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3 years ago

80Divided by 3 plz help

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Answer:

Your answer is 26.667

hope this helps

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1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

Which description does not apply to the figure given below

nikklg [1K]

Im not smart but i think it is b. because there is no right angle

6 0

3 years ago

a fair dice is rolled. work out the probability of getting a number more than 2. give your answer in its simplest form

Amanda [17]

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%

5 0

3 years ago

Read 2 more answers

The sum of two numbers is ten. Using x to represent the smaller number, translate "the difference between twice the larger numbe

Agata [3.3K]

The larger number is 10 - x.
2(10 - x) - (-20)
20 - 2x + 20
40 - 2x

8 0

3 years ago

the results of a poll indicate that between 33% and 37% of the population of a town visit the library at least once a year. what

Vera_Pavlovna [14]

The margin of error is ±2%

<h3>What is Margin error?</h3>

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.

Let x be margin of error and y be the percentages of the population.

So,

y-x =33%

y +x = 37%

Solving above equations

2y= 70

y= 35%

and x= 2%

Hence, the margin of error is ±2%.

Learn more about this concept here:

brainly.com/question/11421935

#SPJ1

6 0

2 years ago