Determine if the ordered pair (6, 4) is a solution to the inequality
[tex]y < \frac{3}{4}x - 3[/tex]


A.No, because (6, 4) is above the line
B.Yes, because (6, 4) is below the line
C.Yes, because (6, 4) is on the line
D.No, because (6, 4) is on the line​

Answer:

1080

Step-by-step explanation:

looking at the ratio of 1 : 3 : 6, we can say that the pupils are divided into 1 + 3 + 6 = 10 "parts".

Indian are 1 part, Malay are 3 parts, and Chinese are 6 parts.

So 3x (3 parts of malay) is 360 more than 1x (1 part of Indian). Thus:

3x - 360 = x

2x = 360

x = 180

We know chinese is 6 parts, or 6x, so Chinese would be 6 (180) = 1080

Hence, there are 1080 chinese pupils

Check the picture below.

now we simply plug all those three sides in Heron's Area Formula.

[tex]\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=5.8\\ b=9.75\\ c=7.39\\ s=11.47 \end{cases} \\\\\\ A=\sqrt{11.47(11.47-5.81)(11.47-9.75)(11.47-7.39)} \\\\\\ A=\sqrt{11.47(5.66)(1.72)(4.08)}\implies A\approx \sqrt{455.5839955} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 21.3444~\hfill[/tex]

Answer:

area of triangle ABC is 21.39 square units.

C is the correct option.

Step-by-step explanation:

We know the formula for the area of the triangle ABC in terms of sine. The formulas are

[tex]A=\frac{1}{2}ab\sin C\\\\A=\frac{1}{2}ac\sin B\\\\A=\frac{1}{2}bc\sin A[/tex]

In the given triangle, we hae

b = 9.75

c = 7.39

A = 36.43°

Therefore, area of triangle ABC is given by

[tex]A=\frac{1}{2}bc\sin A\\\\\frac{1}{2}\cdot9.75\cdot7.39\sin36.43\\\\A=21.39[/tex]

Hence, area of triangle ABC is 21.39 square units.

C is the correct option.

Answer:

C.

Step-by-step explanation:

So there are 20 kids with brown hair and this represents 80% of the class total.

So this means 20=.8n since we don't know the total number of kids.

20=.8n

Divide both sides by .8

25=n

So 25 is the total number of kids.

C. is the answer

You could also setup this equation given that 80% is 80/100:

[tex]\frac{20}{\text{ total }}=\frac{80}{100}

To figure out what that total is there you can divide top and bottom of the fraction on right hand side by 4 which gives you the 20 on top and the 25 on bottom.

Answer:

63 donuts

Step-by-step explanation:

210 donuts -> 10 hours

  x  donuts -> 3 hours

This is already setup for a proportion:

[tex]\frac{210}{x}=\frac{10}{3}[/tex]

Cross multiply:

[tex]3(210)=10x[/tex]

Simplify:

[tex]630=10x[/tex]

Divide both sides by 10:

[tex]\frac{630}{10}=x[/tex]

Simplify:

[tex]63=x[/tex]

63 donuts can be made in hours.

The division is one of the four fundamental arithmetic operations. The number of donuts that can be made in 3 hours time period is 63 donuts.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 210 donuts can be made in 10 hours. Therefore, the number of donuts that can be made per hour are:

Number of donuts per hour = 210 donuts / 10 hour

                                              = 21 donuts / hour

Now, the number of donuts that can be made in 3 hours are,

Number of donuts = 21 donuts / hour × 3 donuts

                               = 63 donuts

Hence, the number of donuts that can be made in 3 hours time period is 63 donuts.

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Step-by-step explanation:

whuch topic does it belong to

Answer:  The required transformation from ABCDE to MNOPQ is the reflection across the y axis.

And, the co-ordinates of the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3) and Z(3, 1).

Step-by-step explanation:  Given that a polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).

A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.

We are to find the transformation.

We note that if (x, y) denotes the co-ordinates of a vertex of polygon ABCDE, then the corresponding vertex of polygon MNOPQ has co-ordinates (-x, y).

So, the sign before the x co-ordinate is changing, which gives the reflection across the y axis.

Therefore, the required transformation is the reflection across the y axis.

Also, the polygon is translated 3 units right and 5 units down so that it will coincide with a congruent polygon VWXYZ.

We are to find the co-ordinates of the vertices of polygon VWXYZ.

According to the given transformation rule, the co-ordinates of polygon MNOPQ changes as follows :

(x, y)   ⇒   (x+3, y-5).

