Select the correct answer.
If the factors of quadratic equation are (x + 4) and (x – 9), what are the x-intercepts?

A.
(-9,0) and (-4,0)
B.
(-9,0) and (4,0)
C.
(-4,0) and (9,0)
D.
(4,0) and (9,0)
PLATO

Answer:

49°

Step-by-step explanation:

x= 90-41 = 49°

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Answer:

I would assume x = 49° since 49+41=90 and it appears to be a 90° angle

Answer:

1917 when reduced by 8 then rounded is 2020

Step-by-step explanation:

Answer: - 2/3 but in decimal form it is -0.6 repeating

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 20.5

Step-by-step explanation:

The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.

Let 'x' be the horizontal distance on the ground. Then the equation is given as,

38² = 32² + x²

Simplify the equation, then we have

1444 = 1024 + x²

x² = 420

x = 20.5 feet

The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

6.64mm² multiply the cm and get that

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Answer:

see below

Step-by-step explanation:

When multiplying or dividing an inequality by a positive, the inequality remains the same direction

3x < 6

Divide by 3

3x/3 < 6/3

x <2

When multiplying or dividing an inequality by a negative, the inequality changes direction

-3x < 6

-3x/ -3 > 6/-3

x > -2

Answer:

[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]

Option B: 20.9°

Answer:

Step-by-step explanation:

A). From the table of relative frequencies,

Let the relative frequency of women who prefer mineral water = x

Total of relative frequencies of women preferring purified water and mineral water = 0.59

Since, Total of relative frequencies of women who prefer purified water and mineral water = Relative frequency of women preferring purified water + Relative frequency of women preferring mineral water

0.59 = 0.14 + x

x = 0.59 - 0.14

x = 0.45

B). Relative frequency of men  who prefer mineral water = 0.13

Let the frequency of men who prefer mineral water = x

Since, relative frequency = [tex]\frac{\text{Frequency}}{\text{Total of frequencies}}[/tex]

0.13 = [tex]\frac{x}{200}[/tex]

x = 200 × 0.13

x = 26

Therefore, number of shoppers who are men and prefer mineral water = 26

Answer:

x = 7

Step-by-step explanation:

13x + 5 = 96

Subtract 5 from both sides.

13x = 91

Divide both sides by 13.

x = 7

Answer:

b

Step-by-step explanation:

Answer:

$560

Step-by-step explanation:

Given:

The line passes through the two points (–4, –3) and (12, 1).

The point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

To find:

The standard form of the equation for this line.

Solution:

The standard form of a line:

[tex]Ax+By=C[/tex]

The given point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

Multiply both sides by 4.

[tex]4(y-1)=(x-12)[/tex]

[tex]4y-4=x-12[/tex]

[tex]-4+12=x-4y[/tex]

[tex]8=x-4y[/tex]

Interchanging the sides, we get

[tex]x-4y=8[/tex]

Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].

y = one-fourth x minus three-fourths got it on the edge

Answer:

This statement........... can't be more wrong

Step-by-step explanation:

It's 2021, Corolla Virus is out there, most people stay indoors. And what is one of the most common things to do indoors? PLAY VG. So they aren't overrated, they have just become more popular.

9514 1404 393

Answer:

  (a) 2 or 3

  (b) -13

Step-by-step explanation:

(a) A, B, and C are collinear if there is some constant 'c' such that ...

  B - A = c(C - A)

This will give rise to two equations in 'c' and 'k'.

  (k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))

  (k +1, k -5) = c(2k, k -6)

And the two equations are ...

  k +1 = 2ck

  k -5 = c(k -6)

From the first, we find ...

  c = (k +1)/(2k)

From the second, we find ...

  c = (k -5)/(k -6)

Equating these expressions for c gives ...

  (k +1)/(2k) = (k -5)/(k -6)

  (k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)

  k^2 -5k -6 = 2k^2 -10k

  0 = k^2 -5k +6 = (k -3)(k -2)

Solutions that make the factors zero are ...

  k = 3  or  k = 2

There are two values of k that make the points collinear: 2 and 3.

__

(b) AB is parallel to CD when the slopes of the lines between them are the same

  slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)

  slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2

Equating these slopes and solving for k, we get ...

  (k -5)/(k +1) = 3/2

  2(k -5) = 3(k +1)

  2k -10 = 3k +3

  -13 = k

AB is parallel to CD when k = -13.

_____

The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).

Answer:

(-1, 1)

Step-by-step explanation:

Just look at where the two lines intersect and thats the soloution

In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.

