Step-by-step explanation:
Given the function that models the income of a family as g(X) = ax+b
at x = 0, g(x) = 42000, the function becomes;
g(X) = ax+b
42000 = a(0)+b
42000 = 0+b
b = 42000
at x = 1, g(x) = 56256
56256 = a(1) + b
56256 = a+b
a = 56256 -b
a = 56256 - 42000
a = 14,256
To get the average family income in 1997, wee need to calculate g(x) at when x = 5, since the number of years between 1992 and 1997 is 5years.
g(x) = ax+b
g(5) = 14256(5) + 42000
g(5) = 71,280+42000
g(5) = 113,280
Hence the average family income in 1997 is 113,280
Which is a correct statement about the description "two less than the quotient of a number cubed and sixteen, increased by eight" when n = 4? The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 8. The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction 8. One of the steps to determining the value when n = 4 is 1 minus 2 8. One of the steps to determining the value when n = 4 is 2 minus 1 8. The value when n = 4 is 6. The value when n = 4 is 7. The value when n = 4 is 9. The value when n = 4 is 10.
The correct statement for the given description is [tex]\dfrac{n^3}{16}-2+8[/tex], while the value of the expression for x = 4 is 10.
What is a linear equation?A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it.
The description of the statement is:
"Two less than the quotient of a number cubed and sixteen, increased by eight"and n = 4Now, the given statements of the problem can be written as,
"Two less than x" describes "x- 2" "Quotient of x and y" describes "x increased by y" describesFurther, by combining all three statements, [tex]\dfrac{n^3}{16}[/tex] is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
Thus, the resultant expression is [tex]\dfrac{n^3}{16}-2+8[/tex].
Evaluating the obtained expression at n=4,
Replace n with 4 and evaluate the expression as follows.
[tex]\dfrac{n^3}{16}-2+8|_{n=4} = \dfrac{4^3}{16}-2+8 = 4+6 =10[/tex]
Learn more about Linear Equations:
https://brainly.com/question/14362668
el lado de un cuadrado de su area es de 432m2
Answer:
Todos los lados de un cuadrado son iguales. Hay 4 lados en un cuadrado. Entonces, para encontrar un lado, debemos dividir el área por 4.
432/4 = 108, Un lado del cuadrado mide 108 metros.
What is the answer to this question?
What is 9.3456 x 12.3456 +123.566 - 12.4567
Answer:
226.48633936
Step-by-step explanation:
9.3456 x 12.3456 = 115.37703936
115.37703936 + 123.566 = 238.94303936
238.94303936 - 12.4567 = 226.48633936
Or to make it short 226.49
Hope this helped!
If a snowboarder tries to do a 360 but makes it only 3/4 of the way around, how many degrees would that be?
Multiply 360 by 3/4
360 x 3/4 = (360 x3)/4 = 1080/4 = 270
Answer : 270 degrees
Enter an expression that represents the sum of seven cubed and forty nine
Let, first find expression for both;
— The expression for seven cubed is 7³
— The expression for forty nine is 49
Now, sum of both is 7³ + 49
This is the required answer
ab = 6 BC= 12 what is the lenghth of ac
What is the completely factored form of x3 – 64x?
x(x – 8)(x – 8)
(x minus 4) (x squared + 4 x + 16)
x(x – 8)(x + 8)
(x – 4)(x + 4)(x + 4)
Answer:
3rd option
Step-by-step explanation:
x³ - 64x ← factor out x from each term
= x(x² - 64) ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 64
= x² - 8²
= (x - 8)(x + 8)
then
x³ - 64x = x(x - 8)(x + 8)
[tex] \huge \underline\frak \red{Answer}[/tex]
[tex]\small\mathbb\orange{x³-64x}[/tex]
[tex]\small\mathbb\orange{x(x²-64)}[/tex]
[tex]\small\mathbb\orange{know \: that \: it \: will \: be \: a \: x- and \: a \: because}[/tex]
[tex]\small\mathbb\orange{there \: is \: no \: middle \: x \: value}[/tex]
[tex]\small\mathbb\orange{x-)(x+)}[/tex]
[tex]\small\mathbb\orange{x(x \: — \: 8) (x+8)}[/tex]
______________________________________
[tex]\small\frak\green{hope \: its \: helpful \: to \: you}[/tex]
How many meters are in 3.7 km?
