Determine the x-intercept for 3x + 2y = 14. A) (7, 0) B) (0, 7) C) ( 14 3 , 0) D) (0, 14 3 )

Answer:

153.94 square inches

Step-by-step explanation:

A = Pi(r)^2

A = Pi(7)^2

A = Pi(49)

A = 153.93804

Answer: 153.938 [tex]in^{2}[/tex]

Step-by-step explanation:

π = 3.14 and d = diameter

* Hopefully this helps:) Mark me the brainliest:)

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Three times two equals six

Another factor of 6, besides 6 and 1, is 3. Factors are numbers that divide into another number without leaving any remainder. Both 2 and 3 are factors of 6 since 2 multiplied by 3 equals 6.

Besides 6 and 1, another factor of 6 is 3.

Factors are whole numbers that divide evenly into another number. For the number 6, the factors are 1, 2, 3, and 6. The process of factoring involves finding all numbers that you can multiply together to get the number in question. In this case, 2 multiplied by 3 equals 6.

We can also verify this by noting that dividing 6 by 3 gives us 2 with no remainder, confirming that 3 is indeed a factor of 6.

Answer:

See picture attached.

Step-by-step explanation:

To find the solution, graph each equation using the y = mx + b form.

Start by converting to this form.

x + 2y < 4 becomes y < -1/2x +2

3x - y > 2 becomes y < 3x - 2

Then mark each y-intercept. These points are (0,2) and (0,-2).

Using the slope mark the next points at (-1,4) and (1, -1) respectively.

Connect using dash lines since this is not equal to in either inequality.

Test a point no on either line like (-1,-1).

If the inequality holds true, shade the area.

Where the areas overlap is the solution. See picture.

Inequalities are used to represent unequal expressions.

The solution to the inequality is [tex]x \le \frac 87[/tex] and [tex]y < \frac{10}7[/tex]

The inequalities are given as:

[tex]x + 2y \le 4[/tex]

[tex]3x - y > 2[/tex]

Express both inequalities as equations'

[tex]x + 2y = 4[/tex]

[tex]3x -y = 2[/tex]

Make y the subject in [tex]3x -y = 2[/tex]

[tex]y = 3x - 2[/tex]

Substitute [tex]y = 3x - 2[/tex] in [tex]x + 2y \le 4[/tex]

[tex]x + 2(3x - 2) \le 4[/tex]

Open brackets

[tex]x + 6x - 4 \le 4[/tex]

[tex]7x - 4 \le 4[/tex]

Collect like terms

[tex]7x \le 4+4[/tex]

[tex]7x \le 8[/tex]

Divide both sides by 7

[tex]x \le \frac 87[/tex]

Substitute 8/7 for x in [tex]3x - y > 2[/tex]

[tex]3 \times \frac 87 - y > 2[/tex]

[tex]\frac{24}7 - y > 2[/tex]

Collect like terms

[tex]- y > 2 -\frac{24}7[/tex]

Take LCM

[tex]- y > \frac{14 -24}7[/tex]

[tex]- y > \frac{-10}7[/tex]

Divide both sides by -1

[tex]y < \frac{10}7[/tex]

Read more about inequalities at:

https://brainly.com/question/15137133

Answer: [tex]g(x)=\frac{1}{9}x^2[/tex]

Step-by-step explanation:

By definition, he quadratic parent function [tex]f(x)=x^2[/tex] is the simplest form of a quadratic function.

By definition, if the fucntion is multiplied by the factor b and:

 |b|>0  the function is stretched.

If 0<|b|<1 the function is compressed.

Then the new function will have the form:

[tex]g(x)=(\frac{1}{b}x)^2[/tex]

Therefore, keeping the above on mind, if b=3, then the new function is:

[tex]g(x)=(\frac{1}{3}x)^2[/tex]

[tex]g(x)=\frac{1}{9}x^2[/tex]

Answer: g(x)=(1/3(x))^2

Step-by-step explanation:

Answer:

x =  ±sqrt(19)

Step-by-step explanation:

x^2-8=11

Add 8 to each side

x^2-8+8=11+8

x^2 = 19

Take the square root of each side

sqrt (x^2) = ±sqrt(19)

x =  ±sqrt(19)

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

[tex]Z=\frac{x-mean}{standard deviation}[/tex]

For the case given, the z score will be;

[tex]Z=\frac{34-16}{6}=3[/tex]

Answer:

The answer to this is B, because supplementary angles sum up to 180 degrees, which means it is a straight angle.

