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
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.
What is 4x + 7 will give brainliest.
Answer:
11x
Step-by-step explanation:
math
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
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)
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.
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:
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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.
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.
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
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]
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
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
ab = 6 BC= 12 what is the lenghth of ac
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
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
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 .
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.
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Answer:
B
Step-by-step explanation:
on edge
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
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.
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
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:
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
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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]
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.
This is pretty simple but I have no idea lol thanks
Answer:
cubic function
Step-by-step explanation:
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
Please look at the picture.
Answer:
the second one
Step-by-step explanation:
what is supplementary angle of LGC
Answer:
your answer attached above
hope it helps.
:DD
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!
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