So, the vertices of polygon VWXYZ are

V(-2+3, 8-5) = V(1, 3),

W(-4+3, 12-5) = W(-1, 7),

X(-10+3, 12-5) = X(-7, 7),

Y(-8+3, 8-5) = Y(-5, 3),

Z(-6+3, 6-5) = Z(-3, 1).

Thus, the co-ordinates of the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3) and Z(3, 1).

Answer:

False

Step-by-step explanation:

What the attached image says that if two solids with equal heights and base areas are cut by any parallel plane to their bases then sections of equal area (volume) would be produced in them

Answer:

The answer is 2.

2  since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

[tex]\frac{6}{4}=\farc{3}{x}[/tex]

Again I put y/x from each point. They should have same ratio because this is a direct variation.

Cross multiply:

[tex]6(x)=4(3)[/tex]

[tex]6x=12[/tex]

Divide boht sides by 6:

[tex]x=\frac{12}{6}[/tex]

[tex]x=2[/tex]

Answer:

Step-by-step explanation:

You are solving for the direct variation. This means that the amount of change for is consistent for both x & y:

Note: (x , y) & (x₁ , y₁)

(x , y) = (4 , 6)

(x₁ , y₁) = (x , 3)

Set the two equal to each other:

(4 , 6) = (x , 3)

Find common denominators (y). Remember that what you multiply to one you multiply to the other:

(4 , 6) = (x * 2, 3 * 2) = (2x , 6)

Simplify. Isolate the variable x. Divide:

(4) = (2x)

(4)/2 = (2x)/2

x = 4/2

x = 2

x = 2 is your answer.

Answer:

C

Step-by-step explanation:

Note that if x = h is a root of a polynomial f(x) then f(h) = 0

Note the sum of the coefficients of the given polynomial

x³ + 4x² + x - 6 is

1 + 4 + 1 - 6 = 0

Hence x = 1 is a root( zero) and (x - 1) is a factor

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

Parallel lines have the same slope.

===========================================

We have y= -6x - 9 → m = -6

Put the value of a slope and the coordinates of the point (-2, 3) to the equation of a line:

3 = -6(-2) + b

3 = 12 + b        subtract 12 from both sides

-9 = b → b = -9

Finally:

y = -6x - 9

The square root of 9 is 3, but the negative square root of 9, which is -3, is less than 2 squared (4). Therefore, the answer to the question is -3.

The square root of 9 is 3. We denote the square root symbolically as √9 = 3. However, if we're looking for which square root of 9 is less than 2 squared (which is 4), we consider that every positive number has two square roots: one positive and one negative. The negative square root of 9 is -3, which is indeed less than 4. Therefore, the square root of 9 that is less than 2 squared is -3.

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Answer:

[tex]\large\boxed{n=\dfrac{-23}{11}=-2\dfrac{1}{11}}[/tex]

Step-by-step explanation:

[tex]\dfrac{6}{11}=\dfrac{n+7}{9}\qquad\text{cross multiply}\\\\11(n+7)=(6)(9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(11)(n)+(11)(7)=54\\\\11n+77=54\qquad\text{subtract 77 from both sides}\\\\11n=-23\qquad\text{divide both sides by 11}\\\\n=\dfrac{-23}{11}[/tex]

Add all of the number of pizzas together

93+67+78+44+123

160+245

405

Divide by 5 because there are 5 numbers

405/5=81

81 pizzas

Answer: 81 pizzas -C.

Answer: no

Step-by-step explanation:

Answer:

The correct option is D) Two pizzas are shared equally among zero people, and you want to know how much each person gets.

Step-by-step explanation:

Consider the provided information,

We need to identify the option which has no solution,

Consider the option A)

Six pizzas are shared equally among three people, and you want to know how much each person gets.

We can find how much each person gets by dividing the number or pizza with number of people:

Each person gets = 6/3 = 2

That means each person gets 2 pizza.

The problem has a solution.

Consider the option B)

Three pizzas are shared equally among two people, and you want to know how much each person gets.

We can find how much each person gets by dividing the number or pizza with number of people:

Each person gets = 3/2 = 1.5

That means each person gets 1.2 pizza.

The problem has a solution.

Consider the option C)

Zero pizzas are shared equally among three people, and you want to know how much each person gets.

We can find how much each person gets by dividing the number or pizza with number of people:

Each person gets = 0/3 = 0

That means each person gets 0 pizza.

The problem has a solution.

