Find the slope of every line that is parallel to line on the graph (0,-3) (5,-4)

If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.

The given functions are f(x)=-3x-5 and g(x)=4x-2.

We need to find the value of (f-g)(x)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)

= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)

= -7x-3

Therefore, the value of  (f-g) (x) is -7x-3.

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Answer:

The ordered pair which makes both the inequalities true is = (–2, 2)

Step-by-step explanation:

inequalities are the relationships between two expressions which are not equal to one another.

Inequalities are represented by the following relations:

an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

so, the option B(-2,2) satisfies  the inequalities expressions given in the question

therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.

so the correct answer is (-2,2)

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Answer:

35 + 3x

Step-by-step explanation:

we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$

we add that to the 35$ of the shoes and get:

35+3x

The value of the composite function (h•f)(0) is -2/3

The functions are given as:

f(z)=(1/3)

h(z) = z+4/z-2

Start by calculating f(0) and h(0)

f(0) = 1/3

h(0) = (0+4)/(0-2)

h(0) = -2

The composite function is then calculated as:

(h•f)(0) = h(0) * f(0)

This gives

(h•f)(0) = -2 * 1/3

Evaluate

(h•f)(0) = -2/3

Hence, the value of the composite function (h•f)(0) is -2/3

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The quotient of the synthetic division problem is "f(x) = -2x² + 9x + 5" (Option C).

When a polynomial division is executed using the shorthand method, using a linear factor, one is  said to have executed a Synthetic Division.

The synthetic division translates to

- 2 15 -22 -15

3 | -6 27 15

-2 9 5 0

Citing the coefficient of the quotient of the first three numbers:

- 2, 9, 5. The last number is given as the remainder.

Hence the remainder is zero.

Given that the coefficient of the quotient are three, the interpretation is that the polynomial greatest degree is 2.

Thus,

f(x) = -2x² + 9x + 5

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Answer: A. h(x) = 1/4x - 2

Step-by-step explanation:

f(x) = 4x + 8

find the inverse...

A.

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

[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]

[tex]f(x)=x-8+8[/tex]

[tex]f(x)=x[/tex]  

[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]

[tex]h(x)=x+2-2[/tex]

[tex]h(x)=x[/tex]

Since they both come out to 'x', they are inverses of each other.

f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses

The coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

Image of R(-4, 3) after a reflection in the line y = x

The rule for the reflection over y = x is:

(x, y) = (y, x)

(-4, 3) = (3, -4)

Thus, the coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

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Answer: I hope this helps you in what you're doing.

Step-by-step explanation: Because multiplying two rational numbers results in the ratio of two integers, which is also a rational number, the product of two rational numbers is also a rational number.

Answer:

k = 4

Explanation:

[tex]\sf 10^{k-2}=100[/tex]

make bases similar

[tex]\sf 10^{k-2}=10^2[/tex]

cancel out the bases

[tex]\sf k-2=2[/tex]

add '2' on both sides

[tex]\sf k-2+2=2+ 2[/tex]

simplify the following

[tex]\sf k =4[/tex]

Answer:

3.5 and 3½

Step-by-step explanation:

Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.

Answer:

Option C:

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

Now that we solved for x, we can plug it back into each equation to solve for each angle.

The answer is Option C:

Answer:

Using the concepts of Number System, we find that the sum of the largest and the smallest of the given four numbers is 4.29.

Step-by-step explanation:

The given set of numbers is 3.09, 3.9, 0.39 and 0.399.

The given numbers are related to each other as:

3.9 > 3.09 > 0.399 > 0.39

3.9 is greater than 3.09 as

3.9 > 3.09

3 + 0.9 > 3 + 0.09

0.9 > 0.09

90 > 9

0.399 is greater than 0.39 as

0.399 > 0.39

399 > 390

Now, the smallest number in the series is 0.39 and the largest number in the series is 3.9.

The sum of the largest and the smallest of the given four numbers is:

3.9 + 0.39

4.29

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Answer:

[tex] \frac{p}{38} [/tex]

The required quotient of a number p and 38 is 38/p, as of the given condition

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
In the quesiton, we have to determine the quotient of a number p and 38.
So, divide 38 by p to determine the quotient.

= 38/p

Thus, the required quotient of a number p and 38 is 38/p.

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Answer:

C and F

Step-by-step explanation:

2×2+6×2=16

×=2

C ) 2×2+6×2+9=25 ×=2

F) (2+3)2=25 ×=2

Answer:

25%

Step-by-step explanation:

when we count, we know that there are 8 possible outcomes as to where the spinner will land.

{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}

We know that two of these 8 possibilities are "A"

This means that A has a 2/8 chance of being landed on

we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions

to calculate percentage, we can follow through with our equation of 1/4

[divide 1 by 4]

1 / 4 = 0.25

We multiply this number by 100 to find percentage,

0.25 × 100 = 25

meaning that A has a 25% chance of being spun

hope this helps!! have a lovely day :)

Answer:

25%

Step-by-step explanation:

2 / 8 = 0.25

0.25 = 25%

Answer:

k= -4/3

Step-by-step explanation:

(x+4) is a factor of this trinomial given , Option A is the right answer.

A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.

The given trinomial is

x² +12x+32

x² + 8x +4x +32

x(x+8)+4 (x+8)

(x+8)(x+4)

From the given option Option A (x+4) is the right answer.

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Answer:

principal = $400

Step-by-step explanation:

amount(a)=principal(p) + interest(y).........(1)

Interest(y)=principal(p) x rate(r) x time(t)....(2)

In (1), p= a - y...........(3)

putting (3) in (2),

y = (a - y) x r% x t

y = (432 - y) x 8% x 1

y = 3456%-8y%

y + 0.08y = 3456%

1.08y = 34.56

y = 32

but a - y = p

432 - 32 = p

p = 400

principal = $400

The linear equation will be 6x + y = 180 and 3x = y. Then the value of the variable x and y will be 20° and 60°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

3x° + 3x° + y° = 180°  (Supplementary angle)

6x° + y° = 180° .....1

3x° = y° .....2   (Vertically opposite angle)

By solving equations 1 and 2, we have

x° = 20° and y° = 60°

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Answer:

Exact Form:

x=3/8e^2

Decimal Form:

x=0.05075073…

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

Step-by-step explanation:

**Please note that the expression quoted in the question is likely incorrect (see attachment)**

Assuming the expression is:

[tex]\sqrt[3]{64a^6b^7c^9}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}{ \cdot \sqrt{b}[/tex]

[tex]\implies \sqrt[3]{64} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

Rewrite 64 as 4³:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \sf to\:\:b^7[/tex]

[tex]\implies b^7=b^{6+1}=b^6b^1=b^6b[/tex]

Therefore:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}}\cdot \sqrt[3]{b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]

[tex]\implies 4^{\frac{3}{3}} \cdot a^{\frac{6}{3}} \cdot b^{\frac{6}{3}} \cdot \sqrt[3]{b} \cdot c^{\frac{9}{3}}[/tex]

Simplify:

[tex]\implies 4^1 \cdot a^2 \cdot b^2 \cdot \sqrt[3]{b} \cdot c^3[/tex]

[tex]\implies 4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

The expression is seemed to have none of the above solutions

Answer:

A) 37, 34, 22, 28, 19, 25

E) 55, 43, 49, 61, 58, 54

Step-by-step explanation:

The range of a set of data is the largest number minus the smallest number

A) 37, 34, 22, 28, 19, 25

37 - 19 =18

Range is 18

B) 34, 22, 18, 19, 31, 33

34 - 18 =16

Range is 16

C) 95, 79, 83, 88, 81, 99

95 - 81 =14

Range is 14

D) 17, 26, 17, 18, 26, 31

31-17 =14

Range is 14

E) 55, 43, 49, 61, 58, 54

61 - 43 =18

Range is 18

Step-by-step explanation:

4a.

the circumference of a circle is

2×pi×r

we know, r = 6 cm.

so the whole circumference is

2×pi×6 = 12×pi = 37.69911184... cm

4b.

the arc BC is the part of the full circumference that corresponds to 120° out of the 360° of a full circle.

the arc BC is then

12×pi × 120/360 = 12×p × 1/3 = 4×pi = 12.56637061... cm

the perimeter of the shaded area (pie slice) is the arc BC plus 2 radius lengths (from the arc points to the center of the circle)

12.56637061... + 2×6 = 12.56637061... + 12 =

= 24.56637061... cm

4c.

the area of a circle is

pi×r²

in our case

pi×6² = 36pi = 113.0973355... cm²

the area of the shaded area (pie slice) is the 120° part of the full 360° circle area :

36pi × 120/360 = 36pi × 1/3 = 12pi = 37.69911184... cm²

Answer:

The answer is option 3 and option 4

Step-by-step explanation:

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

Answer:

none of them match

Step-by-step explanation:

maybe something is typed wrong. the answer I got for the equation was 108 and none of them match

Answer:

Sweater: 392 [tex]\frac{6}{7}[/tex]

Hat: 78[tex]\frac{4}{7}[/tex]

Scarf: 83[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Set the sweater = x

The hat = [tex]\frac{1}{5}[/tex] x

The scarf = [tex]\frac{1}{5}[/tex] x + 5

x + [tex]\frac{1}{5}[/tex] x + [tex]\frac{1}{5}[/tex] x + 5 = 555

Combine like terms

1[tex]\frac{2}{5}[/tex] x + 5 = 555

Subtract 5 from both sides

1[tex]\frac{2}{5}[/tex] x = 550

Divide by 1[tex]\frac{2}{5}[/tex]

x = 392 [tex]\frac{6}{7}[/tex] This is how much wool was used for the sweater.

Divide by 5 to get the hat = 78 [tex]\frac{4}{7}[/tex]

Add 5 to that to get the scarf: 83[tex]\frac{4}{7}[/tex]

Answer:

slope is 7 and point on line is (1, 4 )

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

given line A has equation in point- slope form of

y - 4 = 7(x - 1) , then

slope of line is 7 and a point on the line is (1, 4 )

Answer:

Where did the writer go in holiday

The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8

The situation forms a right angle triangle.

The angle R can be found as follows:

using trigonometric ratios,

sin R = opposite / hypotenuse

Therefore,

opposite sides = 6

hypotenuse = 8

sin R = 6 / 8

R = sin⁻¹ 6 / 8

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