Find the sum of (x² + 6x – 5) + (2x2 + 15).

Answer:

Step-by-step explanation:

So you think that x = -5 is the solution for the inequality? Let's check it out.

(Check)

- Substitute x = -5 in the inequality

[tex]-6<3(-5)+9<21\\-6<-15+9<21\\-6<-6<21[/tex]

If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.

Now let's solve the inequality. Separate the inequality by parts.

[tex]\left \{ {{-6<3x+9} \atop {3x+9<21}} \right. \\\left \{ {{-6-9<3x} \atop {3x<21-9}} \right. \\\left \{ {{-15<3x} \atop {3x<12}} \right. \\\left \{ {{x>-5} \atop {x<4}} \right.[/tex]

Therefore, the inequality is true only when x > -5 or x < 4.

(Check)

- Substitute x = -4 in the inequality.

[tex]-6<3(-4)+9<21\\-6<-12+9<21\\-6<-3<21[/tex]

The inequality is true for first case.

- Substitute x = 3 in the inequality

[tex]-6<3(3)+9<21\\-6<9+9<21\\-6<18<21[/tex]

The inequality is true for second case.

So the answer for inequality is -5 < x < 4

That means only {-4, -3, -2, ..., 3} can make the inequality true.

Answer:

Divide each ingredient by 3

Step-by-step explanation:

180 / 3 = 60g onions

120 / 3 = 40g carrots

1 tablespoon of oil

200 g tomatoes

0.4 vegetable stock.

Hope this helps!

Answer:

60g onions

40g carrots

1 tablepoon of oil

200g tomatoes

0.4 vegetable stock

Step-by-step explanation:

Answer:

e=p/w

Step-by-step explanation:

Take w and move it to the left by dividing both sides by w to get the answer

Answer: 15/7

Step-by-step explanation: Simplify 6/2 to 3

8x-3=x+12

Add 3 to both sides

8x=x+15

Subtract x from both sides

7x=15

Divide both sides by 7

x=15/7

Answer:

x = 2.14

Step-by-step explanation:

8x - 3 = x + 12 (6/2 = 3)

7x - 3 = 12 (subtracted 1x from both sides)

7x = 15 (added 3 to both sides)

x = 2.14 (divided 15 by 7)

Hope this helps :)

Line 2 is correct because of the distribution rule. You multiply each outer term by the inner terms in the parenthesis.

2x(4x+8) = 2x*4x + 2x*8 = 8x^2+16x

-3*(4x+8) = -3*4x-3*8 = -12x-24

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Line 3 is correct as well. The 16x and -12x combine to 4x. You can think of it like 16-12 = 4, then just tack x's onto everything getting 16x-12x = 4x

Or you can think of it like "16 boxes - 12 boxes = 4 boxes" and you replace "boxes" with "x" for shorthand.

The other terms aren't like terms so we just leave them as is.

Step-by-step explanation

Ratio equivalent to 12:3

= 12:3

= 12/3 (.°.3x4= 12 and 3x1=3)

= 3x4/3x1 (.°. cancellation of 3 from numerator and denominator)

= 4/1

likewise, 4:1 , 60:15 , 84:21 , 132:33..............etc no. of ratios are equivalent to 12:3

.°. Required ratios which are equivalent to 12:3 are4:1 , 60:15 , 84:21 , 132:33..............etc

The ratios are equivalent to the given ratio are 4:1 and 24:6.

The given ratio is 12:3.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another.

Here, the equivalent ratio to 12:3 are

12/3 : 3/3

= 4:1

12×2:3×2

= 24:6

Therefore, the ratios are equivalent to the given ratio are 4:1 and 24:6.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ6

Answer:

A

Step-by-step explanation:

plug in all variable values

4(-2) - 3(4) + (-5)

negative × positive = negative

positive × negative = negative

-8 - 12 - 5

-20 - 5

-25

Answer:

450 miles in total during her training

Step-by-step explanation:

Since it does say she has 30 days to train and she said she will ride her bike 15 miles everyday she trains so she will have ridden her bike for 450 miles in total

30 days to train x 15 miles per day = 450 miles in total

Answer:

0.5

Step-by-step explanation:

Answer:

its 0.5 hope this helped

Step-by-step explanation:

Answer:2 students from each of the 15 classes because we don’t know the exact amount

C for the lazy readers

Step-by-step explanation:

just finished taking the test

The most appropriate random sample is 2 students from each of the 15 classes.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

Given, Lorrie wants to determine the average amount of time that students at her school spend on the computer each day.

There are 350 students in 15 classes.

After going through the options we can conclude that the most appropriate random sample is 2 students from each of the 15 classes.

learn more about random samples here :

https://brainly.com/question/12719656

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Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

Answer: [tex]-5\sqrt{3}-5i[/tex]

Step-by-step explanation: It was right on Khan

Change in level is given by :

C = increase in level - decrease in level.

Now,

Decrease in level in March is 2 1/4 = 9/4 inches.

Increase in level in April is 1 5/8 = 13/8 inches.

Putting value of these in above equation, we get :

C = 13/8 - 9/4

C = 13/8 - 18/8

C = -5/8 inches

Therefore, the overall level after April will decrease by 5/8 inches.

Hence, option 4. is correct.

Answer:

false, true, true

Step-by-step explanation:

hope this is gonna help u :D

Answer:

false true, true

Step-by-step explanation:

so 1 is false 2 is true  3 is true

i think

Answer:

59 dollars if im wrong tell me

Answer:

area is 200 perimeter is 66

Step-by-step explanation:

Answer:

here, in this question given the value of X will be 1 and the value of y will be (-2)

but (-2) =5-3(1)

(-2)=/ 2

so (1,(-2)) is not the solution of the given equation

hope you like the answer.........

please mark the answer as brainliest

........

Answer:

9/16

6/16

10/16

8/16

Step-by-step explanation:

Answer: 20 units

Step-by-step explanation:

Answer:

20 units

distance formula is (x-x2)^2 + (y-y2)^2 all under a square root.

Answer:

0.154 °C/minute

Step-by-step explanation:

100 °C - 19 °C = 81 °C

(81 °C)/(525 minutes) = 0.154 °C/minute

Answer:

D

Step-by-step explanation:

Add 8 to both sides welcome :)

Answer:

The answer is D

.........

Answer:

f(-2) = -6

Step-by-step explanation:

2(-2-3) + 4

2(-5) + 4

-10 + 4

-6

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

GFE

EFG

I'm not sure, but I hope this helps in some way!

Answer:

sum of two function

Step-by-step explanation:

Answer:

1,3,4,2

Step-by-step explanation:

hope this helps.

Answer:

Problem 1:  HI = 12.22

Problem 2:  AB = 16.23

Step-by-step explanation:

Problem 1:

tan = opposite / adjacent

HI = x

tan 42° = 11 / x

multiply both sides of the equation by x

x (tan 42°) = 11

divide both sides of the equation by tan 42°

x = 11 / tan 42°

tan 42° = 0.90 (given)

x = 11 / 0.90

x = 12.22

Problem 2:

cosine = adjacent / hypotenuse

cos 52° = 10 / c

multiply both sides by c

c (cos 52°) = 10

divide both sides by (cos 52°)

c = 10 / cos 52°

cos 52° = 0.616 (given)

c = 10 / 0.616

c = 16.23

Answer:

x = 16

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

10*x-5*x-3*x-(12)=0

1.1     Pull out like factors :

  2x - 12  =   2 • (x - 6)

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

That is a true statement

Step-by-step explanation:

true................