❗️❗️URGENT❗️❗️
3. Match the graph with the correct equation.
A. y-1=-6/5(x-2)

B. y+2=6/5(x+1)

C. y-2=6/5(x-1)

D. y+1=6/5(x+2)

Answer:

y=3x+4

Step-by-step explanation:

the first graph the y intercept is -3

the second equation : y=3x+4

the y intercept is 4, when x-0 y=b=4 this one has the greatest  y-intercept

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

The solution is

The cost of one adult ticket = $ 7

The cost of one child ticket = $ 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one adult ticket be = x

Let the cost of one child ticket be = y

Now , for Family 1 :

2 adults and 3 children and costs a total of £20 to enter the park

Substituting the values in the equation , we get

2x + 3y = 20   be equation (1)

Now , for Family 2 :

1 adult and 4 children and costs a total of £15 to enter the park

Substituting the values in the equation , we get

x + 4y = 15   be equation (2)

On simplifying the equations , we get

Multiply equation (2) by 2 , we get

2x + 8y = 30   be equation (3)

Subtracting equation (1) from equation (3) , we get

5y = 30 - 20

5y = 10

Divide by 5 on both sides of the equation , we get

y = 2

So , the cost of one child ticket is $ 2

Now , substituting the value of y in equation (2) , we get

x + 4y = 15

x + 4 ( 2 ) = 15

x + 8 = 15

Subtracting 8 on both sides of the equation , we get

x = 15 - 8

x = 7

So , the cost of one adult ticket is $ 7

Hence , the value of x is $ 7 and value of y is $ 2

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Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

Answer:

a = 10/3

Step-by-step explanation:

Step 1: Convert to improper fraction

a + 17/3 = 9

Step 2: Subtract 17/3 on both sides

a = 10/3

Answer:  The total number of vehicles in the bar graph does not add up to 30.

The spacing between the bars should be equal.  

It would be helpful to put the number of each type at the top of its bar.

It may be useful to give the location and time/date of the observation in the title of the graph.

Step-by-step explanation:  The total 12 + 8 + 6 = 26.

My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.

Answer:

C. (6, 5) and (3, -4)

Step-by-step explanation:

Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.

Let's try with (6, 5):

3x - y = 13

3 * 6 - 5 =? 13

18 - 5 =? 13

13 = 13

Since this is true, we know that (6, 5) is indeed a solution.

Now let's try with (3, -4):

3x - y = 13

3 * (3) - (-4) =? 13

9 + 4 =?13

13 = 13

Again, since this is true, then (3, -4) must be a solution.

Thus, the answer is C.

~ an aesthetics lover

Answer: c

Step-by-step explanation:

lol

Answer:

False

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 8x + 44 ≥ 60

Subtract 44 from both sides

- 8x + 44 - 44 ≥ 60 - 44

- 8x ≥ 16

Divide both sides by -8 and flip the inequality sign

-8x/-8 ≤ 16/-8

x ≤ -2

x = {   ......... -4,-3,-2}

2) -4x + 50  < 58

Subtract 50from both sides

-4x + 50 -50 < 58- 50

-4x < 8

Divide both sides by -4 and flip the inequality sign

-4x/-4 > 8/-4

x > -2

x= {-1, 0 , 1 , 2....... }

Answer:

Step-by-step explanation:

1. [tex] - 8x + 44 \geqslant 60[/tex]

Move constant to R.H.S and change its sign

[tex] - 8x \geqslant 66 - 44[/tex]

Subtract the numbers

[tex] - 8x \geqslant 16[/tex]

Divide both sides of the inequality by -8 and flip the inequality sign

[tex]x \leqslant - 2[/tex]

2. [tex] - 4x + 50 < 58[/tex]

Move constant to the R.H.S and change its sign

[tex] - 4x < 58 - 50[/tex]

Subtract the numbers

[tex] - 4x < 8[/tex]

Divide both sides of the inequality by - 4 and flip the inequality sign

[tex]x > - 2[/tex]

Hope this helps...

Best regards!!

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 = 0

(x - 6)² = 0

x - 6 = 0

x = 6

Hope this helps! :)

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 = 0

Factor left side.

(x - 6)² = 0

Set factor equal to 0.

x - 6 = 0

x = 6

Answer:

75

it has to be smaller then 87 and bigger then 53

Answer:

Step-by-step explanation:

x   - total number of people the crew contains

[tex]66\frac23\%x=\frac23x\\\\\\\frac23x\qquad\rightarrow\qquad 8\\\\:\frac23\,\qquad\ \qquad\ :\frac23\\\\x\ \qquad\ \rightarrow\qquad 8:\frac23=8\cdot\frac32=4\cdot3=12[/tex]

Answer:

x - 135 where x is the money you have in your bank

Step-by-step explanation:

Answer:

X-135

Step-by-step explanation:

$135 from her checking account.=x

Answer:

P(A|B) = 8/15

Step-by-step explanation:

Mathematically;

P(A|B) = P(A ∩ B)/P(B)

Thus we have

P(A|B) = 1/5 divided by 3/8

= 1/5 * 8/3 = 8/15

Answer:

Statements 1,3 and 4 are correct

Step-by-step explanation:

We want to select the three correct statements as related to demand and supply.

