- 4 = -17 + x
- 4 = - 17 + x

Answer:

Step-by-step explanation:

Draw a triangle and label the sides (picture below):

● the length is 2x+2

● and the width or the height is 6x

The perimeter of a rectangle is the sum of the sides

● P = 2x+2 + 6x + 2x+2 + 6x

Isolate the similar terms

● P = (2x+2x+6x+6x) + (2+2)

● P = 16x + 4

The perimeter of the window of lengths 2x+2 and 6x is 16x + 4

The formula for calculating the perimeter of a rectangle is expressed as:

[tex]P=2(L+W)[/tex] where:

L is the length of the rectangular stained glass window.

W is the width of the rectangle stained glass window

Given the following

L = (2x +2) inches

W = 6x inches

Substitute the given values into the formula as shown:

[tex]P = 2(2x+2+6x)\\P=2(2x+6x+2)\\P=2(8x+2)\\P=2(8x)+2(2)\\P=16x+4[/tex]

Hence the perimeter of the window is 16x + 4

Learn more here: https://brainly.com/question/10452031

[tex]-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i[/tex]

Answer:

Step-by-step explanation:

Here, MN= NP

→ [tex]128=2x+70[/tex]

→ [tex]2x=128-70[/tex]

Subtract :-

→ [tex]2x=58[/tex]

Divide both sides by 2:-

→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]

→ [tex]x=29[/tex]

OAmalOHopeO

Answer:

3rd option is correct

Step-by-step explanation:

If the table represents a function, that means that it is proportional. But the value increases and decreases, showing no proportional relationship.

So, the answer could be 1st or 3rd as they tell that the table doesn't represent a function.

1st answer says the table doesn't represent a function because the 2 (y-values) are similar;

Their x-values are different so, this answer is wrong.

3rd answer says that the table doesn't represent a function x-value increases, while y-value increases and decreases;

The statement is correct because it this table doesn't represent a proportional relationship as its y-values are increasing and decreasing while its x-values are only increasing.

So, the 3rd option is correct.

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

x² + 11x + (121/4) = 125/4

Simplify the equation, then the equation will be

4x² + 44x + 121 = 125

4x² + 44x + 121 - 125 = 0

4x² + 44x - 4 = 0

x² + 11x - 1 = 0

We know that the formula, then we have

[tex]\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}[/tex]

The value of a = 1, b = 11, and c = -1. Then we have

[tex]\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }[/tex]

Simplify the equation, then we have

x = (- 11 ± 11.18) / 2

x = (-11 - 11.18) / 2, (-11 + 11.18) / 2

x = -11.09, 0.09

The solution of the equation will be 0.09 and negative 11.09.

More about the solution of the equation link is given below.

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Answer:

C

Step-by-step explanation:

1/2(10*7)*13

1/2(70)*13

35*13=455

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

Answer:

[tex] \boxed{13}[/tex]

Step-by-step explanation:

Arranging the data in ascending order:

8 , 8 , 10 , 11 , 13 , 13 ,13 , 14 , 14 , 15 , 16 , 17 , 18 , 18 ,

In the case of discrete data, mode can be found just by inspection, i.e just by taking an item with highest frequency.

Here, 13 has the highest frequency

So, Mode = 13

Extra information

Mode

The mode of a set of data is the value with the highest frequency. A distribution that has two modes is called bimodal. The mode of a set of data is denoted by Mo.

Hope I helped!

Best regards!

Answer:

54 degrees

Step-by-step explanation:

Measure of arc DCB is 125*2 = 250.

So, measure of arc BAD is 360-250 = 110.

So, measure of arc AD is 110 - 56 = 54 degrees

Answer:

48

Step-by-step explanation:

(204-x)/2=78

or, 204-x=156

or, x=204-156

or, x=48

x - 3 = 27

add three to both sides

then x= 30

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Let's solve your equation step-by-step.

[tex]x-3=27[/tex]

Step 1: Add 3 to both sides.

[tex]x -3 + 3 = 27 +3[/tex]

[tex]x = 30[/tex]

So the answer is : [tex]x = 30[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

Possible Answers: –5. –21. 7. –1

Answer:

just put the values and simpilyfy it untill you get the value of X

hence, the value of X is either 3 or, -1

Answer:

the answer

Step-by-step explanation:

D) 0.13 (325)

HOPE THIS HELPS!

do you need the workout?

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation.

Your "x - 9/8" should be     x ^(-9/8).

