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Verizon [17]
1 year ago
14

9. What is the vertex of the function? f(x) = 3x² - 8x + 10​

Mathematics
1 answer:
Delvig [45]1 year ago
7 0

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

Y = 3x^{2}  - 8x + 10\\Compare with the form of   y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.

Calculate -b/2a:

X = -(-8)/2(3)

X = 8/6

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

Y = 3x^{2} - 8x + 10

Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10

Y = \frac{48}{9} - \frac{64}{6} + 10\\

This is equal to 4.66 reccuring.

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The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2
alexandr1967 [171]
Solve for "y" and you get y=3x/2-2 and the equation for a line is y= mx+b, I mean the slope is the number which companion the "x" in the line equation, so the slope in your problem is 3/2
4 0
2 years ago
Please help! what is y+7=-1/7(x+4) in slope intercept form?
Stells [14]
We know that
the equation of a line in <span>slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept  point when x=0

</span><span>y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
</span>y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)

the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57

see the attached figure

6 0
2 years ago
A tv show is on from 7:00 to 8:00pm.If there are 18 minutes of advertisements during that time,what percent of the show was adve
svetlana [45]
There are 60 minutes in an hour and percent means per one hundred so:

p/100=18/60

p=1800/60

p=30%
3 0
3 years ago
Read 2 more answers
To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the
AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0
2 years ago
¿cual es el perimetro total de un paralelogramo obicuo cuya base mide 2∛54x² cm , y cuyo lado oblicuo mide 3∛54x²?
Step2247 [10]

Answer:

p=10\sqrt[3]{54}x^2

Step-by-step explanation:

We are given parallelogram

Since, two opposite sides of any parallelogram are always equal

Let's assume first side =a

second side =b

so, we get

a=2\sqrt[3]{54}x^2

b=3\sqrt[3]{54}x^2

now, we can find perimeter

perimeter=2a+2b

so, we get

p=2(2\sqrt[3]{54}x^2)+2(3\sqrt[3]{54}x^2)

we can simplify it

p=4\sqrt[3]{54}x^2+6\sqrt[3]{54}x^2

p=10\sqrt[3]{54}x^2................Answer


6 0
3 years ago
Read 2 more answers
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