setting 7/3 equal to whuch ratio would result in a valid proportion 9/49 18/42 49/9​

Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

Answer:

1.) (2x - 1)(x + 1)

2.) a = 6 ; b = -1

4.a.) x = all rational numbers excluding (-2÷3)

4.b.) x = -1

4.c.) Yes. x = 1÷2

Step-by-step explanation:

E(x) = (2x - 1)² + (x - 2)(1 - 2x) F(x) = ax²-bx-2

F(1) = 5 ; F(-2) = 20

a-b=7 ; 4a+2b=22

3.Answer) Q(x) = 6x² + x - 2

= 6x² + 4x - 3x - 2

= (3x + 2)×(2x - 1)

Hence verified!

P(x) = E(x) ÷ Q(x)

= (x + 1)÷(3x + 2)

Here, x belongs to,

[tex]( - \infty \: to \: - 2 \div 3) union( - 2 \div 3 \: to \: \infty )[/tex]

Means, except x = -2÷3 , all real numbers are valid excluding complex numbers.

P(x) = (x + 1)÷(3x +2) = 0

= > x = -1

Answer:

B    ( -1,-7)

A    (-3,-2)

C    (6, -1)

Step-by-step explanation:

Explanation:-

Given vertices are A( -3,2) , B(-1,7) and C(6,1)

Reflection about the x-axis then the coordinate points are transformed to

(x,y)→ (x,-y)

A(-3,2)→ A¹(-3,-2)

B(-1,7)→ B¹(-1,-7)

C(6,1)→ C¹(6,-1)

Answer:

Step-by-step explanation:

cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169

cos θ is positive in Quadrant IV

cos θ = √(25/169) = 5/13

The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

We have: The terminal side of θ is in quadrant IV quadrant

sinθ = -12/13

cos²θ = 1 - sin²θ

cos²θ  = 1 - (-12/13)²

cos²θ = 1 - 144/169

cos²θ = 25/169

cos θ = √(25/169)

cos θ = 5/13

cos θ is positive in Quadrant IV

Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

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Answer:

d 812 821 here is the answer

Answer:

The answer to the question provided is

[tex] \frac{1}{2} [/tex]

Answer:

to answer this question i need to know what and what x together to get the area

Step-by-step explanation

Answer:

No solutions

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

y = 3x + 1

Step-by-step explanation:

As you can see the y-intercept is at the number 1

and for the slope, if u do rise over run or y/x you get....

3/1 = 3

So the slope is 3

Hope this helped!

Answer:

Slope: -3/5

Step-by-step explanation:

Answer: 1/30

Step-by-step explanation:

Here's the correct question:

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

To calculate the the total weight of the rock left at the construction site goes thus:

= 1/3 + 1/2 - 4/5

The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.

= 1/3 + 1/2 - 4/5

= 10/30 + 15/30 - 24/30.

= 1/30

Step-by-step explanation:

This is an incomplete question. Kindly complete it for assistance

Step-by-step explanation:

Aaron (A)=30 years old currently. (Aaron's son (S)=10 years old currently)

PREMISES

3S+10=2(S+10)

ASSUMPTIONS

Let A=Aaron's “current” age (3S in terms of his son's age)

Let S=Aaron's son's “current” age (S)

CALCULATIONS

3S+10=2(S+10)

3S+10=2S+20

(3S-2S)+10=(2S-2S)+20

S+10=0+20

S+(10–10)=20–10

S+0=10

S=

10 years old

and,

if S=10 years old, then

A=3S (Aaron's “current” age in terms of his son's age)

A=3(10)

A=

30 years old

PROOF

If A=30 years old, then the equations

3S+10=2(S+10)

3(10)+10=2(10)+20

30+10=20+20 and

40=40 establish the roots (zeros) A, S={30 years old, 10 years old} of the mathematical statement 3S+10=2(S+10)

Answer:

Initial value = 14.7

Rate of change = 0.445

Step-by-step explanation:

