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2 years ago

Solve for x 2(x + 7) <3(x + 4)

Mathematics

2 answers:

Alborosie2 years ago

6 0

Answer:

X > 2

Step-by-step explanation:

2x + 14 < 3x + 12

-x < -2

x > 2

stepladder [879]2 years ago

4 0

Answer:

x >2

Step-by-step explanation:

steps:

1: write the question nicely.

2: the number outside multiply with what is in the bracket.(EXPAND).

3: collect the like terms.

4: 2x-3x=-1x

:12-14=-2

5: divide by negative 1 on both side.

6:remember when u solve something including the inequalities sign....if u divide it by a negative number u should change the sign .

the ans will be x>2

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Find the slope of the line that is perpendicular to the line graphed in the figure

Margaret [11]

Answer:

- $\frac{1}{5}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = $\frac{1-(-4)}{1-0}$ = $\frac{1+4}{1}$ = 5

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{5}$

3 0

2 years ago

Tell whether the ordered pair (1,1) is a solution of the system of inequalities.

Dmitry [639]

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

<h3>A solution to the system of inequality</h3>

Given the following inequality expression

y>0

y< 2.5x - 1

Wee are to check if (1, 1) is a solution to the systen of equation

If x = 1

y < 2.5(1) - 1

Y < 2.5 - 1

y < 1.5

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Learn more on inequality here: brainly.com/question/24372553

8 0

1 year ago

Jim paid a gym membership fee of $50, plus $20 per month.jim has paid a total of $290 to the gym.which equation matches this sit

Troyanec [42]

The answer is 290=50+20x

5 0

2 years ago

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Add. Express your answer in simplest terms. 1/5+2/3

DedPeter [7]

Y0ou find a common denominatior, in this case is 15.... then multiply whatever u had to get the denominator 15 times the top number, so 3/5 + 10/15 = 13/15

4 0

2 years ago

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A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make

qwelly [4]

Answer:

a type nut is 10 pounds

a different one is 14 pounds

Step-by-step explanation:

let a type of the nut be represented by t

Let a different one be represented by d

a type of nut cost $7 per pound

a different one cost $4.20 per pound

The cost of the mixture for 24 pounds = 5.37 * 24

= $128.88

t + d = 24 ........(1)

7t + 4.2d = 128.88 ..........(2)

From equation (1), t = 24 - d

Put t = 24 - d in equation 2

7(24 - d) + 4.2d = 128.88

168 - 7d + 4.2d = 128.88

168 - 2.8d = 128.88

-2.8d = 128.88 - 168

-2.8d = -39.12

d = -39.12 / -2.8

d= 13.97

d = 14 pounds

t = 24 - d

t = 24 - 14

t = 10 pounds

A type nut is 10 pounds. A different one is 14 pounds

5 0

2 years ago

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