Answer:
3700 m.
Step-by-step explanation:
3.7km= 3.7* 1000
3.7 km = 3700 m
Does anyone know angles? If so can you help me?
Answer:
Top right is x=21 Top left is x=15
Bottom right is x=9 Bottom left is x=38
Step-by-step explanation:
HELP ME PLZZ I NEED HELP WITH THIS !!
Answer:
i think its letter B.
I hope I help you
Answer:
I think it is A but i might be wrong.
Step-by-step explanation:
I feel this is a matter of opinion.
7/27 ? 11/36
< or > or =
Answer: Less than sign
7/27 < 11/36
===================================================
Work Shown:
First assume the two fractions are equal
7/27 = 11/36
Let's cross multiply to get...
7*36 = 27*11
252 = 297
The last equation is false, so the original equation is false. We can fix things by replacing the equal sign with a less than sign (since 252 is less than 297), so we get this instead
7/27 < 11/36
7*36 < 27*11
252 < 297
Showing that 7/27 is smaller than 11/36. We can confirm this by converting everything to decimal form. Use a calculator.
7/27 = 0.259 approximately
11/36 = 0.306 approximately
We see that 7/27 has the smaller decimal representation.
Simplify the following. h^2-h-20/h^2-25
h2 - h
h2 - 25
Trying to factor by splitting the middle term
1.1 Factoring h2 - h - 20
The first term is, h2 its coefficient is 1 .
The middle term is, -h its coefficient is -1 .
The last term, "the constant", is -20
: Multiply the coefficient of the first term by the constant 1 • -20 = -20
: Find two factors of -20 whose sum equals the coefficient of the middle term, which is -1 .
What value from set {4,5,6,7,8} makes the equation 6x -3 =45 true? Explain and show all your work.
Answer:
8
Step-by-step explanation:
In order for the equation to be true, both sides need to have the same value of 45. So, you need to find what value of x makes that side of the equation equal 45.
To simplify this, I would start by adding 3 to both sides: 6x = 48.
Next, I would divide both sides by 6, giving us x=8.
Which of the functions graphed below has a removable discontinuity?
Answer:
3 graph
Step-by-step explanation:
A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph.
The function in the graph that has a removable discontinuity is graph 3.
What is a removable discontinuity?A removable discontinuity can be defined as a point on a graph of a function at which it is not connected. This ultimately implies that, a removable discontinuity refers to a point on the graph of a function that is considered to be undefined or doesn't accurately fit the other part of a graph.
However, it should be noted that the discontinuity in this graph can be corrected by filling in a single point.
Read more on function here: brainly.com/question/4246058
Are -9 and 22 like terms
Answer:
I would say no. But do not get mad if i am wrong
Step-by-step explanation:
Answer:
no
they are not the same number
This is pretty simple but I have no idea lol thanks
Answer:
cubic function
Step-by-step explanation:
What is 4x + 7 will give brainliest.
Answer:
11x
Step-by-step explanation:
math
Patrick borrows $20,500 for 5 years with an interest rate of 2.3%, how much interest will he owe?
Answer:
i think its 2.3%
Step-by-step explanation:
tell me if im wrong
Write the vertex
form of y = X(4-x)
Answer:
4 = (y + x^2)/x
Step-by-step explanation:
y = x(4-x)
y/x = 4-x
4 = y/x +x
4 = (y + x^2)/x
what is supplementary angle of LGC
Answer:
your answer attached above
hope it helps.
:DD
Please look at the picture.
