determine if the point (4,7) is a solution to the system of equations shown below. Justify your yes/no answer.
y=2x-1 and y=1/2x+5

Answer:

1. 2

2.3[tex]\sqrt{5}[/tex]

3.8[tex]\sqrt{6}[/tex]

4.2.5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Remember that [tex]\frac{\sqrt{a}}{\sqrt{b}}[/tex]=[tex]\sqrt{\frac{a}{b} }[/tex], and [tex]\frac{a}{\sqrt{b}}[/tex]=[tex]\frac{a}{\sqrt{b}}[/tex]*[tex]\frac{\sqrt{b}}{\sqrt{b}}[/tex]=[tex]\frac{a\sqrt{b}}{b}[/tex]

1. [tex]\frac{\sqrt{48}}{\sqrt{12} }[/tex]= [tex]\sqrt{\frac{48}{12} }[/tex]=[tex]\sqrt{4}[/tex]=2

2. [tex]\frac{15}{\sqrt{5} }[/tex]=[tex]\frac{15}{\sqrt{5} }[/tex]*[tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]=[tex]\frac{15\sqrt{5} }{5}}[/tex]=3[tex]\sqrt{5}[/tex]

3. [tex]\frac{48}{\sqrt{6}}[/tex]= [tex]\frac{48}{\sqrt{6}}[/tex]* [tex]\frac{\sqrt{6}}{\sqrt{6}}[/tex]= [tex]\frac{48\sqrt{6}}{6}[/tex]=8[tex]\sqrt{6}[/tex]

4. [tex]\frac{25}{\sqrt{10}}[/tex]=[tex]\frac{25}{\sqrt{10}}[/tex]*[tex]\frac{\sqrt{10}}{\sqrt{10}}[/tex]=[tex]\frac{25\sqrt{10}}{10}[/tex]=2.5[tex]\sqrt{10}[/tex]

Answer: $22.50

Step-by-step explanation:

The interest will be gotten by using the formula:

= PRT

= Principal × Rate × Time

= 400 × 7.5% × 9/12

= 400 × 0.075 × 0.75

= $22.50

The interest is $22.50

Answer:

$20,382.71

Step-by-step explanation:

We have the following equation for compounding interest

[tex]FV=PV(1+\frac{i}{n})^{(n*t)}\\\\25500=x(1+\frac{.028}{365})^{365*8}\\25500=1.251x\\20382.711[/tex]

Answer:

12

Step-by-step explanation:

2x + 24° = 4x ( being vertically opposite angles)

4x - 2x = 24°

2x = 24°

x = 24° / 2

x = 12°

Hope it will help :)

Answer:

t=0.08

Step-by-step explanation:

see attached kindly

Answer:

40c=120

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

2.5b+2a+5

Step-by-step explanation

Answer:

The third choice or 2.5b+2a+5

Step-by-step explanation:

your welcome!

Answer:

12 - h

Step-by-step explanation:

Answer:

HERE IS YOUR ANSWER!

Step-by-step explanation:

from the basic knowledge of Angels in a trapezium

115 + 18 y + 10y + ( 3y + 6) = 360

31y + 120 = 360

31y = 320-120

31y = 240

y = 240/31

y = 7.74

Answer:

I think it would be the last one

Answer:

The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Step-by-step explanation:

For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:

10+0.60m<0.75m, where:

m is the number of miles driven

Now, you can solve for m:

10<0.75m-0.60m

10<0.15m

10/0.15<m

m>66.6

According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Answer:

try 9

Step-by-step explanation:

3 times 3

Answer: 9

Step-by-step explanation:

3 x 3 = 9

Answer:

who got the maximum marks? it would have been apala she got the high mark

Answer:

The third triangle

Step-by-step explanation:

The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.

So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.

The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.

The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.

The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.

Hope this helps! Feel free to ask any questions! :)

Answer:

C the third triangle. Hope this helps

Step-by-step explanation:

Answer:

a: either 3 or 5

b: 1 or 2

c: 2 or 1

d: 5 or 3

Step-by-step explanation:

a=3, bc = 12, d = 5

2*3*12*5 = 360

I think this is one solution

Answer:

- [tex]\frac{5x}{7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5x-10x^2}{14x-7}[/tex] ← factor out 5x in the numerator and 7 in the denominator

= [tex]\frac{5x(1-2x)}{7(2x-1)}[/tex] ← factor out - 1 on the numerator

= [tex]\frac{-5x(2x-1)}{7(2x-1)}[/tex] ← cancel the common factor (2x - 1)

= - [tex]\frac{5x}{7}[/tex]

Answer:

a. 9in

Step-by-step explanation:

PLS MARK ME BRAINLIEST!!!!!!!

Answer:

$20 was the original price. 16÷20= .8=80%

Answer:

The original price is 100%. and 80%

Step-by-step explanation:

The original price is 100%. and 80%=$15. ⇒1%=$1580=$0.1875. ⇒100%=$0.1875×100=$18.75.

Answer:

A. QII.

Step-by-step explanation:

The tan < 0 in Quadrants 2 and 3.

The csc > 0 in Quadrants  1 and 2.

Answer:

y=7/24x+625/24

Step-by-step explanation:

-7x+24y=-25"2

-7x+24y=625

+7x            +7x

24y=7x+625

divide 24

y=7/24x+625/24

Got this for my mathswatch too

Answer:

695 km and hour

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

23+25=48

9514 1404 393

Answer:

  16. x = 11

  17. x = 4

Step-by-step explanation:

The triangles of interest are congruent, so corresponding parts have the same measure.

__

16. 2x+2 = x+13

  x = 11 . . . . . . . . . subtract x+2 from both sides

__

17. 4x+4 = 3x+8

  x = 4 . . . . . . . . . subtract 3x+4 from both sides

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

Answer:

$134,820

Step-by-step explanation:

is the correct answer