Mathematics High School

## Answers

**Answer 1**

The **values** x and y take are 5 and 0 respectively.

We know that in **mathematics**, a **graph** is a visual **representation** or **diagram** that shows data or values in an ordered way.

The relationships between two or more things are frequently **represented** by the **points** on a **graph**.

In this case, we have to determine the **values** of x and y.

Notice that in this **graph**, **point** A is located at A = 5 and **point** B is located at B = 0.

So, we can write (A, B) = (x, y) = (5, 0)

Therefore, the **values** x and y take are 5 and 0 respectively.

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## Related Questions

HELPPP i need to find standard form and general form, please help

### Answers

The equation in **slope-intercept **form is **y = 13/8x -17/8 **and the equation in **standard form** is **13x -8y = 17**

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C

Given the coordinate points (-3, -7) and (5, 6)

Determine the slope

Slope = 6-(-7)/5-(-3)

Slope = 13/8

For the y-intercept

6 = 13/8(5) + b

6 = 65/8 + b

b = 6 - 65/8

b = -17/8

The equation in **slope-intercept **form is **y = 13/8x -17/8**

Write in standard form

Recall y = 13/8x - 17/8

*Multiply through by 8*

8y = 13x - 17

-13x + 8y = -17

**13x -8y = 17**

Hence the equation in **standard form** is **13x -8y = 17**

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A shopkeeper sold a watch for rupees 992 allowing 20% discount find its marked price

### Answers

**Answer:**

⇒ Let marked price be Rs.x.

⇒ Discount = 20% of marked price.

⇒ Discount=

100

20

×x=

100

20x

⇒ Selling price = Marked price - Discount.

⇒ 192=x−

100

20x

⇒ 192=

100

80x

⇒ x=

80

19200

=Rs.240

**MARK IT AS BRAINLIEST****AND FOLLOW ME.**

**Answer:**

S.p = 992

discount = 20%

marked price = S. p + discount

= 992 + 20/100*992

= 992 + 198.4

= 1190.4

Rayonnia is buying cans of frozen lemonade concentrate to make punch for a holiday party with each can she can make 6 ￼￼ cups of lemonade write an equation which gives the number of cups of lemonade that can be made with any number of cans of frozen lemonade concentrate

### Answers

The **number **of cups of **lemonade, y** that can be made with any **number **of cans of frozen **lemonade **concentrate, x is **y=6x.**

What is an equation?

An **equation **is formed when two equal **expressions **are equated **together **with the help of an **equal sign '='.**

Given that with a **single **can of **frozen lemonade** concentrate 6 cups of lemonade can be made. Therefore, the **number **of **cups **that can be made with x **number **of cans is,

**Number **of **cups **that can be made, y = 6x

Hence, the **number **of cups of **lemonade, y** that can be made with any **number **of cans of frozen **lemonade **concentrate, x is **y=6x.**

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For what values of x does f(x) = 0?

O-4, 0, 2

O-2, 0, 4

O-5, 0, 17

O-17, 0,5

### Answers

The **values** of **x** does **f(x) = 0** will be -**4,0,2**.Option** A** is corect.

What is a graph?

A **diagram **depicting the **relationship **between two or more **variables**, each **measured **along with one of a **pair **of **axes** at **right angles**.

The **graph **shows the **cubic polynomial equation **found as;

⇒(x+4)(x)(x-2)

The points f(x) = 0 is;

⇒(x+4)(x)(x-2)

⇒(-4+4)(0)(2-2)

⇒0

The **values **of x does f(x) = 0 will be -4,0,2.

Hence, option** A** is corect.

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please solve this question

### Answers

**Step-by-step explanation:**

please give this answer brainlist answer

Find the measure of angle RPQ.

### Answers

**Answer:**

20°

**Step-by-step explanation:**

Measure of QR is 180 - 108 = 72°

then using intercepted arc - external angle theorem:

angle RPQ then equals 1/2 ( 108 - 72) = 20 °

7litres of petrol cos t £3.50. Find the cost of 23 litresof petrol of the same grade.

### Answers

**Answer:**

£11.50

**Step-by-step explanation:**

7litres of petrol cos t £3.50. The cost of 1 liter will be:

= £3.50/7

= £0.50

The cost of 23 litres of petrol of the same grade will be:

= £0.50 × 23

= £11.50

2(x-4) + 3x-x² for x = 3.

