Find the value of x in the diagram at the right.
Show your work.

a) The given relation is function.

b) The function is, $x = 18.5 y

c) The value of (f+ g)(9) is 5.

d) The he original amount of her loan is 6000.

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

Given:

a) The given relation is function because is input have have output, no two outputs have same input.

b) After 8 hours, a person earned $148 in wages.

So, the unit rate change = 148/ 8

                                        = 18.5

So, if y represents the number of hour and $x the wages, then the function is $x = 18.5 y.

c)  Let f(x)=x and g(x)=x-13

(f+ g)(9)

= (x+  x-13) (9)

= 2x -13

= 2(9)- 13

= 5

d) The modeled function. P(m) = 6000 - 300m.

so, the original amount of her loan is 6000.

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Answer:

0.07

Step-by-step explanation:

lets make a chart first

           small | medium | large

hot     |   5      |     48     |    22

cold   |   8      |       1      |     5

1. add all the hot drinks

5+48+22=75

2. find 5/75,

5/75=0.0666666

5

9x⁵=5

5y³=3

so 5>3=5

pls mark me as brainlist

Answer:

a = 3

Step-by-step explanation:

The point (- 5, 7a ) satisfies the equation

Substitute the coordinate points into the equation and solve for a

7a = 7(- 5) + 56 = - 35 + 56 = 21 ( divide both sides by 7 )

a = 3

Answer:

key note is that when the angles are added it equals 180 degrees

Point P lies on the diagonal AC of square ABCD with AP > CP. Let [tex]$O_1$[/tex] and [tex]$O_2$[/tex] be the circumcenters of [tex]$\triangle \mathrm{ABP}$[/tex] and [tex]$\triangle \mathrm{CDP}$[/tex] respectively. Given that AB = 12 and [tex]$\angle \mathrm{O}_1 \mathrm{PO}_2=120^{\circ}$[/tex], then [tex]$\mathrm{AP}=\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}$[/tex],

where a and b are positive integers.

The value of a + b is 96.

Let mid-point of DC be E and mid-point of AB be F.

Since [tex]$\mathrm{O}_1$[/tex] and [tex]$\mathrm{O}_2$[/tex] are circumcenters, therefore both lie on the perpendicular bisectors of DC and AB passing through E and F.

Now, [tex]$\mathrm{O}_1 \mathrm{P}=\mathrm{O}_1 \mathrm{~B}$[/tex] and [tex]$\mathrm{O}_2 \mathrm{P}=\mathrm{O}_2 \mathrm{D}$[/tex]

Also [tex]$\angle \mathrm{CAB}=\angle \mathrm{ACD}=45^{\circ}$[/tex]

Therefore [tex]\angle \mathrm{BO}_1 \mathrm{P}=2 \times 45^{\circ}=90^{\circ}=\angle \mathrm{DO}_2 \mathrm{P}$[/tex]

Angle subtended by an arc of a circle at its center = 2 × the angle subtended at its circumference

Therefore [tex]\angle \mathrm{O}_1 \mathrm{~PB}$[/tex] and [tex]$\angle \mathrm{O}_2 \mathrm{PD}$[/tex] are isosceles right triangles.

Using the above information and symmetry,

[tex]$\angle \mathrm{DPB}=120^{\circ}$[/tex]

Also, [tex]$\triangle[/tex]ABP is congruent to [tex]$\triangle[/tex]ADP (SAS)

and [tex]$\triangle[/tex]CPB is congruent to [tex]$\triangle[/tex]CPD (SAS)

Therefore [tex]\angle \mathrm{APB}=\angle \mathrm{APD}=60^{\circ}[/tex]

And [tex]\angle \mathrm{CPB}=\angle \mathrm{CPD}=120^{\circ}[/tex]

Now, [tex]$\angle \mathrm{ABP}=(180-60-45)^{\circ}=75^{\circ}$[/tex]

[tex]\Rightarrow \angle \mathrm{O}_1 \mathrm{BF}=30^{\circ}[/tex]

And [tex]$\angle \mathrm{PDC}=(180-120-45)^{\circ}=15^{\circ}$[/tex]

[tex]\Rightarrow \angle \mathrm{O}_2 \mathrm{DE}=30^{\circ}[/tex]

Therefore [tex]\triangle \mathrm{O}_1 \mathrm{BF}$[/tex] and [tex]$\triangle \mathrm{O}_2 \mathrm{DE}$[/tex] are right angled triangles.

BF = DE = [tex]\frac{12}{2}[/tex] = 6

[tex]\Rightarrow O_1 B=O_2 D=4 \sqrt{3}[/tex]

And  PB = PD = [tex]\frac{4 \sqrt{3}}{\cos 45^{\circ}}=4 \sqrt{6}[/tex]

Now, Let x = AP

Using law of cosine on [tex]$\triangle[/tex]ABP, we have

[tex]& 96=x^2+144-24 x \times \frac{1}{\sqrt{2}} \\[/tex]

[tex]& \Rightarrow x^2-12 \sqrt{2} x+48=0 \\[/tex]

[tex]& \Rightarrow x=\sqrt{72} \pm \sqrt{24}[/tex]

Taking the positive root, AP = [tex]\sqrt{72}+\sqrt{24}$[/tex]

Therefore a + b = 72 + 24 = 96

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Point P lies on the diagonal AC of square ABCD with AP > CP. Let [tex]$O_1$[/tex] and [tex]$O_2$[/tex] be the circumcenters of [tex]$\triangle \mathrm{ABP}$[/tex] and [tex]$\triangle \mathrm{CDP}$[/tex] respectively. Given that AB = 12 and [tex]$\angle \mathrm{O}_1 \mathrm{PO}_2=120^{\circ}$[/tex], then [tex]$\mathrm{AP}=\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}$[/tex], where a and b are positive integers. Find a + b. (correct answer +5, wrong answer 0 )

Answer:

7

Step-by-step explanation:

a^2 + b^ = c^2

x^2 + 24^2 = 26^2

x^2 = 100

x=10

Can i have brainliest please

Answer:

x = 10

Step-by-step explanation:

This is a right triangle problem

use the Pythagorean Theorem

a^2 + b^2 = c^2

x^2 + 24^2 = 26^2

x^2 + 576 = 676

Subtract 576 from both sides

x^2 = 100

Take the square root of both sides

x = 10

Answer:

9978

Step-by-step explanation:

10000 - 22 = 9978

9978 is the answer

Answer: 9978

Step-by-step explanation:

Stack the numbers up like this 10000

                                                          22

     borrow from the one make the zero a ten, and then borrow from that to make the next one and make it a nine and then do it to the last one and subtract. Hope this makes sense

Answer:

114.12

Step-by-step explanation:

Answer:

a season your welcome: ]

Answer:

Seasons shouldn't be capitalized

Answer:

300 words in 6 minutes

300/6 words in 1 minutes

50 words in 1 minutes

Therefore,Lee can type 50 words in 1 minute.

The percent discount on the new phone is 15%.

Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.

To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.

Discount = Original Price - Sale Price

Discount = $46 - $39.10

Discount = $6.90

Percent Discount = (Discount / Original Price) x 100

Percent Discount = ($6.90 / $46) x 100

Percent Discount = 15%

Therefore, the percent discount is 15%.

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Answer:

Average rate of change

=

26.5

Explanation:

Use the slope formula to find average rate of change:

m

=

y

2

−

y

1

x

2

−

x

1

To use the slope formula, you need 2 points on the curve - we only have to x values, so we need to find f(8) and f(10).

f

(

8

)

=

92

f

(

10

)

=

145

These means are points are

(

x

1

,

y

1

)

=

(

8

,

92

)

and

(

x

2

,

y

2

)

=

(

10

,

145

)

.

m

=

145

−

92

10

−

8

m

=

53

2

m

=

26.5

Step-by-step explanation:

The average rate of change on the interval from 0 to 10 is 30

The function is given as:

f(x)=3x^2-8

The interval is given as:

0 to 10

Calculate f(0) and f(10)

f(0)=3 *(0)^2 -8

f(0) = -8

f(10)=3 *(10)^2 -8

f(10) = 292

The average rate of change is then calculated as:

Rate = (f(10) - f(0))/(10 - 0)

This gives

Rate = (292 +8 )/(10 - 0)

Evaluate

Rate = 30

Hence, the average rate of change on the interval from 0 to 10 is 30

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Answer:

24(w+2)

Step-by-step explanation:

You must look for a common denominator between the two parts of the expression. In this case, 48 is divisible by 24. 48/24 = 2. So you can now move the common denominator out to the front. Then use this common denominator and divide each term by it. 24w/24 = w and 48/24 = 2. Therefore, your expression factored is 24 (w+2)

Answer: x = 3

Step-by-step explanation:

-3 +9x = 24

9x= 24+3

9x=27

9x/9= 27/9

x=3

Answer:

x = 3

Step-by-step explanation:

-3 + 9x = 24

rearrange:

9x - 3 = 24

Add 3 to both sides of the equation:

9x - 3 + 3 = 24 + 3

9x = 27

Divide both sides by 9:

9x/9 = 27/9

x = 3

Have a nice day!