Consider the option D)

Two pizzas are shared equally among zero people, and you want to know how much each person gets.

We can find how much each person gets by dividing the number or pizza with number of people:

Each person gets = 2/0 = No solution

As we know any number divided by 0 has no solution.

Thus, the problem has no solution.

Hence, the correct option is D) Two pizzas are shared equally among zero people, and you want to know how much each person gets.

The perfect square [tex](x-a)^2[/tex] can be expanded as follows:

[tex](x-a)^2=x^2-2ax+a^2[/tex]

So, we have to think of the term [tex]-8x[/tex] as [tex]-2ax[/tex], which implies [tex]a=4[/tex].

Thus, we have to add [tex]a^2[/tex], i.e. 16, to complete the perfect square:

[tex](x-4)^2 = x^2-8x+16[/tex]

let's firstly convert the mixed fractions to improper fractions and then add.

[tex]\bf \stackrel{mixed}{2\frac{7}{10}}\implies \cfrac{2\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{27}{10}}~\hfill \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\stackrel{improper}{\cfrac{17}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{27}{10}+\cfrac{17}{2}\implies \stackrel{\textit{using an LCD of 10}}{\cfrac{(1)27+(5)17}{10}}\implies \cfrac{27+85}{10}\implies \cfrac{112}{10}\implies \cfrac{56}{5}\implies 11\frac{1}{5}[/tex]

Answer:

Explanation:

1) Find the expression that represents the situation.

The expression that represents the situation is an inequality:

Hence, the total weight must be less than or equal to (≤) 6 lbs, which is:

2) Graph of the inequality 2x + 3y ≤ 6

Line:

Shaded region:

Conclusion: the graph is the line passing through the points (3, 0) and (0,2), and the shaded region is below the line, so that is the first graph of the picture.

Note: strictly speaking, you should include the restrictions that the variables x and y cannot be negative, with which the graph would be only on the first quadrant but those constrains are not handled in the problem.

The graph is also attached.

Answer:

Answer is A

Step-by-step explanation:

Answer:

The correct answer is the last one, at the bottom.

Step-by-step explanation:

You need to change in f(x) every 'x' for the expression given in g(x), since you have to build a compound function (fºg)(x).

So F(g(x))= F(x4)=-9*(x4)+3

Resulting (fºg)(x)=-9x4+3 (I only changed 'x' for 'x4', the term +3 is not changed since that is not a variable term, is just a constant number.

Answer:

[tex]WY=42.8\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle WYS

Applying the Pythagoras Theorem

[tex]WY^{2}=WS^{2}+YS^{2}[/tex]

we have that

[tex]WS=XZ=42\ units[/tex]

[tex]YS=YZ-WX=19-11=8\ units[/tex]

substitute

[tex]WY^{2}=42^{2}+8^{2}[/tex]

[tex]WY^{2}=1,828[/tex]

[tex]WY=42.8\ units[/tex]

Answer:

Explanation:

1) Vertex form of the function that represents a parabola.

The general form of a quadratic equation is Ax² + Bx + C = 0, where A ≠ 0, and B and C may be any real number. And the graph of such equation is a parabola with a minimum or maximum value at its vertex.

The vertex form of the graph of such function is: A(x - h)² + k

Where, A a a stretching factor (in the case |A| > 1) or compression  factor (in the case |A| < 1) factor.

2) Find the vertex of the first function, f(x) = x²

This is the parent function, for which, by simple inspection, you can tell h = 0 and k = 0, i.e. the vertex of f(x) = x² is (0,0).

3) Find teh vertex of the second function, g(x) = x² -10x + 2

The method is transforming the form of the function by completing squares:

That is the searched vertex form: g(x) = (x - 5)² - 23.

From that, using the rules of translation you can conclude immediately that the function f(x) was translated 5 units horizontally to the right and 23 units vertically downward.

Also, by comparison with the verex form A(x - h)² + k, you can conclude that the vertex of g(x) is (5, -23), and that means that the vertex (0,0)  was translated 5 units to the right and 23 units downward.

Answer:

Its A

Step-by-step explanation:

edge 2021 :))

Answer:

The answer is Region C

Step-by-step explanation:

Region C has total population of Zebra as 16,400 divided by the area occupied in square km which is 625. This gives population density of approximately 26 zebras/km square

[tex] \frac{16400}{625} = 26.24[/tex]

If you follow the same procedure for other regions, you will discover that region C has the highest number of Zebras/square km which is 26.

I hope this helped?

