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Lostsunrise [7]
2 years ago
12

A parabola opens up and passes through (-4, 2) and (6, -3). How do you know that (-4, 2) is not the vertex

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer:

Step-by-step explanation:

The minimum is at the vertex of this parabola because it opens up.

Now if (-4, 2) is the minimum then  all the y values on the parabola must be > 2,

But we are given that  y = -3 is on the graph ( the point (6,-3) - that is y < 2 here,

Therefore (-4, 2)  cannot be the vertex .

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If f(x)=3x^2-2 and g(x)=4x+2 what is the value of f+g 2
Papessa [141]

Answer:

20

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 3x² - 2 + 4x + 2 = 3x² + 4x

Substitute x = 2 into f(x) + g(x)

(f + g)(2) = 3(2)² + 4(2) = (3 × 4) + 8 = 12 + 8 = 20

5 0
3 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
a_sh-v [17]
Is if you round the 7 to a 10 and do the 12 round it to a 10 10 Times10 is 100
8 0
3 years ago
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinate
MatroZZZ [7]

Answer:

C. 10 000

Step-by-step explanation:

If we called:

x = children who have been vacinated against rubella only

2x = children who have been vaccinated against mumps

y = children who have been vaccinated agains both

Children who have been vaccinated against mumps only = x - y

And we know that y = 2*(x-y)

=> 2y = 3x

y = 5000

There fore x = 7500

The number of children who have been vaccinated against rubella

= 2x - y = 2*7500 - 5000 = 15 000 - 5000 = 10 000

4 0
4 years ago
Veronica owns stocks worth 11,200. She owes 4,500 on her student loans and 800 on her credit cards. She owes 6,000 on her car th
TEA [102]

Answer:

$300

Step-by-step explanation:

has: $11,200 plus $400

owes: $4500+ $800+ $6000

$11,600- $11, 300= $300

6 0
4 years ago
Cat face x+4/5=45 sa il aflu pe x
love history [14]

Given:

The equation is

x+\dfrac{4}{5}=45

To find:

The value of x.

Solution:

We have,

x+\dfrac{4}{5}=45

Isolating the variable, we get

x=45-\dfrac{4}{5}

x=\dfrac{225-4}{5}

x=\dfrac{221}{5}

x=44.2

Therefore, the value of x is 44.2.

6 0
3 years ago
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