Can some please explain and solve how to do these unit rate equations?

Answer:

why you delete my answer before question

Answer: B

Step-by-step explanation:

When f(x) turns into f(2x), we need to halve the value of x.

The roots of f(2x) will be equal to ( 1 / 2 ) and -1.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-

( x - 1 ) ( x + 2 ) =0

( 2x - 1 )( 2x + 2 ) =0

x = 1 / 2

x = -1

Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.

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Area :-

[tex]\\ \rm\rightarrowtail side^2[/tex]

[tex]\\ \rm\rightarrowtail 13^2[/tex]

[tex]\\ \rm\rightarrowtail 169[/tex]

Square root:-

Answer:

[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]

Step-by-step explanation:

Let  A(2,3) and B(4,0) be the end points of the diameter

then the segment AB is the diameter of the circle

Then the center of the circle (point M) is the midpoint of segment AB

Then M( (2+4)/2 , (3+0)/2 ) then M( 3 , 3/2 )

Now let’s find the radius r of our circle :

r = AB/2

Then

[tex]r=\frac{AB}{2} =\frac{\sqrt{(0-3)^{2}+(4-2)^2} }{2} =\frac{\sqrt{13} }{2}[/tex]

Then Equation of the circle is:

[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} = \left( \frac{\sqrt{13} }{2} \right)^{2} \\\Longrightarrow \left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]

Answer:

yes

Step-by-step explanation:

because the hypotenus is the longest of all the other sizes

Answer: 0.9

Step-by-step explanation:

[tex]\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$[/tex]

[tex]\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}[/tex]

The interest formulas will be used to find the amount Claire owes. If the amount has a single compounding per year, simple interest is used, otherwise, compound interest is used.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

More can be learned about interest at https://brainly.com/question/25781328

Answer:

a. $12,136.67

Step-by-step explanation:

Answer:

$26.42

Step-by-step explanation:

P = 30 * 0.82 * 1.074 = 26.42

Answer:

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow:\sf{A(B+C)=AB+AC}[/tex]

⇒ 4(r+1)+3r

To multiply, first expand the form.

⇒ 4*r=4r

⇒ 4*1=4

Rewrite the problem down.

⇒ 4r+4+3r

Combine like terms.

⇒ 4r+3r+4

Solve.

Add similar to elements.

Add the numbers from left to right.

⇒ 4r+3r=7r

⇒ = 7r+4

I hope this helps you! Let me know if my answer is wrong or not.

Hey there!

1/(√2+√3)-√4

=−2−√2+√3

(Decimal: -1.682163)

Answer:

-1

Step-by-step explanation:

angle 0: 7pie/4

=7*180/4

=1260/4

=315

hence reference angle(0)= 315

now, tan 0 = tan315

= tan(360-45)

= -tan45

= -1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

The given equations are :

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 7x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 32 \div 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

Now, plug the value of x in equation 2 to find y

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 7 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 28[/tex]

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Answer:

665

Step-by-step explanation:

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Answer:

665

Step-by-step explanation:

350 - 30( - 14 + 3.5) ← evaluate the parenthesis

= 350 - 30( - 10.5) ← distribute parenthesis by - 30

= 350 + 315

= 665

Answer:

No, it is not a function.

Step-by-step explanation:

In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.

After x half-lifes, the amount of the isotope is:

A(x*T) = 90mg*e{-x*ln(2)}

And after 70 days, there are 5.628 mg

We define the half-life as the time such that the inital amount of a given substance reduces to half of it.

If the half-life is T, the amount of the substance can be written as:

A(t) = a*e^{-λ*t}

Where λ = ln(2)/T.

and a is the initial amount.

