All categories

3 years ago

Tell whether (-1,3) is a solution of the inequality whose graph is shown.

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer: No.

Reason: (-1, -3) is (x, y) so, let's find -1 on the X scale first. Alright, -1 is in the blue, which is a great start. Now, it's -3 on the Y portion. And when you graph that, it's not in the blue shaded area, so no, it's not a solution. (TIP: Solution is the Shaded Area)

You might be interested in

Last year a married couple had their first two children- twins should they file their federal income tax return using the 1040EZ

Advocard [28]

Last year, a married couple had two children

It means that they need to claim dependents, while filing their taxes.

Form 1040EZ doesn't allow to claim any dependents. Hence, the couple will need to use Form 1040 . It is a longer form, but this is what will be required to do since they have children now.

8 0

3 years ago

Read 2 more answers

What do I put under the 2 and -8x? And what should my answer be

maksim [4K]

Answer:

-(1/4)

Step-by-step explanation:

Divide 2 by -8

6 0

3 years ago

Read 2 more answers

Could someone answer question 5

Savatey [412]

P = 4s
P = (120)^1/2
4s = sqrt120
s = sqrt120/4

A = 2s
2*sqrt120/4 = sqrt120/2
Number 5 is the square root of 120 divided by 2

5 0

4 years ago

Read 2 more answers

April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into

Mila [183]

Answer:

Monthly payment is $5970

Step-by-step explanation:

Given : April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into the annuity, which earns 4.4% APR compounded monthly.

To find : what is April's monthly payment amount?

Solution :

Formula of monthly payment

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $1,000,000

Rate r= 4.4%=0.044 compounded monthly

$i=\frac{0.044}{12}=0.004$

Time = 89-65=23 years

$n=23\times12=276$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.004)^{-276}}{0.004}$

$D=\frac{1-(1.004)^{-276}}{0.004}$

$D=\frac{1-0.33}{0.004}$

$D=\frac{0.67}{0.004}$

$D=167.5$

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{1000000}{167.5}$

$M=5970.1$

Approximately,monthly payment is $5970

4 0

4 years ago

Read 2 more answers

ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?

Allushta [10]

The triangle is drawn and is shown in the image attached with.

We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.

D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:

AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units

So,

$4 :x = 8 : 6 \\ \\ 
 \frac{4}{x} = \frac{8}{6} \\ \\ 
x=4* \frac{6}{8}=3 
$

Therefore, the length of DE will be 3 units

6 0

3 years ago