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lora16 [44]
3 years ago
15

Choose the equation of the line that is parallel to the y-axis.

Mathematics
2 answers:
kodGreya [7K]3 years ago
4 0

Answer:

x=-2

Step-by-step explanation:

If x always = -2, it is a straight vertical line which means it is parallel to the y axis

kobusy [5.1K]3 years ago
3 0
It's x=-2 because anything just on the x axis without a y is vertical which is parallel to the y axis
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The line plot shows the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the pre
elena-14-01-66 [18.8K]
10 students per gender:

Boys:  <span>four Xs over five and one X over zero, two, three, four, ten, and twelve. 
5, 5, 5, 5, 0, 2, 3, 4, 10, 12 </span>→ 0, 2, 3, 4, 5, 5, 5, 5, 10, 12<span>
mean: 5.1
range: 12

</span><span>Girls: three Xs above eight, two Xs above three and four, and one X above two, six and seven.
8, 8, 8, 3, 3, 4, 4, 2, 6, 7 </span>→ 2, 3, 3, 4, 4, 6, 7, 8, 8, 8 
<span>mean: 5.3
range: 6

The boys have the higher range while the girls have the higher mean value.


</span><span>
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8 0
3 years ago
What is the slope of the line that contains the points (12, 17) and (-8, -17)?
kherson [118]

Answer:

1 7⁄10 = m

Step-by-step explanation:

m = -y₁ + y₂\-x₁ + x₂ → -17 - 17\-12 - 8 >> 1 7⁄10

-34 -20

I am joyous to assist you anytime.

3 0
3 years ago
Robin can bake 140 cupcakes in 5 hours.
Advocard [28]

Answer:

28.

Step-by-step explanation:

28 x 5 = 140

140 divided by 28 = 5.

5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.

5 0
3 years ago
Read 2 more answers
Find the value of this expression if x=-7. x^2 -1 /x+4
belka [17]

Answer:

-16

Step-by-step explanation:

x^2 -1 /x+4

By putting the value of x in the expression as x = -7

= (-7)^2 - 1/ -7 +4

= (+49) - 1/ -3

= 48/-3

= -16

6 0
3 years ago
How to integrate with steps:<br><br> (4x2-6)/(x+5)(x-2)(3x-1)
joja [24]

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

\dfrac{4x^2-6}{(x+5)(x-2)(3x-1)}=\dfrac a{x+5}+\dfrac b{x-2}+\dfrac c{3x-1}

\implies4x^2-6=a(x-2)(3x-1)+b(x+5)(3x-1)+c(x+5)(x-2)

You can use the "cover-up" method here to easily solve for a,b,c. It involves fixing a value of x to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.

  • If x=-5, then 94=112a\implies a=\dfrac{47}{56}
  • If x=2, then 10=35b\implies b=\dfrac27
  • If x=\dfrac13, then -\dfrac{50}9=-\dfrac{80}9c\implies c=\dfrac58

So the integral we want to compute is the same as

\displaystyle\frac{47}{56}\int\frac{\mathrm dx}{x+5}+\frac{10}{35}\int\frac{\mathrm dx}{x-2}+\frac58\int\frac{\mathrm dx}{3x-1}

and each integral here is trivial. We end up with

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx=\frac{47}{56}\ln|x+5|+\frac27\ln|x-2|+\frac5{24}\ln|3x-1|+C

which can be condensed as

\ln\left|(x+5)^{47/56}(x-2)^{2/7}(3x-1)^{5/24}\right|+C

7 0
3 years ago
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