Statement 1 is correct

An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease

Statement 2 is incorrect

A decrease in demand should drive down the prices of commodities for normal goods

Statement 3 is correct

A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods

Statement 4 is correct

An increase in demand would make suppliers increase the price they place on their commodities.

Answer:

Step-by-step explanation:

Given the expression  (sec θ + tan θ) x (1 – sin θ), to simplify he expression the following steps must be followed. First we must know that from trigonometry identity, secθ = 1/cos θ and tanθ = sinθ/cosθ

Substituting this foremulas in the expression we will have:

(sec θ + tan θ) x (1 – sin θ)

= (1/cosθ + sinθ/cosθ)* (1-sinθ)

= (1+sinθ/cosθ) *1-sinθ

= {(1+sinθ)(1-sinθ)/cosθ}

= (1-sinθ+sinθ-sin²θ)/cosθ

= 1-sin²θ/cosθ

Also, from pythagoras therorem, sin²θ+cos²θ = 1

cos²θ = 1-sin²θ

substituting cos²θ = 1-sin²θ into the final expression above we have:

1-sin²θ/cosθ = cos²θ/cosθ

= cosθ

(sec θ + tan θ) x (1 – sin θ) = cosθ

Answer:

Step-by-step explanation:

a function is a relation from a set of inputs to possible output where each input is related ONLY to one output(x),

yes

yes

no

yes

Answer:

He has ran 15 miles and passed the bank 12 miles from his location where he is at.

Step-by-step explanation:

WHY WAS HE ROBBING A BANK?????????

Answer:

Step-by-step explanation:

His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.

After 3 hours he has gone 5(3)+3 miles, or 18 miles

Answer:

A and D

Step-by-step explanation:

Took test on edge

The functions f(x) = x⁴ - x² and f(x) = |x| are even functions, option (A) and (D) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

f(x) = x⁴ - x²

To check whether the function is even or odd:

f(-x) = (-x)⁴ - (-x)²

f(-x) = x⁴ - x²

f(-x) = f(x)  (even function)

Similarly for other functions:

f(-x) = x² + 3x + 2 ≠ f(x)  (odd function)

f(-x) = √(-x - 2) ≠ f(x) (odd function)

f(-x) = |x| = f(x)  (even function)

Thus, the functions f(x) = x⁴ - x² and f(x) = |x| are even functions, option (A) and (D) are correct.

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Answer:

[tex]314 \frac{2}{7} cm^{2} [/tex]

Step-by-step explanation:

Surface area of sphere= 4πr², where r is the radius of the sphere.

Given that the diameter is 10cm,

2(radius)= 10cm

radius= 10 ÷2

radius= 5cm

Surface area of sphere

[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]

Answer:

Advance tickets=$25

Same-day tickets=$15

Step-by-step explanation:

Complete question below:

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Let

advance tickets=x

Same-day tickets=y

Combined cost of advance and same-day tickets=$40

It means,

x+y=40 Equ (1)

25 advance tickets and 30 same-day tickets=$1075

It means,

25x+30y=1075 Equ(2)

From (1)

x+y=40

x=40-y

Substitute x=40-y into (2)

25x+30y=1075

25(40-y)+30y=1075

1000-25y+30y=1075

5y=1075-1000

5y=75

Divide both sides by 5

5y/5=75/5

y=15

Recall,

x+y=40

x+15=40

x=40-15

=25

x=25

Advance tickets=$25

Same-day tickets=$15

Check

25x+30y=1075

25(25)+30(15)=1075

625+450=1075

1075=1075

Answer:

£54 and 168.75 mins

Step-by-step explanation:

Answer:

A. The side opposite the 60° angle has a length of √3/2

C.Sin(60°)=√3/2

E.The other acute angle of the triangle is 30°

Step-by-step explanation:

The diagram has been attached to the answer

A. The side opposite the 60° angle has a length of

B. The side opposite the 60° angle has a length of .

C. sin(60°) =

D. sin(60°) =

E. The other acute angle of the triangle is 30°.

Answer

The side opposite the 60° angle has a length of the square root of 3/2

Opposite side of the 60° angle has a length of √3/2

sin(60°) = the square root of 3/2

Sin(60°)=√3/2

The other acute angle of the triangle is 30°

Proof:

Total angle in a triangle=180°

180°-60°-90°

=30°

Answer:

A, D, E

Step-by-step explanation:

I do is big smart

Answer:

Infinite Amount of Solutions

(1, -3.5) - 2nd Option

Step-by-step explanation:

If your systems of equations is:

x + 2y = -6

y = -1/2x - 3

Then when you put the first equation in slope intercept form, you get the exact same 2 lines. Therefore, our answer is Infinite amount of solutions.

