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2 years ago

11

find two consecutive odd integers that 7 times the smaller integer is 61 more than 2 times the larger integer.

1 answer:

Aleks04 [339]2 years ago

8 0

Answer:

x = 13 smaller integer

x + 2 = 15 the other integer

Step-by-step explanation:

x = the smaller integer

x + 2 = the next integer

7(x) = 61 + 2(x + 2)

7x = 61 + 2x +4

5x = 61 + 4

5x = 65

x = 13 smaller integer

x + 2 = 15 the other integer

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2 years ago

I need some help with my lesson pleaseee

andrezito [222]

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5 0

2 years ago

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If f(x)=x2+2x+3 what is the value of f(x) when x=6

Marat540 [252]

The answer is 51

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7 0

3 years ago

Please help with 6 and 7

Ilya [14]

Answer:

6. The number is $-5$

7. The two numbers are $10$ and $11$

Step-by-step explanation:

Question six can be re-worded to create the following expression:

$-2=\frac{4x+10}{5}$

Solve for x to find the number:

$-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x$

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

x and y are less than 20
$x + 1 = y$
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To get the numbers, we can create a system of linear equations. First, solve for $y$ in each expression:

$y = x+1$

$2y = 3x-8\\y = \frac{3}{2}x - 4$

Solve for $x$ :

$x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x$

Solve for $y$ :

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4 0

1 year ago

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Which of the following inequalities matches the graph? (1 point)

Aleksandr [31]

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

7 0

1 year ago