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3 years ago

Tell whether the ordered pair (- 3, 0) is a solution of the given system. - 2x + 2y >= 4an y >= 2x - 6

Mathematics

2 answers:

alukav5142 [94]3 years ago

8 0

Answer:

The ordered pair is a solution.

Step-by-step explanation:

Plug x = -3 and y = 0 into the 2 inequalities and see if they fit:

-2x + 2y >= 4

-2(-3) + 2(0) = 6 which is > 4 so this one fits.

y>= 2x - 6

0 >= 2*-3) - 6 = -12 which also fits.

german3 years ago

7 0

Answer:

it is a solution

Step-by-step explanation:

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Answer:

54 percent

Step-by-step explanation:

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4 years ago

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3. Barbara and Luke each placed 2 meter sticks end-to-end along the length of a large table. About how long is the table?

kompoz [17]

I this is the entire question the answer is 78.74 inches or 6 1/2 feet

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4 years ago

A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri

8090 [49]

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: $3c$

We can represent the given information in an equation as:

$d=3c-2...(1)$

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

$d=c+22...(2)$

Equate both equations:

$3c-2=c+22$

$3c-c-2=c-c+22$

$2c-2=22$

$2c-2+2=22+2$

$2c=24$

$\frac{2c}{2}=\frac{24}{2}$

$c=12$

Therefore, the weight of cat is 12 pounds.

Substitute $c=12$ in equation (2)

$d=c+22$

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Therefore, the weight of dog is 34 pounds.

4 0

4 years ago

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

Lana71 [14]

Answer:

first option

Step-by-step explanation:

3x² - 18x + 5 = 47 ( subtract 5 from both sides )

3x² - 18x = 42 ( divide through by 3 )

x² - 6x = 14

Using the method of completing the square

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

x² + 2(- 3)x + 9 = 14 + 9

(x - 3)² = 23 ( take square root of both sides )

x - 3 = ± $\sqrt{23}$ ( add 3 to both sides )

x = 3 ± $\sqrt{23}$

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3 years ago

In a two-way analysis of variance, a main effect is defined as: Select one: a. the mean differences among the levels of one fact

Irina-Kira [14]

Answer:

a. the mean differences among the levels of one factor

Step-by-step explanation:

In statistics, a two-way analysis of variance (ANOVA), a main effect is defined as the mean differences among the levels of one factor.

The aim of a two-way analysis of variance (ANOVA) is to give the relationship or identify if there is an interaction between the two independent variables on the dependent variable.

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4 years ago