Answer:

Option B and D

Step-by-step explanation:

Given are four options and we have to select the one which form a straight angle.

The given options are

A. Vertical Angles  ... Vertical angles are formed when two lines intersect and hence cannot combine to form a straight angle.  Incorrect option.

B. Supplementary Angles ... Supplementary angles are a pair of angles which add upto 180 degrees and hence they form a straight angle. Correct option

C. Complementary Angles  ... These pair add up to 90 degrees and cannot combine to form a straight angle.  ..  Incorrect

D. Linear Pair ... A linear pair is a pair of angles formed on a straight line and hence correct option.

Answer:

I think it's A

Step-by-step explanation:

The reason is because the circle is pi r ^2 but the wedge is some kind of fraction of a circle with degree 1, like area times circumference. The question should say, which of the following is the most probable formula for SA.

Answer:

[tex]\large\boxed{C.\ S.A.=\pi r^2+\pi rl}[/tex]

Step-by-step explanation:

It's a net of a cone.

The formula of a surface area of a cone:

[tex]S.A.=\pi r^2+\pi rl[/tex]

Answer:

it would be 5 tables

Step-by-step explanation:

1:6

2:10

3:14

4:18

5:22

just count by 4

Answer:

The answer would be...

Step-by-step explanation:

50 square root of 3 ft

Answer:

The answer is C.50 StartRoot 3 EndRoot ft

Step-by-step explanation:

Answer:

B) 44

Step-by-step explanation:

Let's start with the triangles. Normally, when dealing with triangles, you would use the formula (B*H*1/2), but since there's two identical triangles, we can just do (B*H) and get the area for both:

2.5*5.5=13.75

Then to solve for the square, it is also (B*H):

5.5*5.5=30.25

At this point, to solve for the total area, you just add the areas together:

13.75+30.25=44

Hope this helps!

Answer: B. 44

Step-by-step explanation: The area of a rhombus is base times height. The height is 5.5 cm, and the base is 8 cm. To find the base, add 2.5 and 5.5.

8 x 5.5 = 44

The area is 44 cm^2

Answer:

Step-by-step explanation:

[tex]3w+8-w=4w-2(w-4)\qquad\text{use the distributive property}\\\\2w+8=4w-2w+8\\\\2w+8=2w+8\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\8=8\qquad\bold{TRUE}[/tex]

[tex]-3y+3=-3y-6\qquad\text{add}\ 3y\ \text{to both sides}\\\\3=-6\qquad\bold{FALSE}\\\\9-(2v+3)=-2v-6\\\\9-2v-3=-2v-6\qquad\text{add}\ 2v\ \text{to both sides}\\\\6=-6\qquad\bold{FALSE}\\\\7m-5=8m+7-m\\\\7m-5=7m+7\qquad\text{subtract}\ 7m\ \text{from both sides}\\\\-5=7\qquad\bold{FALSE}[/tex]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is 6 and -6.

Since absolute value is to figure the distance from 0, it is regardless of positive or negative.  

6, -6 are the only numbers.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

Step-by-step explanation:

x - 5 = 7

⇒ x = 7 + 5 = 12

To solve for x, add 5 to both sides of the equation and then determine the absolute value of x.

To solve for x in the equation |x| – 5 = 7, we need to isolate x on the left side of the equation. To do this, we can add 5 to both sides:

|x| – 5 + 5 = 7 + 5

|x| = 12

Now, we have an absolute value equation. The absolute value of a number is its distance from zero. Therefore, we have two possible solutions: x = 12 or x = -12.

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[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta =45 \end{cases}\implies s=\cfrac{(45)\pi (6)}{180}\implies s=\cfrac{3\pi }{2}\implies s\approx 4.7[/tex]

Answer: (x + 1)(x + 5)

Step-by-step explanation:

Need to find two numbers whose product is the c-value (5) and whose sum is the b-value (6).

x² + 6x + 5

              ∧

            1 + 5 = 6    this works!

So the factors are:   (x + 1)(x + 5)

I think none of these are right. It's Y=-5/3x +4/3

ANSWER

[tex] - \frac{5}{3} [/tex]

EXPLANATION

The given line has equation

[tex]3y + 5x = 4[/tex]

Rewrite the equation in the form:

[tex]y = mx + b[/tex]

Add -5x to both sides.