### Answers

**Answer:**

-2

**Step-by-step explanation:**

[tex]2(3-4) +3(3)-3^2\\= 2(-1) + 3(3) -3^2\\= -2 + 9 - 9\\= -2[/tex]

Select the correct answer. What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`? A. `y = -(3)/(4) x -(1)/(4)` B. `y = 3/4 x +(1)/(4)` C. `y = 3/4 x -(31)/(4)` D. `y = 3/4 x +(31)/(4)`

### Answers

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

**Answer: **[tex]\textsf{y = 3/4x - 7.75}[/tex]

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

**Given:** [tex]\textsf{Passes through (5, -4) with a slope of 3/4}[/tex]

**Find:** [tex]\textsf{The equation in slope-intercept form}[/tex]

**Solution:** In order to determine the equation we need to first plug the values into the point-slope form, simplify, distribute, and solve for y to get our final result.

Plug in the values

[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-4) = 3/4(x - 5)}[/tex]

Simplify the expression and distribute

[tex]\textsf{y + 4 = 3/4(x - 5)}[/tex][tex]\textsf{y + 4 = (3/4 * x) + (3/4 * -5)}[/tex][tex]\textsf{y + 4 = 3/4x - 3.75}[/tex]

Subtract 4 from both sides

[tex]\textsf{y + 4 - 4 = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 7.75}[/tex]

The equation in slope-intercept form that follows the information that was provided is** y = 3/4x - 7.75**

Which statement describes the graph?

<-10

10-

-10+

10

OA. The graph crosses the y-axis at (0, -5), decreasing from x = -10 to

x= -2 and increasing from x= -2 to x = 10.

B. The graph crosses the y-axis at (0, -5), decreasing from x = -10 to

x = 0 and remaining constant from x = 0 to x = 10.

C. The graph crosses the y-axis at (-6, 0), decreasing from x= -10 to

x = -2 and remaining constant from x=-2 to x = 10.

OD. The graph crosses the y-axis at (0, -5), decreasing from x = -10 to

x= -2 and remaining constant from x=-2 to x= 10.

### Answers

Correct answer is **option D**.

**The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.**

What is Increasing Function?

A **function f(x)** is said to be **increasing** on an interval I if for any two numbers x and y in I such that **x < y**, we have **f(x) ≤ f(y)**.

For this case, the first thing you should observe is that you have a different **function** in two **distinct intervals**.

We have then:

For **[-10, 2]:**

The** linear function** has a **positive slope**, therefore it grows and cuts the **y-axis** at the point **(0, 5)**

For** [2, 10]**:

We have a **constant function** whose equation is:

**y = 5**

Thus, the **correct Answer** is:

**D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.**

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Question 4(Multiple Choice Worth 1 points)

(02.04 LC)

Write the equation of a line that goes through point (4, 0) and has an undefined slope.

Ox=4

Ox=0

Oy=4

Oy=0

### Answers

**Answer:**

Ox=4 is the answer for the question

2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶

value of n?

### Answers

**Answer:**

[tex]n = 14[/tex]

**Step-by-step explanation:**

[tex]~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14[/tex]

Please help I will mark brainliest!!!!!

### Answers

**Answer:**

#1 (4b + 6a) #2 150y

**Step-by-step explanation:**

#1 :area of right triangle: ab/2

4x2/2 = 4b

area of rectangle: length x width

2 x 3 = 6a

#2:

5y + 2.5y = 7.5y x 2 = 15y

so the top and bottom are both 15 y

the sides are each 5y so thats 10 y

15x10= 150y

Step 1: 4 x minus x + 2 + 6 = 6 x + 16

Step 2: 3 x + 8 = 6 x + 16

Step 3: 8 minus 16 = 6 x minus 3 x

Step 4: Negative 8 = 3 x

Step 5: Negative StartFraction 8 Over 3 EndFraction = x

Jorge verifies his solution by substituting Negative StartFraction 8 Over 3 EndFraction into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error?

Jorge distributed incorrectly.

Jorge incorrectly combined like terms.

Jorge incorrectly applied the addition and subtraction properties of equality.

Jorge incorrectly applied the multiplication and division properties of equality

### Answers

The **error **from **Jorge's arithmetic operation** on the given algebraic expression is that he** distributed it incorrectly.**

What is an algebraic expression?

An **algebraic expression **is a mathematical equation that is made up of variables together with** arithmetic operations.**

From the given expression, we have:

4x - x + 2 + 6 = 6x + 16

Add similar elements together;

3x + 8 = 6x + 16

Using distributive property, subtract 8 from both sides:

3x + 8 - 8 = 6x + 16 - 8

3x = 6x + 8

Simplify

3x-6x = 8

-3x = 8

Divide both sides by -3

-3/-3x = -8/3

**x = -8/3**

So from **Jorge's calculation**, because he **distributed incorrectly**, we can conclude that could be his error.