If you systems of equations is:

x+ 2y = -6

y = -1/2 - 3

We find where the 2 graphs intersect. Therefore, our answer is (1, -3.5)

⇒Answer:

(1,-3.5)

⇒Step-by-step explanation:

Well to find the solution we need to do the following

Steps,

_______________________

Substitute y

Combine like terms

Sperearte x

When x is found substitute

Combine like terms

Single out y

_______________________

x + 2(-1/2x - 3) = -6

x - 1 - 6 = -6

x - 7 = -6

x = 1

y = -1/2(1) - 3

y = -1/2 - 3

y = -3.5

____________

Answer:

(1,-3.5)

Answer:

all real values of x

Step-by-step explanation:

The domain of g is the values that x can take

There are no restrictions on the values that x can take

Answer:

[tex]\boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

[tex]g(x)=5-2x[/tex]

The domain of a function is the set of all possible inputs for the function.

The value of [tex]x[/tex] can be all real numbers,

There are no restrictions on the value of [tex]x[/tex].

Answer:a) a=22, b=11

b) m=7[tex]\frac{\sqrt{2} }{2}[/tex], n= [tex]\frac{98-7\sqrt{2} }{2}[/tex]

Step-by-step explanation:

You should use trigonometry ratios as required and then you should use pythagoras theorem

In a) cosine(30°)= base/hypotenuse,

where 11√3 is the base

"a" is hypotenuse and

"b" is perpendicular

from this you can find the value of perpendicular then you should use pythagoras theorem to find the value of hypotenuse

pythagoras theorem is

base²+perpendicular²= hypotenuse²

Same is applied on (b) right triangle as, sine(45°)=perpendicular/hypotenuse

Hey there! :)

Answer:

Third option. x = 2, and x = 4.

Step-by-step explanation:

Find the zeros of this quadratic equation by factoring:

f(x) = x² - 6x + 8

Becomes:

f(x) = (x - 4)(x - 2)

Set each factor equal to 0 to solve for the roots;

x - 4 = 0

x = 4

x - 2 = 0

x = 2

Therefore, the zeros of this equation are at x = 2, and x = 4.

Answer:

x=4  x=2

Step-by-step explanation:

f(x) = x^2 − 6x + 8

To find the zeros, set equal to zero

0  = x^2 − 6x + 8

Factor

What 2 numbers multiply to 8 and add to -6

-4*-2 = 8

-4+-2 = -6

0 = ( x-4) (x-2)

Using the zero product property

x-4 =0    x-2=0

x=4  x=2

THIS IS THE COMPLETE QUESTION BELOW;

Complete the paragraph proof. Given: ∠ABR and ∠ACR are right angles AB ≅ BC BC ≅ AC Prove: bisects ∠BAC

It is given that ∠ABR and ∠ACR are right angles, AB ≅ BC and BC ≅ AC Since they contain right angles, △ABR and △ACR are right triangles. The right triangles share hypotenuse AR, and reflexive property justifies that AR ≅ AR. Since AB ≅ BC and BC ≅ AC, the transitive property justifies AB ≅ AC. Now, the hypotenuse and leg of right △ABR is congruent to the hypotenuse and the leg of right △ACR, so △ABR ≅ △ACR by the HL congruence postulate. Therefore, by CPCTC, and bisects ∠BAC by the definition of bisector.

Answer:

The answer is ∠BAR=∠CAR

Step-by-step explanation:

From the question, In the ΔABR and ΔACR , AB=AC=X

CHECK THE ATTACHMENT FOR DETAILED STEP BY STEP EXPLANATION:

Answer:

A) <BAR = <CAR

Step-by-step explanation:

Edge

Answer:

Hey there!

-x+2y=10

2y=x+10

y=1/2x+5

Thus, the y intercept is 5.

Hope this helps!

Answer:

(0,5)

Step-by-step explanation:

-x+2y=10

2y = x+10

y= (1/2)*x+ 5

The y-intercept is the number we add in the end of the equation wich is here (0,5)

Answer:

B: x>4

Step-by-step explanation:

You want to make an inequality first:

36+4x>52

4x + 36 − 36 > 52−36

4x > 16

4x ÷ 4 > 16 ÷ 4

x > 4

Answer: 0.014

Step-by-step explanation: 5 divided by 18!