[tex]3y + 5x - 5x = - 5x + 4[/tex]

[tex]3y = - 5x + 4[/tex]

Divide through by 3.

[tex]y = - \frac{5}{3}x + \frac{4}{3} [/tex]

Comparing to the slope intercept formula,

[tex]m = - \frac{5}{3} [/tex]

The slope is

[tex] - \frac{5}{3} [/tex]

Answer:

0.343 L

Step-by-step explanation:

A liter has 1000 mL which is 1000 cm^3

The volume of the cube = s^3

s = 7

Volume = 7^3

V = 343 cc

The number of liters = 343 / 1000 = 0.343 L

Answer:

The answer is 2.333 yards

Step-by-step explanation:

In every one yard there's thirty-six inches.

84/36= 2.333

Hope this helps :)

To convert 84 inches to yards, first convert inches to feet by dividing by 12, resulting in 7 feet. Then, convert feet to yards by dividing by 3, resulting in approximately 2.33 yards.

To convert 84 inches to yards, we need to use the relationships between inches, feet, and yards.

Start by converting inches to feet, and then convert feet to yards.

1. Convert inches to feet:

There are 12 inches in a foot, so divide the number of inches by 12.
84 ÷ 12

= 7 feet

2. Convert feet to yards:

There are 3 feet in a yard, so divide the number of feet by 3.
7 ÷ 3

= 2.33 yards

Thus, 84 inches is equal to approximately 2.33 yards.

Answer:

$2.50

Step-by-step explanation:

Let's take a look at the 4 orders and check the price per pup cake in each order:

Order 1: $5 for 2 cakes, so $2.50 per cake.

Order 2: $7.50 for 3 cakes, so $2.50 per cake.

Order 3: $12.50 for 5 cakes, so $2.50 per cake.

Order 4: $20.00 for 8 cakes, so $2.50 per cake.

Jake has a very consistent pricing of his cakes... they're always $2.50 each.

That price is the relation between the price asked and the number of cakes sold, that's the constant of proportionality in this case.

Answer:

Option 3rd is correct

$2.5 is the constant of proportionality in cost per pup cake

Step-by-step explanation:

The direct proportionality states that:

[tex]y \propto x[/tex]

then the equation is in the form of :

[tex]y = kx[/tex]              ....[1]

where, k is the constant of proportionality.

As per the statement:

The table shows how much Jake charged for the last 4 orders of pup cakes.

Let y represents the cost  and x represents the pup-cakes

Consider any values of x and y from the given tables.

x = 3 and y = $7.5

To find constant of proportionality in cost per pup cake.

Substitute these in [1] we have;

[tex]7.5 = 3k[/tex]

Divide both sides by 3 we have;

2.5 = k

or

k = 2.5

Therefore, $2.5 is the constant of proportionality in cost per pup cake

pythagoras

a^2 = b^2 + c^2

a^2 = (8)^2 + (4)^2

a^2 = 64 + 16

a^2 = 80

[tex]a = \sqrt{80} [/tex]

Answer:

The length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.

Step-by-step explanation:

We are given the length (l) = 8, width (w) = 4 and height (h) = 2.

Now we have to find the diagonal of the base.

The given figure is a rectangle box. The base of the rectangular box is a rectangle with the length (l) = 8 and the width(w) = 4

The length of the diagonal (d) = [tex]\sqrt{l^2 + w^2}[/tex]

d = [tex]\sqrt{8^2 + 4^2}[/tex]

d = [tex]\sqrt{64 + 16}[/tex]

d = [tex]\sqrt{80}[/tex]

d = [tex]\sqrt{16} \sqrt{5}[/tex]

d = 4[tex]\sqrt{5}[/tex]

So, the length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.

Answer:

The radius of the circle is 5 units

Step-by-step explanation:

Given in the question,

centered point = (-3 , 2)

a point in the circle = (1,5)

To find the radius of circle we will use the circle equation

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being r.