In this case, T = 17.5 days, then:

λ = ln(2)/17.5 days = 0.0396 / day

And we also have a = 90mg

Then the exponential equation is:

A(t) = 90mg*e^{-t*0.0396 / day}

After x half-lifes, the amount of the isotope left is:

A(x*T) = 90mg*e^{-x*T*ln(2)/T} = 90mg*e^{-x*ln(2)}

And after 70 days the amount is:

A(70 days) = 90mg*e^{-70 days*0.0396 / day} = 5.628 mg

If you want to learn more about exponential decays, you can read:

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Answer:

Y=90mg(0.5)^5

1.86 after 70 days

Step-by-step explanation:

Answer:

A&C

Step-by-step explanation:

It would be A because it has 750 mL and C because it has 250mL and 750+250=1000

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Answer:

x = - 3, y = - 1

Step-by-step explanation:

y = 7x + 20 -----> equation 1

4x - y = - 11

4x - ( 7x + 20 ) = - 11

4x - 7x - 20 = - 11

- 3x = - 11 + 20

- 3x = 9

x = 9 / - 3

x = - 3

Substitute x = - 3 in equation 1,

y = 7 ( - 3 ) + 20

  = - 21 + 20

y = - 1

Hence,

x = - 3

y = - 1

Answer:

Explanation:

y = 7x + 20 __ equation 1

4x - y = -11

y = 11 + 4x __ equation 2

using substitution method,

11 + 4x = 7x + 20

4x - 7x = 20 - 11

-3x = 9

x = -3

Find y,

y = 7x + 20

y = 7(-3) + 20

y = -1

Answer: Division Property of equality

Step-by-step explanation:

5d= 75

1. Isolate the variable and remember, if the number is next to the letter, it means to multiply.

2. Reverse PEMDAS so instead of multiplying, divide instead.

3. 75/ 5 equals 15.

d=15

Answer: d=. 15

Step-by-step explanation:

Answer:

7 is first

2 is second

7.3 is third

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the horizontal leg = 7 units

the vertical leg = 2

using Pythagoras' identity to find the distance d

d = [tex]\sqrt{7^2+2^2}[/tex] = [tex]\sqrt{49+4}[/tex] = [tex]\sqrt{53}[/tex] ≈ 7.3 ( to 1 dec. place )

Answer: 108, 132, 156, and 180

Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.

First, we know that angle B is congruent to angle E.

2x + 40 = 5x + 10

2x + 30 = 5x

30 = 3x

x = 10

Angle B and Angle E = 60 degrees

Angle C = 14 degrees

Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.

60 + 14 + D = 180

74 + D = 180

D = 106

Angle D = 106 degrees

Hope this helps!

Answer:

Step-by-step explanation:

<E = <A                property of congruency.

<A = 5x + 10        Comes from the fact that <A and <E are equal.

Three angles of the triangle are given. They add to 180 degrees.

2x + 40 + x + 4 + 5x + 10 = 180         Combine like terms

8x + 54 = 180                                     Subtract 54 from both sides.

8x + 54 - 54 = 180 - 54                      Combine  

8x = 126                                              Divide by 8

8x/8 = 126/8

x = 15.75

<B = <D                                               Congruency and parallel lines

<D = 2x + 40                                       Substitute for x

<D = 2*15.75  +  40                             Combine

<D = 31.5 + 40

<D = 71.5

Using it's concept, it is found that there is a 0.3333 = 33.33% probability that one of the numbers falling uppermost is a 5.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes are given as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

From the list, we have that:

Hence, the probability is given by:

p = 10/30 = 0.3333 = 33.33%.

More can be learned about probabilities at https://brainly.com/question/14398287

The exact numbers listed in this problem are given by:

Exact numbers are numbers that are not rounded. Volumes and lengths, for example, are usually rounded, hence they cannot be called exact.

Thus, the exact numbers listed in this problem are given by:

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Answer:

2.5

Step-by-step explanation:

Let M and P stand for the money that Mike(M) and Pete(P) have.

We discover that M + P = $84.00

We also find that M = $24.00

This means that :

M + P = $84.00

$24.00 + P = $84.00

P = $60.00

The ratio of P to M is ($60.00/$24.00) or 2.5   (P/M - 2.5)

Answer: High quality services cause customers to return for additional meals.

Step-by-step explanation:  The 90% crosses out the first option. Because it's 90% we don't know if all the customers reported their service. The last one just to me wouldn't make sense.

Answer:

C, Almost fifty percent

Step-by-step explanation: I just got it right.

Answer:

x>4

d'ou: x-4>4-4

x-4>0 voilà bonnne journée

Step-by-step explanation: