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Molodets [167]
3 years ago
14

Considerando o diagrama, determine:

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0
????aye?? what dont understand
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Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Leto [7]

Answer:

see explanation

Step-by-step explanation:

(1)

Given

g(r) = (r + 14)² - 49

To obtain the zeros, let g(r) = 0 , that is

(r + 14)² - 49 = 0 ( add 49 to both sides )

(r + 14)² = 49 ( take the square root of both sides )

r + 14 = ± \sqrt{49} = ± 7 ( subtract 14 from both sides )

r = - 14 ± 7, then

r = - 14 - 7 = - 21 ← smaller r

r = - 14 + 7 = - 7 ← larger r

(2)

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

g(r) = (r + 14)² - 49 ← is in vertex form

with vertex = (- 14, - 49 )

4 0
2 years ago
Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is 5y + 4 =(x+3)^{2}  + \frac{1}{2}

Therefore we can write 5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4  \hspace{0.3cm}   \Rightarrow  \hspace{0.2cm}  5y = (x+3)^{2} - \frac{7}{2}   \hspace{0.3cm} \Rightarrow \hspace{0.3cm}  y = \frac{(x+3)^{2}}{5} - \frac{7}{10}

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

x = \frac{(y+3)^{2}}{5} - \frac{7}{10}

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm}  y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

8 0
3 years ago
Read 2 more answers
13. please help with this
posledela

Answer:

Looking at the question and goin step by step

we get to know that equation formed wud be ->

product of nine and a number - 9*x = 9x

added to 6 => 9x+6

gives us 24

so

9x + 6 = 24

now 9x = 18 and x = 18/9 = 2

and now keeping x value = 9 *(2)+6 we get 18+6 = 24

so lhs = rhs = 24

9x+6=24 option a

7 0
2 years ago
Brainliest. follow anything . box of chocolates contains seven milk chocolates and six dark chocolates. Five of the milk chocola
Olenka [21]

Answer:

8/13

Step-by-step explanation:

has the slightly lower numbers meaning 11/13 would be milk chocolate with peanuts, and 8/13 would be the dark chocolate

6 0
3 years ago
Read 2 more answers
Evaluate the expression when a is -5 and y is 7
sasho [114]

a - 5y

when a = -5 and y = 7 :

( - 5) - 5(7) =  - 5 - 35 =  - 40

Answer: -40

ok done. Thank to me :>

7 0
2 years ago
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