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3 years ago

Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the vertex of the parabola? *

Mathematics

2 answers:

Masja [62]3 years ago

4 0

Answer:

vertex is (-4,-6)

Step-by-step explanation:

put x+4=0

x=-4

when x=-4

f(x)=-6

balu736 [363]3 years ago

3 0

Answer:

(-4,-6)

Step-by-step explanation:

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the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the i

3241004551 [841]

ANSWER

$f(3) = - 25$

EXPLANATION

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:

$= \frac{f(b) - f(a)}{b - a}$

If the average rate of change over the interval [3, 5] is 19, then;

$\frac{f(5) - f(3)}{5 - 3} = 19$

From the to table f(5)=13

$\frac{13 - f(3)}{2} = 19$

$13 - f(3) = 19 \times 2$

$13 - f(3) = 38$

$- f(3) = 38 - 13$

$- f(3) = 25$

$f(3) = - 25$

7 0

3 years ago

Solve the system of equations using the substitution method. y=2+1/4x,

skelet666 [1.2K]

Answer: (4,3)

Step-by-step explanation:

1. In this method you must solve one of the equation for one of the variables and substitute it into the other equation to find the other variable. Then, substitute the value of that variable into one of the original equation to obtain the value of the other one.

2 You have that:

$y=2+1/4x$

3. Then, you can substitute it into the other equation and solve for x:

$3x-5(2+1/4x)=-3\\3x-10-5/4x=-3\\7/4x=7\\x=4$

4. Now you can obtain y:

$y=2+1/4x$

$y=2+1/4(4)\\y=3$

5. The answer is:

(4,3)

6 0

3 years ago

Please help very urgent

pashok25 [27]

Answer:

y = 4x - 2

Step-by-step explanation:

8 0

3 years ago

3.4×5

d1i1m1o1n [39]

Answer:

a) 17

b) 0.912

c) 0.00012

d) 34.37

e) 3.896

f) 23.912

g) 3.856

h) 0.19393

7 0

2 years ago

If Naomi were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 8 hours. How many hou

denpristay [2]

Answer: it would take them 40/13 hours

Step-by-step explanation:

If Naomi were to paint her living room alone, it would take 5 hours. it means that the rate at which she paint her living room alone is 1/5

Her sister Jackie could do the job in 8 hours. it means that the rate at which Jackie paint the living room is 1/8

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/5 + 1/8 = (8 + 5)/40 = 13/40

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

13/40 = 1/t

t = 40/13 hours

5 0

3 years ago