Solve this quadratic equation
x2 + 7x – 10 = 0

Answer:

B

Step-by-step explanation:

First step is to do whatever is in the parentheses: 9-3.

Then you will multiply 7 by that number; which will give you the answer.

B is correct because it does it that way.

Answer:a.c,d

Step-by-step explanation:

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

Answer:

(59,93)

Step-by-step explanation:

Answer:

-10, -4

Step-by-step explanation:

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

Answer:

12 bounce

Step-by-step explanation:

Let :

Number of Menard's bounce = x

Ben's bounce = x + 8

Diego's bounce = 2x

If Diego's bounce = 8

Then ;

2x = 8

x = 8/2

x = 4

Ben's bounce = x + 8

Ben's bounce = 4 + 8 = 12

Answer:

2(k+1)(k+2)(k+5)

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

Step-by-step explanation:

=400-[200-{35+15-70(4)}]

=400-[200-{35+15-280}]

=400-[200-{50-280}]

=400-[200-{-230}]

=400-[200+230]

=400-430

=-30 Ans

Answer:

10cm, 16 cm, 18 cm,

Step-by-step explanation:

The lengths of the sides of a triangle are in the extended ratio 5: 8.9. The perimeter of the triangle is 44 cm.

Sum of proportion = 5 + 8 + 9

= 22

Length of side a

5/22 × 44 = 10 cm

Length of side b

8/22 × 44 = 16 cm

Length of side a

9/22 × 44 = 18 cm

The lengths of the sides of the triangle in cm are 10cm, 16 cm, 18 cm,

Answer:

1/2

Step-by-step explanation:

1/2 x 1/2 = 1/4

3/4 x 1/2 = 3/8

1/1 x 1/2 = 1/2

5/4 x 1/2 = 5/8

(5/4 = 1 1/4)

Answer:

$48.51

Step-by-step explanation:

do 5% of $46.20 and then add it to the original number

Hope this helps u :D

Answer:

ok so add the 25.00 and subtract by 5

Step-by-step explanation:

25-5=$ 20

Answer:

18.44 ..... hope this helps

Step-by-step explanation:

V=

4

3

π

r

3

Solving forr

r=

3

V

4

π

⅓

=

3

26244

4

π

⅓

≈

18.43517

Answer:

-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 6 = x - 8

-x -x

(subtract x from both sides)

2x + 6= −8

-6 -6

(subtract 6 from both sides)

2x = -14

/2 /2

(divide 2 by both sides)

x = -7

hope this helped!

Answer:

$127.5

Step-by-step explanation:

150*15%=22.5.

150-22.5=127.5

Don't buy this, totally not worth it.

Answer:

$22.5

Step-by-step explanation:

We will pay 15% of 150 for shipping: 150 * 0.15 = 22.5

PLEASE GIVE BRAINLIEST MEANS ALOT

Answer:

-12/13

Step-by-step explanation:

Given,

-8/13+(-4/13)

=-8/13-4/13

=-12/13

Answer:

that is a right triangle.

Step-by-step explanation:

if you do not know, then the square on the corner means 90 degrees. which is a right angle. acute angle means less than that square, and obtuse means over the square. (less and over 90 degrees)  

Answer:

The answer is A. because of the y intercept and the slope

Answer:

[tex]y=10[/tex]

Step-by-step explanation:

We know that the sum of these two angles is 180 degrees. Why? Imagine if the horizontal line was perfectly horizontal. There would be two 90 degree angles, one at each intersection of the vertical lines. If the rotate the line, we haven't magically removed or added degrees, so we know it is still 180 degrees.

Hence, the equation is:

[tex]180=120+6y\\60=6y\\\bold{y=10}[/tex]

Answer:

A=.25

B=.25

C=.25

D=.25

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just derived everyone

Answer:

180 - 58 - 42 = x : sum of angles in a triangle add to 180

80 = x

Answer:

12/18

Step-by-step explanation:

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

6). Equation of the line has been given as,

    4x + 9y = -9

    By converting this equation into y-intercept form,

    9y = -4x - 9

    [tex]y=-\frac{4}{9}x-\frac{9}{9}[/tex]

    [tex]y=-\frac{4}{9}x-1[/tex]

    By comparing this equation with y = mx + b

    Here, m = Slope of the line

    b = y-intercept

    Slope of the equation (m) = [tex]-\frac{4}{9}[/tex]

    y-intercept (b) = -1

8). Equation of the line is,

    5x + 3y = 12

    3y = -5x + 12

    [tex]y=-\frac{5}{3}x+\frac{12}{3}[/tex]

    [tex]y=-\frac{5}{3}x+4[/tex]

    Slope of the line = [tex]-\frac{5}{3}[/tex]

    y-intercept = 4