NASA is launching a prove that will travel in a straight line to Saturn and then beyond. Use d to represent the distance from Earth to Saturn, and use q to represent the total distance the probe has traveled. Saturn has not moved relative to the probe.

Answer:

y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)

Step-by-step explanation:

y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.

m = linear coefficient/slope(denoted by a in a 1 degree binomial)

b = constant coefficient / y-intercept (denoted by b in a 1 degree binomial)

to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.

0.5x = y - 4

0.5x (+4) = y - 4 (+4)

0.5x + 4 = y

y = 0.5x + 4

Answer:

y=0.5x+4

Step-by-step explanation:

0.5x= y-4

add 4 on both sides

and then you get:

y=0.5x+4

The finance charge is $285

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given;

An installment loan that has an APR of 16 percent

The motor scooter sells for $1,687

The store financing requires a 20 percent down payment

Monthly payments are for 30months

Now,

Downpayment= cost of scooter*20%

=1687*20%

=$337.4

Amount of finance = Cost of scooter - Down payment

=1687-337.4=1349.6

Interest rate=16%*1/12=1.3% per month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

=1349.6*1.3%/[1-(1+1.3%)^-30]

=1349.6*0.013(1-0.6780)

=17.5448/0.322

=54.486

Total amount paying for loan over a period = Monthly payment * Term

=54.486*30=1634.6

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge =1634.6-1349.6

=285

Therefore, the finance charge by given percent will be $285

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Answer:

a²+7a+10=0

(a+2)(a+5)=0

∴a+2=0

a= -2

a+5=0

a= -5

a²+6a+8=0

(a+2)(a+4)=0

∴a+2=0

a= -2

a+4=0

a= -4

a²+9a+20

(a+4)(a+5)

∴a+4=0

a= -4

a+5=0

a= -5

Step-by-step explanation:

Solution on the Math book

Answer:

r = 106

Step-by-step explanation:

113 + 38 = 151

151 - 45 = 106

r = 106

Answer:

17i in

Step-by-step explanation:

a² + b² = c²

8² + 15² = c²

64 + 225 = 289

c² = 289

c = [tex]\sqrt{289} \\[/tex]

c = 17

Answer:

The answer is- At y = 5

Step-by-step explanation:

I got is correct on meh math test

The line y = 3x + 5 crosses the y-axis at y = 5. The correct answer would be an option (C).

The y-intercept is defined as an intercept that is located at the y-axis of the plane, which is the location or coordinates from where the line crosses.

The equation is given in the question

y = 3x + 5

We have to determine the y-intercepts for the given line

To determine the y-intercept, substitute the value of x = 0 in the given equation

y = 3(0) + 5

y = 0 + 5

Apply the subtraction operation, and we get

y = 5

Thus, the line y = 3x + 5 cross the y-axis at y = 5.

Hence, the correct answer would be option (C).

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Answer:

y=-6x+4

Step-by-step explanation:

The correct options are (b) f(x)=-3x⁵+5x-2

                                        (d) f(x)=x³-8x²

The function are written in standard form by writing the highest degree term at first and then writting other term according to decreasing order of degree of the variable.

for example f(x)=x⁴+x³+x²+x+1

So according to the question

the function should be written in standard form

so by checking every option,

(a) f(x)=8-x⁵ here highest power is 5 but that term is present at second term. so option A is incorrect.

(b) f(x)=-3x⁵+5x-2 here highest power is 5 and that term is present at first term. then all the terms are arranged in decrreasing order of power.

(c) f(x)=2x⁵+2x+x³ here highest power is 5 and that term is present at first term. then the second highest powered term is 3 and that term is present at third position which should be present at second position.

(d) f(x)=x³-8x² here here highest power is 3 and that term is present at first term. then all the terms are arranged in decrreasing order of power.

Therefore, The correct options are

(b) f(x)=-3x⁵+5x-2

(d) f(x)=x³-8x²

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Answer: The first answers are B. and D.

The second answer is 5

Step-by-step explanation: The third answer is -3

Answer:

-30x 6 = -9 -3x=

x = 3/13

Answer:

if x divided by negative 5 equals negative 15, you multiply both sides by negative 5, leaving x = 75, which should be your answer

Step-by-step explanation:

Answer:

what the question or were is it

Step-by-step explanation:

Answer:

i dont see an question

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

add

Answer:

D

Step-by-step explanation:

Answer:

i think D but i might be wrong

Step-by-step explanation:

Answer:

Squirrel population is 440 squirrels.

Step-by-step explanation:

It is given that there are 22 squirrels are marked.

Later the company returned and counted a total of 220 squirrels of which are marked were 11.

So, we can set up proportional equation to find the squirrel population.

Let squirrel population is x.

We can set up proportional equation as

[tex]\frac{11}{220}=\frac{22}{x}[/tex]

Cross multiply

11 x=4840

Divide both sides by 11

x=440

Best estimate is 440.

Answer: Yas

Step-by-step explanation:

Answer:

[tex]x= 6+ \sqrt {6}[/tex]

Step-by-step explanation:

[tex]-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}[/tex]

Answer: 4

4x = 4

S RT = 4

Answer = 4

i am not so sure.

Answer:

of

Step-by-step explanation:

maaf ya kalo jawaban nya salah

Answer:

ΔDEF= Isosceles Triangle

ΔJKL= Scalene Triangle

ΔTRI= Equilateral or Isosceles Triangle

Answer:

A. 22,075.06

B. 17,422.44

Answer:

A. $22,074.94

B. $12,422.44

Step-by-step explanation:

28,485.34 25,405.56

- 6,410.28 - 7, 983.12

= 22,074.94 = 12,422.44

Answer: c

Step-by-step explanation: divide 42.50 by 5 and then divide your answer (8.3) to 153

Answer:

C. 18 Hours

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

8(10-k)-2k=0

80-8k-2k=0

80-10k=0

-10k=-80

-80/-10

k=8

Answer:

The answer to this problem is k=8

Answer:

2y+6

Step-by-step explanation:

Answer: For every 1 bushel, there will be 2 quarts

Step-by-step explanation:

If 4:8, then you would have to divide. To find how much bushels there are in a quart, you would need to divide each number by 4. 4/4 = 1. 8/4 = 2. So, the relationship between b:q would be 1:2

Answer:

21 is the correct answer