Plug values in the equation

(1 – (-3))² + (5 – 2)² = r²

(1+3)² + (3)² = r²

4² + 3² = r²

25 = r²

r = √25

r = 5

Answer:

y=4

Step-by-step explanation:

2y+3=11

Subtract 3 from both sides: 2y=8

Divide both sides by 4: y=4

Answer:

Step-by-step explanation:

2y square root  plus 3 = 11

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

[tex]m^2-13m-30[/tex]

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

[tex](m-15)(m+2)[/tex]

If you don't want to apply the method above, you can use the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]

Where:

[tex]a=1\\b=-13\\c=-30[/tex]

When you susbstitute values you obtain that:

[tex]x=15\\x=-2[/tex]

Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]

Answer:

[tex](m-15)(m+2)[/tex]

Step-by-step explanation:

The given expression is

[tex]m^2-13m-30[/tex]

Split the middle term

[tex]m^2-15m+2m-30[/tex]

Factor

[tex]m(m-15)+2(m-15)[/tex]

Factor further to obtain;

[tex](m-15)(m+2)[/tex]

The correct  answer is A.

(x-8) (x+8) is the answer

ANSWER

y=x

y=x³

EXPLANATION

A function, f(x) has an inverse if and only if

[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]

Thus, the function is one to one.

For y=x or

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

[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]

Hence this function has an inverse.

For the function y=x² or f(x)=x².

[tex]f(a) = f(b) \Rightarrow \: {a}^{2} = {b}^{2} \Rightarrow \: a = \pm \: b[/tex]

This function has no inverse on the entire real numbers.

For the function y=x³ or f(x)=x³

[tex]f(a) = f(b) \Rightarrow \: {a}^{3} = {b}^{3} \Rightarrow \: a = b[/tex]

This function also has an inverse.

For y=x⁴ or f(x) =x⁴

[tex]f(a) = f(b) \Rightarrow \: {a}^{4} = {b}^{4} \Rightarrow \: a = \pm \: b[/tex]

This function has no inverse over the entire real numbers.

Answer:

The function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.

Step-by-step explanation:

Function inverse definition:

If a provided function f(x) is mapped x to y, then the inverse of the provided function f(x) is mapped y to x.

Or  [tex]f(x)=f(y)\Rightarrow x=y[/tex]

Now, consider the function y = x.

Interchange the variables x and y.

[tex]x=y[/tex]

Now, solve [tex]x=y[/tex] for [tex]y[/tex].

[tex]x=y[/tex]

Therefore, this function has an inverse.

Consider the function [tex]y=x^{2}[/tex].

Interchange the variables x and y.

[tex]x=y^{2}[/tex]

Now, solve [tex]x=y^{2}[/tex] for [tex]y[/tex].

[tex]\pm \sqrt{x} =y[/tex]

Therefore, the function has no inverse.

Consider the function [tex]y=x^{3}[/tex].

Interchange the variables x and y.

[tex]x=y^{3}[/tex]

Now, solve [tex]x=y^{3}[/tex] for [tex]y[/tex].

[tex]\sqrt[3]{x}=y[/tex]

Therefore, the function has inverse.

Consider the function [tex]y=x^{4}[/tex].

Interchange the variables x and y.

[tex]x=y^{4}[/tex]

Now, solve [tex]x=y^{4}[/tex] for [tex]y[/tex].

[tex]\pm \sqrt[4]{x}=y[/tex]

Therefore, the function has no inverse.

Hence, the function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.

Answer:

The Answer is 156

Step-by-step explanation:

A=(B1+B2)H/2

1) to find the area of a trapezoid you must First add the 2 bases

20+32= 52

2) Then Multiply the 2 bases sum by the Height

52 x 6 = 312

3) divide the product 312 By 2

312/2= 156

That is Your answer!

Hopes this helps!

For the area of a trapezoid use formula: Area = (BaseX+BaseY) times Height divided by 2.

so for this problem you’d plug in (20+32) times 6 then divide it by two.

20+32=52 times 6 equals 312

Divide by 2 and you get 156.

Area= 156

Answer:

3^2 = 9

9+2 = 11

g(3)= 11

Step-by-step explanation:

ANSWER

[tex]g(3) = 11[/tex]

EXPLANATION

The given function is

[tex]g(x) = {x}^{2} + 2[/tex]

We substitute b x=3 into the function to obtain;

[tex]g(3) = {3}^{2} + 2[/tex]

Simplify;

[tex]g(3) = 9 + 2[/tex]

[tex]g(3) = 11[/tex]

Answer:

I'd go with B because it's closest, not sure if some context is missing to get an exact answer....

Step-by-step explanation:

22000 falls in the 15% tax rate bracket

Tax=income•rate

Tax=22000•(15/100)

Tax=3300

Answer:

The answer is C

Step-by-step explanation: