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3 years ago

Which one?????? i need help

Mathematics

1 answer:

borishaifa [10]3 years ago

5 0

<h3>Given</h3>

x + 2 ≥ 6

the graph for the solution

<h3>Solution</h3>

We can solve for x by subtacting 2 from both sides of the inequality.

... x + 2 -2 ≥ 6 -2

... x ≥ 4 . . . . . . . . . . simplify

The answer is read, "x is greater than or equal to 4." This means the solution is those real numbers that are to the right of 4 on the number line, and including 4 on the number line. Numbers to the left of 4 are not included. The inclusion of the number 4 is shown by putting a solid dot there (not an open circle).

The appropriate choice is the 3rd one.

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two friends went to a restaurant and ordered one plain pizza and two sodas. their bill totaled $15.95. later that day, five frie

oksano4ka [1.4K]

X= cost per pizza
y= cost per soda

1ST VISIT TO RESTAURANT
x + 2y= $15.95

2ND VISIT TO RESTAURANT
3x + 5y= $45.90

STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.

-3(x + 2y)= -3(15.95)
multiply -3 by each term

(-3 * x) + (-3 * 2y)= (-3 * 15.95)

-3x - 6y= -47.85

STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.

3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y

-y= -1.95
divide both sides by -1

y= $1.95 per soda

STEP 3
substitute y value in either original equation to solve for x

x + 2y= $15.95

x + (2 * 1.95)= 15.95
multiple in parentheses

x + 3.90= 15.95
subtract 3.90 from both sides

x= $12.05 per pizza

CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90

ANSWER: Each pizza costs $12.05 and each soda costs $1.95.

Hope this helps! :)

4 0

3 years ago

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 2r ≤ 3r – 8 A. {8, 9, 10}

TiliK225 [7]

$2r\leq3r-8\\
r\geq8\\\Downarrow\\
\boxed{\{8,9,10\}}$

8 0

3 years ago

3x−8 ≤ 23 OR −4x+26≥6 find x

ElenaW [278]

Answer:

3x-8<=23

3x<=23+8

3x< =31

X< = 10.3

-4x+26>=6

-4x>=-20

X>=5

6 0

3 years ago

Black walnut trees contain chemicals that inhibit the growth of other plants. In a simple experiment to test whether this is tru

solong [7]

Answer:

Height of tomato plant is the dependent variable

Presence of walnut leaves in the soil is the independent variable

Tomato plants grown without walnut leaves is the control

Step-by-step explanation:

An independent variable is the variable in an experiment that can be altered to test for a certain result. It is independent, or does not change with change in other factors in the experiment. In this case, the presence or absence, or quantity of walnut available in the soil is the independent variable in the experiment.

A dependent variable varies, and depends on the independent variable. It is what is measured in the experiment. In this case, the height of the tomato plants is the dependent variable that depends on the presence, absence or quantity of walnut in the soil.

A control in an experiment, is a replicate experiment, that is manipulated in order to be able to test a single variable at a time. Controls are variables are held constant so as to minimize their effect on the system under study. In this case, some of the tomato plants are planted without walnut in the soil, to test the effect of the absence of the walnut in the soil.

5 0

3 years ago

URGENT PLS HELP MAX POINTS

bija089 [108]

Answer:

-103

243

Step-by-step explanation:

(q•r)(5) = q(r(5))

r(5) = 2(5²) + 1 = 51

q(51) = -2(51) - 1 = -103

(r•q)(5) = r(q(5))

q(5) = -2(5) - 1 = -11

r(-11) = 2(-11)² + 1 = 243

6 0

3 years ago