How many solutions are there for the system of equations shown on the graph?

No solution
One solution
Two solutions
Infinitely many solutions

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

Answer:

5(3)^(n-1)

a*b^n

5 is the second value (n-1), so a=5

the amount triples (*3) every minute, so b=3

D, or an = 5(3)^n-1, is correct!

Let’s break this down...

5 is the number of files that we have in the first minute. The 3 triples the 5. Since there is an exponent, the growth is exponential and will always triple the product before it.

Hope this helps :)

[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]

[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],

[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]

To classify the statements, we need to evaluate each of them:

[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.

[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]

so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.

[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]

so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers

[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.

Learn more about inequalities here: https://brainly.com/question/24786628

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

Answer:

B. G(x)=(x-2)^2 + 1

Step-by-step explanation:

the graph shifts two to the right x^2 turns into (x-2)^2

and the y value shifts from 0 to 1 (+1)

together, we get (x-2)^2 + 1

:)

Answer:

56 miles

Step-by-step explanation:

Let x is the total distance Sam will travel today

Sam has already biked 12 + x/4 miles

He needs to bike 3x/8 (x.3/8) + 9 miles

12 + x/4 + 3x/8 + 9 = x

21 + x/4 + 3x/8 = x

21 + 2x/8 + 3x/8 = x

21 + 5x/8 = x

21 = x - 5x/8

21 = 3x/8

21.8 = 3x

168 = 3x

x = 168/3

x = 56 (miles)

Answer:

Step-by-step explanation:

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

Answer:

NP (Not possible)

Step-by-step explanation:

When you find 'X', by inserting '6x-3' into the 'Y', you get:

18x - 3(6x-3) = 9

distribute:

18x -18x + 9 = 9

Subtract 9 from 9 = 0

Add like numbers (the x's), and it equals 0

0=0

You can't find x, rendering the equation 'NP'

Hopefully this answer is right and an option :)

Answer:The function is odd

Step-by-step explanation:

Answer:

x= 2 so it is even.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

3*8=24+2=26

Answer:

10 is B

11 is D

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60 Use dist property

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

Divide both sides by 3

19 = x

Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

Answer: 7678687nx09

dad

Step-by-step explanation:

Answer:

[tex]\frac{\pi}{6}[/tex] radians

[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].

As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].

Answer:

Slope:40 Y-intercept: 70 (AKA, B)

Step-by-step explanation:

y=mx + b

(mx is slope, the x can show u where the slope is usually located.)

let me know if im wrong

Answer:

2p + 3e = 14

Step-by-step explanation:

The required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

Given, Alejandro bought $3.50 worth of pencils and erasers at the school store.

The cost of each pencil is $0. 50.

The cost of each eraser is  $0. 75.

Since He denotes no. of pencil by p and no. of eraser by e, so the required equation will be,

[tex]0.50\ p+0.75\ e= 3.50\\[/tex].

Hence the required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

For more details on Equation solving follow the link:

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NEW ANSWER

Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.

thanks for brainly (:

glad I could help!

Answer:

answer 26

ok now help me

Answer:

True; this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].

Step-by-step explanation:

"[tex]x[/tex] is a factor of [tex]y[/tex]" means that there is a whole number [tex]p[/tex] such that [tex]x\, p = y[/tex].

Likewise, [tex]y[/tex] is a factor of [tex]z[/tex] if and only if there is a whole number [tex]q[/tex] such that [tex]y\, q = z[/tex].

This [tex]x[/tex] would be a factor of [tex]z[/tex] if there is some whole number [tex]r[/tex] such that [tex]x\, r = z[/tex].

The first equality [tex]x\, p = y[/tex] implies that [tex]y[/tex] may be substituted with [tex]x\, p[/tex].

Substitute the [tex]y[/tex] in the second equality [tex]y\, q = z[/tex] with [tex](x\, p)[/tex] to obtain:

[tex](x\, p)\, q = z[/tex].

Rearrange to obtain:

[tex]x\, (p\, q) = z[/tex].

The product of two whole numbers is still a whole number. Since [tex]p[/tex] and [tex]q[/tex] are both whole numbers, [tex]p\, q[/tex] would also be a whole number.

Thus, if [tex]r = p\, q[/tex], then [tex]x\, r = x\, (p\, q) = z[/tex], while [tex]r[/tex] would be a whole number.

Therefore, this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer: the answer is  -5

Step-by-step explanation:

k

Answer:

f(0) = 0

f(22) = 11

f(-22) = -11

Step-by-step explanation:

Substitute the values for x.

[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]

Answer:

60 degrees

Step-by-step explanation:

edge

Answer:

c

Step-by-step explanation:

hope this helps

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

this we use in the second

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she worked 14 hours on job A and 9 hours on job B.

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

https://brainly.com/question/3457976

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x  Given  Predicted    Residual

1    -2.7         -2.84              

2    -0.9         -0.81            

3     1.1            1.22              

4     3.2          3.25              

5     5.4          5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x  Given  Predicted    Residual

1    -2.7         -2.84             0.14

2    -0.9         -0.81            -0.09

3     1.1            1.22             -0.12

4     3.2          3.25           -0.05

5     5.4          5.28            0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

Read more about residuals at:

https://brainly.com/question/4333650