The region that would have the greatest competition for resources is Region C.

Population density is the amount of organisms that live in a square feet of an area.

Population density = population / area

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Answer:

8

Step-by-step explanation:

We are given the following expression and we are to find the simplest form of this expression:

[tex] - 3 2 ^ { \frac { 3 } { 5 } } [/tex]

First of all, we will factor the coefficient:

[tex] 3 2 = 2 ^ 5 [/tex]

Rewriting it as:

[tex] - ( 2 ^ 5 ) ^ { \frac { 3 } { 5 } }[/tex]

Applying the exponent rule [tex](a^b)^c = a^{bc}[/tex] to get:

[tex]-2^{5.\frac{3}{5}}=-2^3[/tex]

[tex]-2^3=-8[/tex]

Answer:

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

and i² = -1

(2 + 2i)(5 + 3i) = (2)(5) + (2)(3i) + (2i)(5) + (2i)(3i)

= 10 + 6i + 10i + 6i² = 10 + 6i + 10i + 6(-1)

= 10 + 6i + 10i - 6             combine like terms

= (10 - 6) + (6i + 10i)

= 4 + 16i

Answer:

[tex]\displaystyle 4+16i[/tex]

Step-by-step explanation:

Distributive property: ⇒ A(B+C)=AB+AC

A=2, B=2, C=5, and D=3

[tex]\displaystyle (2*5-2*3)+(2*3+2*5)i[/tex]

Simplify and refine to find the answer.

[tex]\displaystyle2*3+2*5=2*3=6, 2*5=10, 10+6=16[/tex]

[tex]\displaystyle2*5-2*3=2*5=10-2*3=2*3=6, 10-6=4[/tex]

[tex]\displaystyle 4+16i[/tex] , which is our correct answer.

Answer:

scale factor = 5

Step-by-step explanation:

To determine the scale factor calculate the ratio of corresponding sides of the enlargement to the original, that is

scale factor = [tex]\frac{55}{11}[/tex] = [tex]\frac{45}{9}[/tex] = 5

Answer:

did this problem came with a chart becuase i dont know what youre talkin about

Step-by-step explanation:

Answer:

1 triangle will satisfy the condition.

Step-by-step explanation:

Answer:

approximately 3 ....to be exact 3.1 weeks

Step-by-step explanation:

he earns 225 a week we know that right? and he has to take out 180 to pay for things... so right there you have 225-180=45 so that's 45 dollars a week he has. the MP4 player is 195 and he already has 55 dollars saved so 195-55= 140 so he still needs 140 dollars to buy it the question now is how many weeks will it take for him to save up to 140 dollars? you simply take 140÷45 (bc that's what he gets each week) and it should = 3.1

Answer: 3.1

Step-by-step explanation:

1. 225 a week in pay

2. 180 take out of pay

3. 225-180=45 a week from paycheck

4. Mp3 cost 195.00

5. 55.00 money saved

6. 195-55=140

7. 140÷45 after rounding 3.1

There is the answer

Answer:

answer is D

Step-by-step explanation:

3x-4=4x+10

3x=4x+14

-1x=14

x= -14

Answer:

-14

Step-by-step explanation:

It's multiple choice so we could plug in values of x and see which makes f(x)=g(x) true.

What I mean is would could plug in values of x to see which gives us

3x-4=4x+10 is true.

Or we could just solve it.

3x-4=4x+10

Subtract 3x on both sides:

-4=1x+10

-4=x+10

Subtract 10 on both sides:

-14=x

So x=-14 would make f(x)=g(x) hold.

Let's check it and see!

f(-14)=3(-14)-4=-42-4=-46.

g(-14)=4(-14)+10=-56+10=-46.

They have the same value of -46 so x=-14 is certainly going to make f(x)=g(x) be true.

Answer:

20) 30°; 21) 21,1; 22) 6,2

Step-by-step explanation:

For the first image, you have to do csc⁻¹ 2 [OR sin⁻¹ ½] because you are solving for an angle measure. When evaluated, you get 30°.

For the second image, you have to do 13sec 52° = x [OR 13\cos 52° = x]. When evaluated, you get an approximate measure of 21,1.

For the third image, you have to do 6csc 75° = x [OR 6\sin 75° = x]. When evaluated, you get an approximate measure of 6,2.

Extended information on Trigonometric Ratios

O\H = sin θ

A\H = cos θ

O\A = tan θ

H\A = sec θ

H\O = csc θ

A\O = cot θ

I am joyous to assist you anytime.