit rate?

MaRussiya [10]

Two points

(5,5)
(-5,4)

Slope

m=4-5/-5-5
m=-1/-10
m=1/10

6 0

2 years ago

What is an inequality

agasfer [191]

Inequalities are number sentences that compare two numbers. sometimes we use variables when writing inequality’s.

3 0

3 years ago

Two containers of gasoline hold a total of 43 gallons. The big container can hold 8 less than twice the

WITCHER [35]

Answer:10

Step-by-step explanation:

3 0

3 years ago