[tex]nCr = \frac{n!}{(n - r)!r!} \\ [/tex]

Plugging in our values,

[tex]8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ [/tex]

That means 3 desserts from a tray of 8 desserts 56 times.

Step-by-step explanation:

Yes they are equivalent. You get -3 when you try solving the actual equation.

Answer:

2X1 = 2

Step-by-step explanation:

When multiplying a number times 1 it Would stay the same as the first number was before 1 number over that and It would end up equaling an actual number like for example 2x2 = 4 confused on how you got 2x1 as 2? Well simple let me explain it more with other equations 7x1 = 7 4x1 = 4 20x1 = 20 you see?

Answer:

D. Yes, since the p-value of the one-sided test is less than 5%.

Step-by-step explanation:

Test if there is evidence that the proportion of large trucks carrying hazardous materials is less than 30%.

At the null hypothesis, we test that this proportion is of 30%, that is:

[tex]H_0: p = 0.3[/tex]

At the alternate hypothesis, we test if this proportion is less than 30%, that is:

[tex]H_1: p < 0.3[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.3 is tested at the null hypothesis:

This means that [tex]\mu = 0.3, \sigma = \sqrt{0.3*0.7}[/tex]

Of 350 randomly selected trucks, 87 were carrying hazardous materials.

This means that [tex]n = 350, X = \frac{87}{350} = 0.2486[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.2486 - 0.3}{\frac{\sqrt{0.3*0.7}}{\sqrt{350}}}[/tex]

[tex]z = -2.1[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.2486, which is the p-value of z = -2.1.

Looking at the z-table, z = -2.1 has a p-value of 0.0179.

The p-value of the test is 0.0179 < 0.05, which means that there is evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%. Thus, the correct answer is given by option D.

Answer:

Step-by-step explanation

7.

[tex]\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14[/tex]

9.

[tex]\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5[/tex]

Answer:

2 ONE IS TRUE AS IT HALF THE DISTANCE BETWEEN THE CIRCLE IS CALLED RADIUS AND FULL DISTANCEIS CALLED RADII WHICH MEANS PLULAR OF RADIUS

Step-by-step explanation:

Answer:

7/36

Step-by-step explanation:

Complete

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble?

Total outcome = 2 + 7 = 9marbles

Pr(picking purple) = number of purple/total outcome

Pr(picking red) = 7/9

Since the first marble is not replaced, the total outcome becomes 8 marbles

Pr(picking white) = 2/8 = 1/4

Probability of selecting a purple marble and then a white marble = 7/9 * 1/4 = 7/36

Answer:

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

Given

Let

[tex]a, b \to[/tex] opposite sides of each trapezoid

[tex]h \to[/tex] height

[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]

See attachment for trapezoids

Required

The combined area of the 4

First, we calculate the area of 1

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

So:

[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]

[tex]A_1 = \frac{1}{2}*6 * 2[/tex]

Using a calculator

[tex]A_1 = 6[/tex]

The combined area is:

[tex]Area =n * A_1[/tex]

Where

[tex]n = 4[/tex] --- 4 blades

So:

[tex]Area = 4 * 6[/tex]

[tex]Area = 24\ in^2[/tex]

Answer:

76

Step-by-step explanation:

Answer:

8.

[tex]\sqrt[3]{\frac{7x^3}{64y^4} } = \frac{(7x^3)^{\frac{1}{3}} }{(64y^4)^{\frac{1}{3} }} =\frac{7^{\frac{1}{3} }*x}{4^3^{\frac{1}{3} }y^4^{\frac{1}{3} }} =\frac{x}{4} \sqrt[3]{\frac{7}{y^4} }[/tex]

9.

[tex]\frac{4+\sqrt{6} }{3\sqrt{6} } =\frac{(4+\sqrt{6} )(\sqrt{6}) }{3\sqrt{6} \sqrt{6} } =\frac{4\sqrt{6}+6 }{3*6} =\frac{4\sqrt{6} +6}{18} =\frac{2\sqrt{6} +3}{9}[/tex]

10.

[tex]\frac{2 + 5\sqrt{2} }{2-\sqrt{2} }= \frac{(2 + 5\sqrt{2})(2+\sqrt{2}) }{(2-\sqrt{2})(2+\sqrt{2} ) } = \frac{4+ 2\sqrt{2} + 10\sqrt{2} +10 }{2^2 -\sqrt{2}^{2} } =\frac{14 + 12\sqrt{2} }{4-2} =\frac{14 + 12\sqrt{2} }{2} = 7 + 6\sqrt{2}[/tex]