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3 years ago

Ignore my handwriting but here’s some math i need for tomorrow

Mathematics

1 answer:

Vitek1552 [10]3 years ago

6 0

FYI - 14,15,16 are correct.

17. a) 7 (nearest integer), b) 6.8 (nearest tenth)

18. a) 14 (nearest integer), b) 13.8 (nearest tenth)

19. $\sqrt{40}$ --> simplified to = 2 $\sqrt{10}$

-- let me know if you have any questions regarding this.

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Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)

crimeas [40]

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

8 0

2 years ago

6. (03.06) Which of the following will give you the Incorrect slope? (1 point)

creativ13 [48]

The last one will give the incorrect slope

4 0

2 years ago

The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?

7nadin3 [17]

Length = l

Width = w

Perimeter = p = 100

Perimeter of rectangle = 2(l+w)

100 = 2 (4w + w)

100 = 2(5w)

100 = 10w

100/10 = w

10 = w

w = 10

Area of rectangle = length * width

a = l*w

a = 4w*w

a = 4w^2............(1)

Put the value of w in (1)

a = 4(10)^2

a= 4(100)

a = 400 yd^2

4 0

3 years ago

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your

Mila [183]

The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.

<h3>What are the critical values of r?</h3>

Question Parameters

r = -0.868

n = 5

df = 5 - 2

df = 3

$\alpha / 2 =0.025$

Critical values $r= \pm 0.878$

Generally, there exists no linear correlation between the Critical values

as r=0.878

In conclusion, Critical values: r = +0.487, no significant linear correlation

Read more about Critical values

brainly.com/question/14508634

#SPJ1

5 0

2 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago