Mathematics High School

## Answers

**Answer 1**

The **graph **that represents the **inequality **is graph b

Graph of inequalities

From the question, we are to **graph **the given **inequality **

The given **inequality** is

y ≥ |x+5|-3

To graph the inequality, we will write the inequality as an **equation **and we will find some of the **points **on the line

When x = 0

y = |x+5|-3

y = |0+5|-3

y = |-3

When y = 0

y = |x+5|-3

0 = |x+5|-3

0 = (x + 5) - 3 and 0 = -(x + 5) -3

3 = x + 5

x = 3- 5

x = -2

and

0 = -(x + 5) -3

x + 5 = -3

x = -3 - 5

x = -8

The graphs that has the points above are graphs b and d.

Since the inequality sign is ≥ when y is the subject, the **solution **to the inequality is **above **the lines.

Hence, the **graph **of the **inequality **is graph b.

The **graph **of the **inequality **is shown below

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## Related Questions

Which of the following fractions is not equivalent to

### Answers

**Answer:**

The third option is right

**Step-by-step explanation:**

This is because if you have two negative it becomes a positive

PLEASE HELP !! 30 POINTS

### Answers

**Answer:**

A = 11

B = 8

**Step-by-step explanation:**

The function is 2[tex]2x^2 + x + 5[/tex]

To determine y=A and y=B simply substitute the value of x corresponding to that y-value

A is at x = -2

At x = -2,

[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]

= [tex]2\cdot \:4+\left(-2\right)+5[/tex]

[tex]= 8 - 2 + 5[/tex]

[tex]= 11[/tex]

So [tex]\boxed{A = 11}[/tex]

For B, note that x = 1

So y-value for x = 1 is

[tex]y = 2\cdot \:1^2+\:1+5[/tex]

[tex]=2\cdot \:1+1+5[/tex]

[tex]=2+1+5[/tex]

[tex]=8[/tex]

So [tex]\boxed{B=8}[/tex]

-10+l 6+-17l - - 14 show how you got the answer

### Answers

The **solution **to the **expression **-10 + |6 + -17| -- 14 is 15

How to evaluate the expression?

The **expression **is given as:

-10+l 6+-17l - - 14

Rewrite properly as

-10 + |6 + -17| -- 14

Evaluate the sum and the difference

So, we have:

-10 + |6 + -17| -- 14 = -10 + |-11| + 14

Remove the **absolute bracket**

-10 + |6 + -17| -- 14 = -10 + 11 + 14

Evaluate the sum

-10 + |6 + -17| -- 14 = 15

Hence, the **solution **to the **expression **-10 + |6 + -17| -- 14 is 15

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What transformation would take triangle ABD to A’B’D ( translation, reflection , or rotation ) ?

### Answers

Answer: Rotation

Step-by-step explanation:

A scientist has 20 grams of the radioactive isotope sodium-24. The isotope decays exponentially as shown in the table.

Time (hours)

Mass (grams)

5

15.9

10

12.6

15

10

20

7.9

25

6.3

30

5

Approximately what will the mass of the isotope be after 45 hours?

A 1.5 grams

B. 2.5 grams

C. 3.5 grams

D. 4.5 grams

### Answers

The mass of the isotope after 45 hours is 2.5 grams.

Given, from the** table** we can find that when time is 10 hours,

the mass is 12.6 grams;

when time is **25 hours** the mass is 6.3 grams .

And 12.6 × 1/2 = 6.3

Also we can find when time is 15 hours the mass is **10 grams,**

when time is 30 hours, the** mass is 5 grams **as:

10 × 1/2 = 5

so we know that **half life** period is:

25 - 10 = 30 - 15 = 15 hours.

When time is **45 hours,**

45 = 15+115

= 3** half life** periods, so the **mass** is :

20 × 1/2 × 1/2 × 1/2

= 2.5 grams.

Hence the** mass **of the isotope after 45 hours is **2.5 grams.**

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What is 4/7-(-3/8) ?

### Answers

**_____________________**

**Solution:**

Exact Form:

[tex]\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}[/tex]

______________________

**(^Note^)**

To **subtract fractions**, find the **LCD (Least Common Denominator)**, then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

**Answer: 53/56**

**Step-by-step explanation:**

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

What will be the value of f(k)?

