Four times two less than a number is the same as thrice one more than the number. Find the number.
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Answer:

C

Step-by-step explanation:

3x² + 6x + 6 = 0 ( divide through by 3 )

x² + 2x + 2 = 0 ( subtract 2 from both sides )

x² + 2x = - 2

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 2 + 1

(x + 1)² = - 1 ( take square root of both sides )

x + 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( subtract 1 from both sides )

x = - 1 ± i → C

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

Answer:

A and C are correct

Part A

Extend the table so that we have row and column totals as shown in the diagram below.

There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of

(986/1125)*(986/1125) = 0.7682 which is approximate.

Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.

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Part B

This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 =  0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.

Note the second fraction has each term drop by 1.

The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately

Answer:

the product of some number (call it x) and 7 is:

7⋅x or just 7x

now take 15 less than that:

7x−15 or y=7x−15

Answer: 1/6 x 3 and 1/6 of 3.

Step-by-step explanation:

Answer:

[tex]7-2i[/tex]

Step-by-step explanation:

As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So [tex]\frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i[/tex]

Answer:

-2+5i

Step-by-step explanation:

Answer:

the graph of x = a is a straight line parallel to y-axis at a distance a from the y-axis, on the right if a > 0 and on the left if a < 0. (iv) Graph of y = a.

Step-by-step explanation:

HOPES THIS HELPS MY FRIEND!!!

Answer:

y^2-7y+12

Step-by-step explanation:

muliply each unit of the first parentheses by the second

Answer:

a.) 130°

b.) 70°

Step-by-step explanation:

For a given triangle

The sum of all angles on a straight line is equal to 180°

Now,

50° + a = 180°

Subtract 50° from each side we get,

50° - 50° + a = 180° - 50°

a = 130°

Thus, The size of the angle marked a is 130°

The sum of all angles in a triangle is equal to 180°

Now,

b + 50° + 60° = 180°

b + 110° = 180°

Subtract 110° from both side we get,

b + 110° - 110° = 180° - 110°

b = 70°

Thus, The size of the angle marked b is 70°

-TheUnknownScientist 72

Answer:

x = 18

Step-by-step explanation:

x + 36 and 3x are corresponding angles and are congruent , so

3x = x + 36 ( subtract x from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

Answer:

26 ft

Step-by-step explanation:

x=2 y=3 3x2 is 6, then 6-3 is 3.

x=3 y=6 3x3 is 9, then 9-3 is 6

x=4 y=9 3x4 is 12, then 12-3 is 9.

x=9 y=24 3x9 is 27, then 27-3 is 24.

Answer: (2,3) , (3,6) , (4,9) , (9,24)

Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3  which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.

Hope this helped!

Step-by-step explanation:

(-3,-2)

that is the translation matrix for this question

Answer:

7/4

Step-by-step explanation:

We can write equations for increasing stock and decreasing stock and find our answer.

Let number of hours be "h" for both to be same

For first, we can write:

13.66 + 0.05h

But, second one starts from noon, so already 12pm - 9am = 3 hours gone, so stock A increased by 3 x 0.05 = 0.15, so we equation would be:  

13.81 + 0.05h

Now, Stock B's equation [from noon]:

14.16 - 0.15h

Equate and solve:

so we will do 13.81 + 0.05h = 14.16 - 0.15h

number with number

variables with variables

0.2h   = 0.35

divide 0.2 both sides

answer is

1.75 or if its in fraction form 7/4

Answer:

1.75 hours

Step-by-step explanation:

(13.66 +3*0.05) + (0.05 * h) = 14.16 - (0.15 * h)

13.81 + 0.05h = 14.16 - 0.15h

0.05h + 0.15h = 14.16 - 13.81

0.20h = 0.35

h = 0.35/ 0.20

h = 7/4

Answer:

150kg

Step-by-step explanation:

50 oranges ----- 7.5 kg

1000 -------   x

50 * x = 1000 * 7.5

x = 7500 / 50

= 750/5

=150

Answer:

√8 = 2.828427125

√24 = 4.89897948557

Answer:

08 : 00

min : sec

8 minutes each mile

Answer:

0.125 is your answer

Step-by-step explanation:

5/40 = 0.125

Answer:

c/-9+6=14

c/-9=14-6

c/-9=8

c=8×(-9)

c= -72

Therefore the answer is (b)

Answer:

y=3

Step-by-step explanation:

Horizontal Lines

Answer:

x=4

Step-by-step explanation:

4x-8+5x=28

9x-8=28

Add 8 to both sides.

9x=36

Divide 9 from both sides.

x=4

Hope this helps! Plz give brainliest!

Answer:

[tex]y = \frac{-2}{3}x + 2[/tex]

Step-by-step explanation:

The first step is convert the given equation in a dependent and independent equation.

[tex]2x + 3y = 12[/tex]

[tex]3y = 12 - 2x[/tex]

[tex]y = 4 - \frac{2}{3}x[/tex]

[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.

Since both lines are parallel the slope of both equations are the same

[tex]y = \frac{-2}{3}x + b[/tex]

Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.

[tex]4 = (\frac{2}{3})3 + b[/tex]

[tex]4 = 2 + b[/tex]

[tex]4 - 2 = b[/tex]

[tex]2 = b[/tex]

So the final equation is equal to

[tex]y = \frac{-2}{3}x + 2[/tex]

Answer:

3/6  of a cup for every cup of water.

Step-by-step explanation:

Answer:

C. 5/4

Step-by-step explanation:

Slope formula is y=mx+b so your slope is m

In your equation y=5/4x-7/4, your slope is where m would be, so 5/4

Answer:

the slope of the equation is 5/4

Answer:

A. C = (d-ab)/a

Step-by-step explanation:

a(c + b) = d

a(c + b)/a = d/a

c + b = (d/a)

c = (d/a) - b

a(c + b) = d

ac + ab = d

ac = d - ab

ac/a = d/a - ab/a

c = (d/a) - b

Answer:

Step-by-step explanation:

4 ⟶ 30 34 is rounded down to 30

86 ⟶ 90 86 rounded up to 90

34 ⟶ 30

86 ⟶ 90

34 is rounded down to 30

86 rounded up to 90

Calculate mentally 30 × 90 = 2700

The estimated product is 2700.