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4 years ago

The system of equations shown below is graphed on a coordinate grid:

Mathematics

2 answers:

sp2606 [1]4 years ago

5 0

Answer:

The answer is A. It is (−2, 2) and lies on both lines.

Hope This Helps!

olga_2 [115]4 years ago

4 0

(−2, 2)

3(2) + (-2) = 4

6 - 2 =4

4 = 4 .............TRUE

2(2) − (-2) = 6

4 + 2 = 6

6 = 6 ..............TRUE

Answer:

a. It is (−2, 2) and lies on both lines.

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Part 2: Write a rule to describe each transformation NO LINKS! NO ASSESSMENT!

NikAS [45]

Answer:

(x, y) → (x, -y)

Step-by-step explanation:

We can see each corresponding point of the figures is mirrored over x- axis.

This is a reflection and the rule is:

(x, y) → (x, -y)

5 0

3 years ago

Read 2 more answers

How to expand (2x+1)(x+1)

Inga [223]

(2x+1)(x+1)
Now multiply 2x to both x and +1
2x^2+2x
Do the same with 1 multiply it to x and +1
2x^2+2x +x+1
Simplify
2x^2+3x+1

8 0

4 years ago

Read 2 more answers

The dot plot below shows the drawing scores of some students:

DedPeter [7]

It is not symmetric and has a peak of 5. because if you fold the graph in half it will not match up and the peak of the data is at 5.

4 0

3 years ago

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

Step(ii):-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

Conclusion:-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

3 years ago

The radius of the fruit is 3 times the radius of the seed. It is known that the seed has a volume of 100 cubic centimeters. What

kolezko [41]

The edible fruit=fruit-seed

alright

vsphere=4/3pir^3

so if the volume is 100
of the seed
$100=\frac{4}{3}\pi r^3$
find r
times both sides by 3/4
$75=\pi r^3$
divide both sides by pi
$\frac{75}{\pi}= r^3$
cube root both sides
$\sqrt[3]{\frac{75}{\pi}}= r$
this is the seed radius
3 times of taht is the radius of the fruit
$3\sqrt[3]{\frac{75}{\pi}}$ =radiusfruit

input into equation
use radius fruit for r
$V=\frac{4}{3}\pi r^3$
$V=\frac{4}{3}\pi (3\sqrt[3]{\frac{75}{\pi}})^3$
$V=\frac{4}{3}\pi (27)(\frac{75}{\pi})$
$V=\frac{8100\pi}{3\pi}$
$V=2700 cm^3$

so the edible part is 2700-100=2600 cm³

6 0

4 years ago

Read 2 more answers