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g Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are: PeriodFertilizer SalesNumber of Mowers Sold 11.915 21.612 31.713 41.915 52.116 61.813 71.914 81.713 91.815 101.412 111.814 121.714 131.714 141.612 a. Determine the correlation between the two variables.

### Answers

The **correlation **between **variables **(r) = 0.959, and signifies a **positive **relationship between the **variables**.

What is correlation?

The **correlation **of two pairs of data **values **tells about the degree of movement(**along **or **opposite**) that can occur in one of the **data **values when other data **value **is **increased **or **decreased **respectively.

The **pertinent **data are:

Period **Fertilizer Sales **Number of **Mowers **Sold

1 1.6 12.0

2 1.3 10.0

3 1.8 13.0

4 2.0 15.0

5 2.2 15.0

6 1.5 11.0

7 1.6 12.0

8 1.4 10.0

9 1.8 13.0

10 1.4 10.0

11 1.9 15.0

12 1.4 11.0

13 1.7 14.0

14 1.4 13.0

To determine the **correlation **between the two **variables**

**Regression equation **( y ) = a + bx

y = **dependent variable **( mower )

x = **independent variable **( fertilizer)

a = **intercept **point ( y-axis and **regression **line )

b = **slope **( **regression **line )

From the given **data**;

N = 14 , Σ x = 22.8,

Σy = 131, Σy^2 = 1269,

Σx^2 = 38.18, (Σx)^2 = 519.84

Σxy = 219.8, (Σy)^2 = 17161

Hence, The **correlation **between **variables **(r) = 0.959, and signifies a **positive **relationship between the **variables**.

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Exercise 1.2 1 Round each of these numbers to the degree of accuracy shown in brackets. a) 7765 (nearest hundred). b) 1099 (nearest thousand). c) 487 (nearest ten) d) 34 766 (nearest hundred) e) 45620000 (nearest million please help me

### Answers

**Answer:**

a. 700

b. 1000

c. 80

d. 700

e.

Keiko+has+a+health+insurance+premium+of+$3298+annually. +if+her+employer+pays+90%+of+the+premium,+how+much+does+she+pay+annually?

### Answers

**Answer: $329.8**

[tex]3298-(\frac{90}{100} *3298)\\= 3298 - 2968.2\\= 329.8[/tex]

The **amount** Keiko pays annually is **$329.8**

To answer the question, we need to know the **amount** Keiko pays annually

How to calculate how much Keiko pays annually.

Since Keiko health** insurance** **premium** annually is $3298 and if his employer pays 90% of the** premium,** we want to know how much Keiko pays.

Since the employer pays 90% of the **premium**, the employer pays x = 90% of $3298

= 0.9 × 3298

**= $2968.2**

So, the **amount Keiko pays annually** is **y = premium - amount employer pays, x**

= $3298 - $2968.2

**= $329.8**

So, the **amount** Keiko pays annually is **$329.8**

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It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches. which function models the horizontal displacement as a function of time in seconds?

### Answers

The **function **that models the **horizontal displacement **as a function of time in seconds is y = 5cos(2π/3 x)

How to model the function?

The given parameters are:

Time, t = 1.5 secondsHorizontal distance, h = 10 inches

Start by calculating the **amplitude**, A using:

A = h/2

This gives

A = 10/2

A = 5

Next, we calculate the **period** using:

B = π/t

This gives

B = π/1.5

Evaluate

B = 2π/3

The pendulum is at the middle.

So, it has no vertical displacement

The **function **is then represented as:

y = Acos(Bx)

This gives

y = 5cos(2π/3 x)

Hence, the **function **that models the **horizontal displacement **as a function of time in seconds is y = 5cos(2π/3 x)

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solve simulteneusly equation 6p-4r=4 and p-2r=5

### Answers

**Answer:**

r = - 3.25, p = -1.5

**Step-by-step explanation:**

→ Rearrange p - 2r = 5

p = 5 + 2r

→ Substitute into 6p - 4r = 4

6 ( 5 + 2r ) - 4r = 4

→ Expand

30 + 12r - 4r = 4

→ Simplify and solve

r = - 3.25

→ Substitute into p - 2r = 5

p + 6.5 = 5

→ Minus 6.5 from both sides

p = -1.5

The quotient of 7 more than three times a number m and the number 27 less than n

### Answers

An **expression** is defined as a set of **numbers**, variables, and **mathematical **operations. The given **statement **can be modeled as** (3m+7)/27 < n.**

What is an Expression?

In mathematics, an **expression** is defined as a set of **numbers**, variables, and **mathematical **operations formed **according **to rules **dependent **on the context.

The given **statement **"The quotient of 7 more than three times a number m and the number 27 less than n" can be **modeled **as an **algebraic expression **as shown below.

