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2 years ago

Sketch the graph of the inequality. 9. 7y − 2x + 3 < 17

Mathematics

1 answer:

ohaa [14]2 years ago

5 0

$7y-2x+3 < 17\ \ \ \ |-3\\\\7y-2x < 14\ \ \ \ |+2x\\\\7y < 2x+14\ \ \ \ |:7\\\\y < \dfrac{2}{7}x+2\\\\y=\dfrac{2}{7}x+2\\\\for\ x=0\to y=\dfrac{2}{7}(0)+2=2\to(0,\ 2)\\\\for\ x=-7\to y=\dfrac{2}{7}(-7)+2=0\to(-7,\ 0)$

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4.Rebecca biked 4.5 miles today and 3.2 miles

Fudgin [204]

Answer:

10-(4.5+3.2)

= 10-7.7

=2.3 miles

6 0

2 years ago

Please help me! i will give 10 points and brainliest to those who show their work!!

Black_prince [1.1K]

Hopefully this helps.

8 0

2 years ago

Find the 10th partial sum of the arithmetic sequence defined by

Evgesh-ka [11]

Answer:

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

Putting 1 in $n$ , $\frac{1}{2}(1)-\frac{1}{2}=0$
Putting 2 in $n$ , $\frac{1}{2}(2)-\frac{1}{2}=0.5$
Putting 3 in $n$ , $\frac{1}{2}(3)-\frac{1}{2}=1$
Putting 4 in $n$ , $\frac{1}{2}(4)-\frac{1}{2}=1.5$

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

$s_{n}=\frac{n}{2}(2a+(n-1)d)$

Where,

$S_{n}$ denotes the nth partial sum
$a$ is the first term (in our case it is 0)
$n$ is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
$d$ is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

$s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5$

So the sum of the first 10 terms is 22.5. Third answer choice is right.

8 0

2 years ago

Read 2 more answers

Someone please help due tonight

Alika [10]

0=$5
1=$7
2=$9
3=$11
4=$13
5=$15
6=$17

4 0

2 years ago

Can someone please help me

kakasveta [241]

In a trapezoid, two opposite sides are parallel and are called bases.
In this trapezoid, the top and bottom sides are parallel and are the bases.
The right side that intersects both bases is a transversal.
When parallel lines are cut by a transversal, same-side interior angles are supplementary. The measures of supplementary angles add to 180 deg.

x + 72 = 180

x = 180 - 72

x = 108 deg

7 0

2 years ago