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3 years ago

If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

Answer:

C. g(x) + (-3x + 1)2

Step-by-step explanation:

did the test for it

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Please help I will mark brainlist

Naya [18.7K]

Answer:

B x = sqrt(48)

Step-by-step explanation:

Half of the bottom side measures 4.

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = sqrt(48)

Answer: B x = sqrt(48)

4 0

3 years ago

Find the quotient of these Complex Numbers. (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0

3 years ago

Solve by completing the square. x2-6x+8 Show solving steps please.

devlian [24]

Answer:

(x−2)(x−4)

Step-by-step explanation:

Let's factor x2−6x+8

x2−6x+8

The middle number is -6 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -6

Multiply together to get 8

Can you think of the two numbers?

Try -2 and -4:

-2+-4 = -6

-2*-4 = 8

Fill in the blanks in

(x+_)(x+_)

with -2 and -4 to get...

(x-2)(x-4)

Hope this helps! Also, if it's no trouble, can I have brainliest? Thanks! :D

4 0

3 years ago

Read 2 more answers

Alfonso makes $8.00 per hour working at a movie theater and $12.00 per hour working at a restaurant. Next week, Alfonso is sched

aksik [14]

(8 x 6) 8h =144
48+ 8h=144
144-48= 96
8h=96
96 divided by 8= 12
So he should have to work 12 hours at the restaurant. Hope this helps and sorry if it’s wrong!

8 0

4 years ago

Read 2 more answers

Using the provided measures determine the measure of angle K.

forsale [732]

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

$\frac{sin(K)}{GF} = \frac{sin(G)}{KF}$

Substitute

$\frac{sin(K)}{3.18} = \frac{sin(64)}{5}$

Multiply both sides by 3.18

$sin(K) = \frac{sin(64)}{5}*3.18$

$sin(K) = 0.5716$

$K = sin^{-1}(0.5716)$

K = 34.8618741° ≈ 34.90°

5 0

2 years ago