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3 years ago

What is the least integer value that satisfies the inequality 2x – 7 ≥ 3?

Mathematics

2 answers:

Nataliya [291]3 years ago

5 0

Answer:

c. 9

Step-by-step explanation:

2^(7 – 7) =1 1≥ 3? No

2^(8 – 7) =2 2≥ 3? No

2^(9 – 7) =4 4≥ 3? Yes

san4es73 [151]3 years ago

3 0

Answer:

C. 9

Step-by-step explanation:

Looking at the graph, we can see the lowest number which lies in the shaded region of the graphed are is 9. Therefore, that is the answer.

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The ratio of girls to students at a middle school is 10 to 18. If there are 270 students at the school, how many are girls?

Stells [14]

A good way of doing this problem would be to use cross multiplication of ratios
<u /> $\frac{10 girls}{18 students} = \frac{X girls}{270 students}$

Then cross multiply

(10 girls)(270 students)=(X girls)(18 students)

2700=18x
150=x

4 0

3 years ago

Read 2 more answers

The sum of three consecutive even integers is 288288. find the integers.

kirza4 [7]

Suppose the three integers are x, x+2, and x+4
x+x+2+x+4=288
3x+6=288
3x=282
x=94
the three numbers are 94, 96, and 98

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3 years ago

Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

$2+6+10+\cdots+4k-2=2k^2$

We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

$2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2$

so the statement is true for all $n\in\mathbb N$ .

5 0

3 years ago

If triangle ABC is dilated using a scale factor of 2, what will be the coordinates of A after the transformation

harkovskaia [24]

Answer:

$A' = (-4,4)$

Step-by-step explanation:

Given

$A = (-2,2)$ $B = (1,3)$ $C = (1,0)$

$k =2$ --- scale factor

Required

Determine A'

This is calculated as:

$A' = A * k$

$A' = (-2,2) * 2$

$A' = (-2 * 2,2 * 2)$

$A' = (-4,4)$

8 0

3 years ago

Solve the equation 2x - 3y = 18

Ratling [72]

The answer is

$x=9+ \frac{3}{2} y$

3 0

3 years ago