Answer:

Axis of Symmetry = -4

Vertex = (-4,7)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

√11²+13² is the answer due to pythagoras theorem. You imagine the line between them is the hypotenuse for the right angled triangle so it’s A as 121 plus 169 is 290

On solving the provided question, we can say that - here in the given equation we got x- 1 = 0; x = 1, y = 2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

y = 2x +1

y = 3x - 1

x- 1 = 0

x = 1, y = 2

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Answer:

80

Step-by-step explanation:

[tex]6\frac{2}{3} *12[/tex]

First, write the fractions as improper fractions.

[tex]\sf\frac{20}{3} *\frac{12}{1}[/tex]

Multiply.

[tex]\sf\frac{240}{3}[/tex]

Divide.

80

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\dfrac{2}{3}\times 12}[/tex]

[tex]\mathsf{= \dfrac{6\times3+2}{3}\times\dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{18 + 2}{3} \times\dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{20}{3} \times\dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{20\times12}{3\times1}}[/tex]

[tex]\mathsf{= \dfrac{240}{3}}[/tex]

[tex]\mathsf{= 240\div 3}[/tex]

[tex]\mathsf{= 80}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{80}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

n= 36

Step-by-step explanation:

18=n-18 (add 18 to both sides of the equation, 18 and -18 cancel out)

36=n

The solution for n in equation 18 = n - 18 is 36.

To solve the equation 18 = n - 18, we need to isolate the variable n. Here's how:

Start with the equation: 18 = n - 18.

Add 18 to both sides of the equation to move the constant term to the other side: 18 + 18 = n - 18 + 18.

Simplify 36 = n.

Therefore, the solution for n is 36.

By adding 18 to both sides of the equation, we eliminate the -18 on the right side, leaving n isolated on the right side. Thus, the value of n that satisfies the equation is 36.

To check the solution, we substitute n = 36 back into the original equation: 18 = 36 - 18. Simplifying this equation results in 18 = 18, which confirms that n = 36 is indeed the solution to the equation.

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Step-by-step explanation:

[tex]midpoint = ( \frac{(2 + 8)}{2} , \frac{(3 + 9)}{2} ) \\ = (5,6)[/tex]

Answer:

√(x2-x1)²+(y2-y1)²

√(8-2)²+(9-3)²

√6²+6²

√36+36

√72

8.48528137424≈8.5

Step-by-step explanation:

Answer:

m(arc RT) = 148°

Step-by-step explanation:

From the picture attached,

Segment RT is a chord and segment RS is a tangent of a circle O meeting at R.

By the property of tangent chord angle,

"Angle formed by an intersecting tangent and chord measures half of the intercepted minor arc"

m(∠SRT) = [tex]\frac{1}{2}(\text{minor arc RT})[/tex]

[tex]74^0=\frac{1}{2}m(RT)[/tex]

[tex]m(\text{arc RT)}=2(74^0)[/tex]

                 [tex]=148^0[/tex]

Therefore, measure of minor arc RT is 148°.

Answer:

yes

Step-by-step explanation:

according to pythagoras theorem = hypotenuse² = √ base²+perpendicular²

so 21² + 28² = 35²

Square bases is not an attribute of a right rectangular prism. Option D

A right rectangular prism can be described as a three-dimensional solid shape with 6 faces, 12 edges, and 8 vertices.

It is sometimes called a cuboid.

All the faces of the right rectangular prism are rectangular in shape.

Examples of  right rectangular prisms are books, bricks and aquarium.

Some properties of a right rectangular prism include;

These prisms have no square base(s)

Hence, the right option is square bases.

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Answer:

tree = 8

snowman = 1

deer = 4

snowflake = 4

Step-by-step explanation:

say t = tree, s = snowman, d = deer, f = snowflake

1. For 2d + f, since you know d is equal to f, replace the snowflake with a deer, turning the equation into 3d = 12. To find the value of d divide by 3 on both sides. This will result in 4. So, the value of deer = 4.

2. Now, find the value of the snowman using the value of the deer.

4-3 = 1. This means the value of the snowman = 1.

3. Plug in the value of the snowman into 2t + s = 17.

     2t + 1 = 17

  Subtract on both sides to get 2t by itself and then simplify

      2t = 17 -1 --> 2t = 16

  Divide by 2 on both sides to find the value of the tree

      2t/2 = 16/2 --> t = 8

Answer:

2000

Step-by-step explanation:

1 kilometer is = 1000 meters

give brainliest pls

Answer:

its 80ft

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

can I have branliest

Answer: 40,000

Step-by-step explanation: Well it doubles every 440 minutes. Since it is asking for the size after 880 minutes, and the starting size is 20,000 just double 20,000 because 440 times 2 equals 880.