The 8 represents "the eighth root" of x, and the -9 represents the power to which x is to be raised.  Finally, the " - " sign shows that this 9th power is in the denominator.

x ^(-9/8)     in radical form is     ----------------

[tex]1 divided by \sqrt[8]{x^9\\} \\[/tex]

Answer:

This is already listed in increasing order:

Given order .

We have to arrange it in increasing means lowest to highest

[tex]\\ \sf\longmapsto 780<807<870[/tex]

The listing will be

[tex]\\ \sf\longmapsto 780;807;870[/tex]

Answer:

coin 1

Step-by-step explanation: i think this is it

Answer:

Heads is a 50, 50 situation. so 1/2 plus 1/2 is 1/4

Answer:

3.0 miles

Step-by-step explanation:

Using the conversion 1 mile equals 1.6093 km to convert 4.9 kilometers to miles, round to the nearest tenth of a mile.

1 mile = 1.6093 km

Convert 4.9km to mile

We can use cross multiplication :

Let the number of miles = m

1 mile = 1.6093 km

'm' miles = 4.9 km

Cross multiply :

m × 1.6093 = 4.9 × 1

m = 4.9 / 1.6093

m = 3.0448020 miles

Rounding 3.0448020 to the nearest tenth :

3.0 miles

Answer:

b.$3170

Step-by-step explanation:

43,000-35,000=8,000

SO you would find 9% commission on 8,000

8,000x.09=720

then, you would find his normal commission if he only made 35,000

so you would do 35,000x.07=2450

you would, then, add the two together to get his entire commission, which is $3170

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

Answer:

<ADC=90

therefore AC= 20 using Pytagoras

BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²

3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.

Answer:

Two and three fourtieths.

Step-by-step explanation:

5 6/8 + 4 4/5

= 46/8 + 24/5

= 83/40

= 2 3/40

Two and three fourtieths(2 3/40) is the answer.

Answer: 9 22/40

Step-by-step explanation:

Answer:

6)  C

7) A

8) D

9) B

Step-by-step explanation:

when the sign is < or  > then the point is clear point(white)

when the sign is ≤ or ≥ then the point is solid ( black)

6) 4y+3≤y+6

4y-y≤6-3

3y≤3

y≤3/3

y≤1  (C)

7) -2y>2 ( wen sign is negative you flip the sign from> to <)

y<-2/2

y<-1  (A)

---------------------------------------------------------------------------------------

8) y/3<-1 ⇒ y<-3  the sign is < means it is clear and on -3 (D)

--------------------------------------------------------------------------------------

9) 3y≤2y+3

3y-2y≤3

y≤3 ( B)

A = (15.5 - 11.9) / (110 - 30) = 3.6 / 80 = 0.045

Average rate of change = 0.045 cm

The average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

Derivative in mathematics represent the rate of change of a function with respect to a variable.

Given is a red sea urchin such that at age 30, the urchin has a diameter of 11.9 cm whereas urchin at age 110 has a diameter of 15.5 cm.

From the question we can write -

Initial age = A[1] = 30

Initial diameter = D[1] = 11.9 cm

Final Age = A[2] = 110

Final diameter = D[2] = 15.5 cm

Average rate [r] = D[2] - D[1] / A[2] - A[1]

r =  D[2] - D[1] / A[2] - A[1]

r = 15.5 - 11.9/110 - 30

r = 3.6/80

r = 0.045

Therefore, the average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

To solve more questions on rate measurements, visit the link below-

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Answer:

x - 12

Step-by-step explanation:

"twelve" - number

"less than" - switches the entire expression

"a variable" - a unknown number shown as a letter. can be x.

Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.

12 - x will turn into:

x - 12

Hope this helped.

Answer:

x-12

Step-by-step explanation:

Let the variable be x

12 less than x

x-12

Answer:

17

Step-by-step explanation:

Answer: 14%

Step-by-step explanation:

Complete question is provided in the attachment below:

Probability that members of the junior varsity swim team wear glasses = 55%=0.55

Given: P(wear glasses) = 0.55

P(not wear glasses) = 1-0.55 = 0.45

P(member in 10th grade | not wear glasses) = 30%

Using conditional probability formula:

[tex]P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}[/tex]

[tex]\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%[/tex]

Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.

So, the correct option is "14%".

Answer:

i: -1.3

ii: 1.3

Step-by-step explanation:

You literally have it.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

Answer:

22%

Brainliest, please!

Step-by-step explanation:

78 - 64 = 14

14 / 64 = 0.21875

= 22% (when rounded)