(3m+7)/27 < n

Hence, the given **statement **can be modeled as** (3m+7)/27 < n.**

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identify the slope and y-intercept of the function y=5x-10

### Answers

**Answer:**

slope = 5 , y- intercept = - 10

**Step-by-step explanation:**

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 10 ← is in slope- intercept form

with slope m = 5 and y- intercept c = - 10

The slope and** y intercept **of the function y = 5x - 10 is 5 and -10 respectively.

What is Slope?

Slope of a line is the ratio of the change in **y coordinates** to the change in the x coordinates of two points given.

Equation of a **line **in slope intercept form is,

y = mx + b,

where m is the slope of the line and b is the **y intercept**,

y intercept is the y coordinate of the point where it touches the **Y axis**.

Given equation is y = 5x - 10.

Comparing with **slope intercept form**,

m = 5 and b = -10

Hence the slope of the line is 5 and y intercept is -10.

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Samuel and 4 of his friends entered a chili cook-off. The rules allowed them

to spend a certain amount on supplies. If each person spent $15 for

supplies, how much did they spend in all?

### Answers

Each of the 4 friends spent 15 dollars so all you need to do is multiply 4 by 15. 4x15=60

**Answer:**

**$75**

**[It is easy to say $60, but don't forget to add Samuel to the total]**

**Step-by-step explanation:**

There are **5** people in total:

1 Samuel

4 friends

**5** people who can spend up to $15 each.

**(5 people)*($15/person) = $75 total spent on supplies**

At a gymnastics meet, twenty gymnasts compete for first, second, and third place.

How many ways can first, second, and third place be assigned

### Answers

There **6840 ways **can **first**, **second**, and **third **place be assigned.

What is Permutation?

A **permutation **is a **mathematical** technique that **determines **the **number **of **possible arrangements **in a set when the **order **of the arrangements matters.

We will use the **concept **of **permutation**

[tex]^{20}P_3[/tex]= 20!/ (20-3)!

= 20*19*18*17!/ 17!

** = 6840 ways.**

Hence, **there **are **6840 ways**.

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If R = {(x, y): y = x = 2, 4, 6}, find the range of R. , 4 , 6 } , find the range of R.

### Answers

4,6 is the answer cause um a smart

Find the value of x

Find the value of y

### Answers

**Answer:**

x = 9

y = 61

**Step-by-step explanation:**

let me know if you want an explanation!

Solve the following inequality |x| < 13

### Answers

**Answer:**

x < 13 and x > -13

**Step-by-step explanation:**

Split the absolute value equation into 2 equations to account for the positive and negative answers possible with absolute values.

Write the positive value first by removing the absolute value symbol.

x < 13

Flip the inequality and make the 13 negative for the other side.

x > -13

A triangular prism and two nets are shown:

A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 18 inches. Net A has 3 rectangles having dimensions 5 by 18, 18 by 12, and 18 by 13, and two triangles having legs 12 inches and 5 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 18, and two triangles having legs 5 inches and 12 inches.

Which is the correct net of the prism and what is the surface area of the prism?

### Answers

The **surface area **of the **triangular prism **is **480 square inches **and **net A is the correct **net of the prism

What is a triangular prism?

When a **triangle **is, stretch it **out **to **produce **a stack of **triangles**, one on top of the other. A **triangular prism **is a name given to this **novel 3D object**.

**The question is incomplete.**

**The complete question is in the picture, please refer to the attached picture.**

We have given a triangular prism with its net.

After analyzing the correct net will be net A because the inner rectangle length should be 14 in not 13 in.

**The surface area of the triangular prism:**

[tex]= 2[\dfrac{1}{2}(5\times12)]+ 5\times 14+ 12 \times 14+ 13\times 14[/tex]

After solving:

**The surface area = 480 square inches. **

Thus, the **surface area **of the **triangular prism **is **480 square inches **and **net A is the correct **net of the prism

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Which of the following best describes the slope of the line below?

### Answers

A. Negative is correct

What is the length of the missing side of this triangle?

A

2

B

10

C

50

D

100

top side is 26 bottom side is 24 left side is whats missing

### Answers

**Answer:**

B

**Step-by-step explanation:**

pythagorus theorem

a² + b² = c²

c² - b² = a²

26² - 24² = a²

676 - 576 = a²

a² = 100

a = 10

What is the value of x

Enter your answer in the box

X= _ degrees

### Answers

**Answer:**

x = 55 degrees

**Step-by-step explanation:**

The sum of the internal angles of a triangle results in 180°

x + 50° + 75° = 180°

x + 125° =180°

x = 180° - 125°

x = 55°