Given the linear function :

P(d) = 0.445d + 14.7

The linear equation above takes the general. Form of a slope - intercept equation :

y = mx + c

Where ; m = slope or gradient = rate of change in y per unit change in x

c = intercept , which is the intial value of y when x = 0

Thus using the above information ;

Initial value = intercept value = 14.7

The rate of change is the slope value = 0.445

Answer:

Y-7 is the answerr

Step-by-step explanation:

Because there's is a minus sign behind of the y

Answer:

1. (n) 2. (r)

Step-by-step explanation

 interest compounded per year is (n),

annual interest rate is (r).

The number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

A = amount, P = principal, r = rate of interest, n = number of times interest is compounded per year and t = time (in years).

Therefore, the number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.

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Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.

Step-by-step explanation/example

The car was traveling 60 miles per hour, or 60 miles in 1 hour. You have a 1 in 28,000,000 chance of winning the lottery. Out of every possible scenario, only 1 out of 28,000,000 of them has you winning the lottery.

Answer:

China can have the brainiest.

Step-by-step explanation:

Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA

3rd one

Step-by-step explanation:

Answer:

The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Step-by-step explanation:

Consider the provided information.

The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.

The four colonies that were considered to be part of the Middle Colonies are:

New Jersey, Pennsylvania, New York and Delaware Colony

So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I got it right on plato

[tex]\boxed{\boxed{\pink{\bf The \ two \ numbers \ are \ 12 \& \ 85 . }}}[/tex]

Given that , One number is 1 more than 7 times the other number. If their sum is 73 more than

twice the smaller number. And we need to find the numbers. So let us take the

[tex]\underline{\red{\boldsymbol{ According \ to \ the \ Question :- }}}[/tex]

[tex]\bf\implies 2( Small \ no.) + 73 = Bigger \ no. + Smaller \ no.\\\\\bf\implies 2x + 73 = x + 7x + 1\\\\\bf\implies 2x + 73 = 8x + 1 \\\\\bf\implies 8x - 2x = 73-1 \\\\\bf\implies 6x = 72 \\\\\bf\implies x =\dfrac{72}{6} \\\\\bf\implies \boxed{\red{\bf x = 12 }}[/tex]

Hence the smaller number is 12 and the bigger number will be :-

[tex]\bf \implies Number_{bigger} = 7x + 1 \\\\\bf\implies Number_{bigger} =7(12)+1\\\\\bf\implies Number_{bigger} = 84 + 1 \\\\\bf\implies \boxed{\red{\bf Number_{bigger}=85 }}[/tex]

Step-by-step explanation:

let us say the number: x

7x+1=y

x+y=73+2x

y-73=2x-x

y-73=x or

x=y-73

then, 7x+1=y

x=y-73

then after,we'll substitute

7x+1=y

7(y-73)+1=y

7y-511+1=y

7y-510=y

7y-y=510

6y=510

y=510/6

y=85

x=y-73

x=85-73

x=12

Therefore y=85 & x=12

Answer:

a)  [tex]G(x)= \sin x + 2[/tex]

b) The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

[tex]y = \sin x[/tex]

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

[tex]\boxed{G(x)= \sin x + 2}[/tex]

b) The coordinates of P correspond to the value of

[tex]x = \frac{3\pi}{2}[/tex]

The value of G is

[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]

Since

[tex]\sin \frac{3\pi}{2}=-1[/tex]

[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]

The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Answer:

A=πr2

Step-by-step explanation:

Answer:

A= πr²

r = Radius

Step-by-step explanation:

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Answer:

Distance cover in 7 hour = 28 kilometer

Step-by-step explanation:

Given:

Distance = 40 kilometers

Time taken =  10 hour

Find:

Distance cover in 7 hour

Computation:

Distance cover in 7 hour = (40/10)7

Distance cover in 7 hour = (4)7

Distance cover in 7 hour = 28 kilometer