4x² - 6x +7

### Answers

**Answer: **f(k)=4k² - 6k +7

**Step-by-step explanation:**

f(x)=4x² - 6x +7

**f(k)=4k² - 6k +7**

WILL MARK BRAINLIEST HURRY PLSSSS

### Answers

Answer:

2.667

Step-by-step explanation:

the thousandths place is the third place after the decimal point, going

0.123

1 is the tenths

2 is the hundredths

3 is the thousands

all you have to do is divide 4 by 15 to get 2.66666667

rounded to the thousands the answer is about 2.667

if there are 15 cubs and 4 lionesses, what is the ratio of cubs to lionesses?

### Answers

**Answer:**

15 : 4

**Step-by-step explanation:**

Given that,

→ 4 lionesses

→ 15 cubs

Then the ratio of cubs to lionesses,

→ x = No. of cubs : No. of lionesses

→ [ x = 15 : 4 ]

Hence, the ratio is 15 : 4.

The workers at Antonio's pizza shop can make 18 pizzas for every hour. They have already made 40 pizzas. Write a function rule that can be used to determine the number of pizzas at Antonio's pizza shop f(p) at p hours.

### Answers

**Answer:**

f(p) = 18p + 40

**Step-by-step explanation:**

Since they can make 18 pizzas per hour, number of pizzas made in p hours = 18p

They already have 40 pizzas

So total number of pizzas at any time p is f(p) = 18p + 40

( 3 x 5 + y 2 ) 2 (3x 5 +y 2 ) 2

### Answers

The value of the **expression **(3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4

How to evaluate the expression?

The **expression** is given as:

(3x^5 + y^2)^2

Expand the **expression**

So, we have

(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)

Expand the bracket

(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4

Evaluate the sum

(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4

Hence, the value of the **expression **(3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4

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Flying to Houston with a tailwind a plane averaged 107 mph. On the return trip the plane only averaged 85 mph while flying back into the same wind. Find the speed of the plane in still air and the speed of the wind

### Answers

The **wind speed and plane speed **is 11 and 96 mph.

It is required to** find **the speed of the plane in still air and the speed of the wind.

What is arithmetic?

**Arithmetic **is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are **addition, subtraction, multiplication and division**. These operations are denoted by the given symbols.

Given:

Let plane speed be "p".

Let wind speed be "w".

According to given question we have,

p + w = 107 mph

p - w = 85 mph

By the method of elimination we get,

2p = 192

p = 96 mph

The plane speed is 96 mph.

Solve for "w":

p + w = 107

96 + w = 107

w = 11 mph

The wind speed is 11 mph.

Therefore, the **wind speed and plane speed **is 11 and 96 mph.

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A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their weights? be sure to include the appropriate units with the result.

### Answers

The **variance** of their** weights **is 128.87270 kg².

It is required to** find **the **variance** of their weights.

What is standard deviation ?

A **standard deviation** (or σ) is a measure of how dispersed the data is in relation to the mean. **Low standard deviation** means data are clustered around the mean, and** high standard deviation** indicates data are more spread out.

Given:

Let n=sample size=10 subjects

Standard deviation=11.352211.3522 kg

Using this formula

**Variance=(Standard deviation)²**

By the formula we get,

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Therefore, the **variance** of their** weights **is 128.87270 kg².

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30 POINTS

Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance. Absolute value 3 ft. 10 ft/s for 30 ft

### Answers

**Answer:**

**Step-by-step explanation:**

12

4. (03.01)

Is the following relation a function? (1 point)

Yes

No

### Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

No, The given relation isn't a function.

[ For a relation to be a function, every value that lies in the domain ( set A ) should have only one corresponding value in its Range ( set B ) but here, -1 has two corresponding values that are : (-1) and (2) ]

Therefore, conclusion can be made that the given relation isn't a function.

**Answer:**

Not a function.

**Step-by-step explanation:**

Functions

A **function **is a special type of relation where **each input** (x-value) has a **single output** (y-value).

**One-to-one**: Each value in the range (y-values) corresponds to exactly one value in the domain (x-values).**Many-to-one**: Some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

The given function is not a function as the input value of x = -1 has multiple output values of y = 2 and y = -1.

the perimeter of a rectangle is 260cm the length is 50 less than its width. find its dimensions

### Answers

The **dimensions** of the** rectangle** is found as: (b = 90 cm) and (l = 40 cm

).

What is defined as the perimeter of the rectangle?The **perimeter (P) **of such a rectangle has been the total length of all of its sides. A rectangle does have two equal **lengths** as well as two equal widths because its opposite sides are equal. The perimeter of a rectangle is calculated as follows: perimeter = length + length + width + width

Let 'l' be the length of the rectangle.

Let 'b' be the width of the** rectangle.**

then,

Perimeter = 2(l + b)

The given value of the perimeter = 260 cm.

The length is 50 less than the **width.**

Thus, l = b - 50.

Put the values in the formula;

260 = 2( b - 50 + b)

Simplify the equation;

260 = 4b - 100

4b = 360

b = 90 cm

Put the value of b in the length;

l = b - 50

l = 90 - 50

l = 40 cm

The dimension are estimated as; (l = 40 cm) and (b = 90 cm).

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Help please I cant find my answer

### Answers

**Answer:**

see explanation

**Step-by-step explanation:**

1

4(5 + 3n) - 7 ← distribute parenthesis by 4

= 20 + 12n - 7 ← collect like terms

= 12n + 13

2

6 - (10n + 8) ← distribute parenthesis by - 1

= 6 - 10n - 8 ← collect like terms

= - 10n - 2

combining (adding) the 2 expressions

12n + 13 - 10n - 2 ← collect like terms

= 2n + 11

which value is an irrational number? a. 4/19 b. the square root of 200 c. the square root of seven over the square root of seven d. -0.58 repeated

### Answers

**Answer:**

B. √200

**Step-by-step explanation:**

An irrational number is a number that excludes single-point decimals but includes integers and fractions. A square root is a repeating decimal(Most of the time), therefore, this is an irrational number.

Which of the following are solutions to the equation below?

Check all that apply.

(4x-1)² = 11

A. x = -√12/4

B. x=-√11+1/4

C. x=√11+1/4

D. x=-√11+1/4

E. x=√12/4

F. x=√11+1/4

### Answers

**Answer:**

A.

B.✅

C.✅

D.✅

E.

F.✅

**Step-by-step explanation:**

[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]

PLEASE CAN SOMEONE HELP ME I"M STUCK PLEASE I WOULD REALLY APPRECIATE!!

### Answers

**Answer:**

**Step-by-step explanation:**

subsitute x with value given in bracket

a) f(1) = (1)² + 1 = 2

b) f(-3) = (-3)² + 1 = 10

c) f(b³) = (b³)² + 1 = b^6 + 1

d) f(x-1) = (x-1) +1 = x

Find the equation of the tangent line to the curve y = (8 ln(x))/x at the points (1, 0) and (e, 8/e).

### Answers

The** equation of the tangent line** to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].

It is required to** find** the solution.

What is a tangent ?

A **tangent** is a line that touches the edge of a curve or circle at one point, but does not cross it. The **tangent line** to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

**Given:**

[tex]y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }[/tex]

Now, we **find **the **slope **of the** tangent** by inserting the point **(1,0) **into the derivative.

[tex]m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1[/tex]

We can now find the equation, because we know the slope and a point **(1, 0).**

[tex]y-y_{1} =m(x-x_{1} )\\[/tex]

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point **(e, 8/e).**

[tex]y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}[/tex]

Therefore, the** equation of the tangent line** to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].

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Select the graph of the solution. Click until the correct graph appears.

|x| = 1

### Answers

**Answer:**

It's the graph with two dots and no area marked, first image (for me).

**Step-by-step explanation:**

|x| = 1 means "the distance from x to the 0 point on the axis is exactly 1". There's only 2 numbers x that satisfy that condition: -1 and 1

The second and third image both show an area marked, so it cannot be the right answer, while the first image shows precisely two numbers: -1 and 1

Pls help asap!! due in a hour:( thanks in advance

### Answers

**Answer: **8oz of the 20% and 12oz of the 70%

**Step-by-step explanation:**

(20*x) + (70*(20-x)) / 20 = 50

(20x +1400-70x) / 20 =50

20x +1400-70x = 1000

50x=400

x=8

20-8=12

A company is making building blocks. Each building block is a cube and has volume 64/ 125 cubed . How long is each side of the building blocks?

### Answers

The length (in feet) of each side of the **cube** block is 1(one) ft.

What is a **cube**?

A **cube** is a three-dimensional solid object in the figure that's girdled by six square faces, angles, or sides, three of which meet at each vertex.One of the five Platonic solids, the **cube** is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges. The **cube** is also a right rhombohedron, a 3- zonohedron, a square parallelepiped, and an equilateral cuboid. In three exposures, it's a normal square prism, and in four, it's a trigonal trapezohedron.

Volume of **cube** is given by,

V = [tex]L^3\ (length^3)[/tex]

[tex](1 ft)^3 = L^3[/tex]

L = 1ft.

Thus,

The length(in feet) of each side of the block is 1(one) ft.

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The graph shows the relationship between miles and kilometres.

a)

Convert 20 miles

to km.

b)

Convert 64 km

to miles.

### Answers

By **cross multiplication**, we have found the following results:

**a) **20 miles are equal to 32.180 kilometers.

**b) **64 kilometers are equal to 39.776 miles.

How to convert a distance value into another distance unit

In this problem we must convert a given value in a unit into its equivalent **quantity** in another unit of same kind. We must convert **miles** to **kilometers** and viceversa by using **conversion rates** and **cross multiplication**.

First, we must convert a **distance** of 20 miles to kilometers by **cross multiplication**:

x = 20 mi × (1.609 km / 1 mi)

x = 32.180 km

Second, we must convert a **distance** of 64 kilometers to miles by **cross multiplication**:

x = 64 km × (1 mi / 1.609 km)

x = 39.776 mi

Remark

The graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.

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**Answer:**

here is the answer**⬇️**

A right triangle has side lengths 8, 15, and 17 as shown below.

Use these lengths to find sin.X, tanX, and cos.X.

### Answers

**Answer:**

please demonstrate how tha triangle looks like

WILL CHOOSE BRAINLIEST Use the slope to determine if lines PQ and RS are parallel, perpendicular, or neither.

### Answers

**Slope** of **line** PQ = -3

**Slope** of **line** RS = 3

They are neither **parallel** nor **perpendicular**.

What is the Slope of Parallel and Perpendicular Lines?

If two l**ines** are **parallel** to each other, they would have the same **slope** value.

If two **line** are **perpendicular**, the **slope value** of one would be the **negative reciprocal** of the other.

**Slope** = change in y / change in x.

**Slope** of **line** PQ = (-1 - 14) / (2 - (-3))

**Slope** of **line** PQ = -15/5 = -3

**Slope** of **line** PQ = -3

**Slope** of **line** RS = (-10 - 8) / (-2 - 4)

**Slope** of **line** RS = -18/-6

**Slope** of **line** RS = 3

The **slopes **of both lines are different, and are not **negative reciprocals** of each other, therefore, they are neither **parallel** nor **perpendicular**.

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1.) Raisins and nuts were mixed in a

bowl. If 34 of the mixture was

made up of nuts, what was the

ratio of raisins to nuts?

### Answers

**Answer:**

8−5=3

**Step-by-step explanation:**

1. Simplify. Show all steps for full credit. Circle your final answer. (4 points).

(4+1)^3/ 2+4^2-13

### Answers

**Answer: **25

**Step-by-step explanation:**

(4+1)^3/ 2+4^2-13=

5^3/(2+16-13) =

125/(18-13)=

125/5=**25**

find the difference 78,003-32,136

### Answers

**Answer:**

=45867

**Step-by-step explanation:**

[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&7&9&9&13\\ \:\:&\textbf{7}&\linethrough{8}&\linethrough{10}&\linethrough{10}&\linethrough{3}\\ -&\textbf{3}&2&1&3&6\end{matrix}}{\begin{matrix}\:\:&\textbf{4}&5&8&6&7\end{matrix}}[/tex]