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jonny [76]
3 years ago
9

What are the verter and x-intercepts of the graph of the function given below? y=x2-2x-35

Mathematics
1 answer:
horsena [70]3 years ago
5 0

For x intercepts, plug in 0 for y.

               0 = (x^2) - 2x - 35

*factoring* = (x-7)(x+5)

x intercepts = 7,-5

As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex

so,

x = -b/2a = -(-2)/2 = 1

then just find the y value by plugging it back in to the equation.

y = ((1)^2) - 2(1) - 35

= -36

so, vertex is at (1,-36)

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Evaluate 10^C6 and 4^P3
Rus_ich [418]

Answers

Part 1: 210

Part 2: 24


Explanation



Part 1

This is called combination. 

ⁿCm means, the number of different combinations of m objects out of n objects. 

¹⁰C₆ = 10!/10!(10-6)!

        = 10!/(6!×4!)

        =210


Part 2

This is called permutation.

If you have nPm, this means the number of permutations of m objects out of n.

It's solve as follows;


nPm = n!/(n-m)!

⁴P₃ =4!/(4-3)!

      = 4!/1!

       = 24




5 0
3 years ago
Read 2 more answers
A large company increased its sales from last year to this year by 34%.
AlexFokin [52]

Given:

The last year sales = $288,000,000

Company increased its sales from last year to this year by 34%.

To find:

The this year's sales to the nearest million dollars.

Solution:

We have,

The last year sales = $288 million

The company increased its sales from last year to this year by 34%. So,

This year's sales =288+288\times \dfrac{34}{100}

                            =288+97.92

                            =385.92

                            \approx 386

Therefore, this year's sales were 386 million dollars or $386,000,000.

8 0
3 years ago
True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false,
tiny-mole [99]

In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number r such that

a_{n+1}-a_n=r\quad \forall n\geq 1

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number r such that

\dfrac{a_{n+1}}{a_n}=r\quad \forall n\geq 1

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.

For example, any sequence starting with

1, 15, -3,\ldots

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.

5 0
3 years ago
Slope = 4, passing through (-6, 8)
Mademuasel [1]

The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.

In order to find this, we'll start with the base form of point-slope form.

y - y1 = m(x - x1) ----> Plug in the numbers

y - 8 = 4(x - -6) ----> Simplify

y - 8 = 4(x + 6)

Now to find slope intercept form, solve for y.

y - 8 = 4(x + 6) ----> distribute the 4

y - 8 = 4x + 24 -----> add 8 to both sides

y = 4x + 32

7 0
3 years ago
8. What is m&lt;1<br> 77<br> 1<br> 56<br> A 103°<br> | C 133°<br> C °<br> D 124°<br> B 47°
saveliy_v [14]

Answer:

Option C

Step-by-step explanation:

Exteriore angle property: Exterior angle equals the sum of opposite interior angles.

∠I = 77° + 56°

    = 133°

5 0
2 years ago
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