Answer:
the second one
Step-by-step explanation:
For a standard normal distribution, if p (z less-than-or-equal-to a) = 0.7116, what is the value of p (z greater-than-or-equal-to a)? 0.2116 0.2884 0.7116 0.7884
For a standard normal distribution, the value of [tex]P(Z\geq a)[/tex] will be equal to 0.2884.
What is a normal distribution?A standard normal distribution table gives the information about the probability.
The normal distribution has a mean is equal to zero and the standard deviation is equal to 1.
In this case, it is given that
[tex]P(Z\leq a)=0.7116[/tex]
Now for finding the value we have
[tex]P(Z\geq a)=1-P(Z\leq a)[/tex]
Now by putting the value
[tex]P(Z\geq a)=1-0.7116[/tex]
[tex]P(Z\geq a)=0.2884[/tex]
Thus for a standard normal distribution, the value of [tex]P(Z\geq a)[/tex] will be equal to 0.2884.
To know more about Normal distribution follow
https://brainly.com/question/4079902
Answer:
B
Step-by-step explanation:
on edge
Use Table A-3 to find the range of values for the P-value of a two-tailed test with n = 33 and a test statistic of t= 1.811.
0.05 < P-value <0.10
0.025 < P-value < 0.05
0.02 < P-value < 0.05
0.10 < P-value < 0.20
For a P-value of a two-tailed test with n = 33 and a test statistic of t= 1.811, the range of values is mathematically given as
0.10 < P-value < 0.20, Option D is correct
What is the range of values?Question Parameter(s):
n=33
Test statistics=t=1.811
Generally, the equation for the right tailed p-value is mathematically given as
pt(1.811, df=32, lower.tail=F)
[x] 0.010108
In conclusion,The p value
P value=0.0100
Therefore
0.10 < P-value < 0.20
Read more about Arithmetic
https://brainly.com/question/22568180
all whole numbers are natural nummbers
Answer:
it starts from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on. But all whole numbers are not natural numbers.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
( -3, -5)
step-by-step explanation:
original coordinates of C: (0, -7)translation vertically means change in y axis
translation horizontally means change in x axis
solve:
( 0 -3, -7 + 2)
( -3, -5)
Anna spent $15.50 for child care on Monday, $22.50 on Tuesday, and $21.00 on Wednesday. How much did she spend on child care for these three days?
Answer:
15.50+22.50+21.00 = 59.00
=$59.00
how do you multiply fractions easily?
Answer:
To multiply two fractions, just do the following: Multiply the two numerators (top numbers) to get the numerator of the answer; multiply the two denominators (bottom numbers) to get the denominator of the answer.
An investment of $4000 doubles in value every decade. How much is the investment worth after 30 years?
Answer: 120,000
Step-by-step explanation: its right :0
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
f(x) = 270,000(1.07)^x
$330,761.61
Step-by-step explanation:
Exponential growth is pretty simple:
f(x) = 270,000(1.07)^x
, where x is the number of years
To find sales after 3 years, substitute 3 for x:
f(x) = 270,000(1.07)^3
f(x) = 270,000(1.225043)
f(x) = $330,761.61
Answer:
1. [tex]y=270000(1.07)^x[/tex]
2. $330,761.61
Step-by-step explanation:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor) in decimal formx is the independent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
Also [tex]b\neq 1[/tex]
Given:
a = $270,000b = 1 + 7% = 107% = 107/100 = 1.07[tex]\implies y=270000(1.07)^x[/tex]
(where [tex]x[/tex] is the number of years, and [tex]y[/tex] is the annual sales in dollars)
When [tex]x=3[/tex]:
[tex]\implies y=270000(1.07)^3[/tex]
[tex]\implies y=330761.61[/tex]
please help me out and try to explain to the best of your ability :)
Answer:
d = 2
Step-by-step explanation:
A = πr²
2r = d
Step 1: Define
A = π
Step 2: Find r
π = πr²
1 = r²
r = 1
Step 3: Find d
2(1) = d
d = 2