Answer:
3 and 9
Step-by-step explanation:
let Peter's age be x then James is x + 6
The average of their ages is twice Peter's age, that is
[tex]\frac{x+x+6}{2}[/tex] = 2x
[tex]\frac{2x+6}{2}[/tex] = 2x
x + 3 = 2x ( subtract x from both sides )
3 = x
Then Peter is 3 years old and James is x + 6 = 3 + 6 = 9 years old
How manys are in 1? The hexagon represents 1 whole. Explain or show your reasoning.
Answer: True
Step-by-step explanation: The rhombuses represent 1/3. You have 4 rhombuses which are equal to 4 times 1/3. You would get the answer 1 and 1/3 because 4 times 1/3= 1 and 1/3
I need d and e and Pprly c because I guessed on c
Answer:
b. Slope: 125/2
Point-slope form:
y-400 = 125/2(x-8)
y = 125/2+392
e. 767 consumers
Step-by-step explanation:
b. The slope is 125/2
Point-slope form:
Slope: 125/2 and point (8,400)
y-y=m(x-x)
Point slope form:
y-400=125/2(x-8)
y = 125/2 x + 392
y = (125/2)(6) + 392
y = 767
12 4 + 2 X 3 Evaluate 2 O A) 11 OB) 13 OC) 20 OD) 27
4 + 2 · 3² = 4 + 2 · 9 = 4 + 18 = 22
22 : 2 = 11
Answer → A)
Find the domain and range of the functions below
Step-by-step explanation:
So let classify each function.
38 is a quadratic because it has a leading variable raised to the 2nd degree.
Quadratics always accept all x values positive or negative so the domain
All Real Numbers, (- ♾,♾)Quadratics lowest range is it vertex. The vertex of a typically quadratic is 0 because when we have the function
[tex] {x}^{2} [/tex]
we have no value after it so 0 is the lowest number.
However we have
[tex] {x}^{2} - 9[/tex]
So this means that our lowest value will be -9.
We include that point as well. The leading coeffceint is positive so it approach infinity so the range is
[-9,♾),39 is a square root function because it has the square root symbol. Remeber that we can't take the square root of a negative number i.e( we can but it isn't graphable on a Cartesian plane). So this means x has to be greater than or equal to zero. We can take the square root of 0.
So set the equation inside the radical equal to zero.
[tex]x - 4 = 0[/tex]
[tex]x = 4[/tex]
So this means the domain is
[4,♾)In a square root function, we restrict our domain to only positive number so the range is
[0,♾)
If 4/5 of the population of a certain town is
considered to be middle class and the population
of the town is 2,000, how many people are
considered middle class?
Hi! I'm happy to help!
Our town is composed of 2,000 people. Of those 2,000 people, 4/5 of them are middle class. The word 'of' usually means multiplication when it is in a word problem. So, we will multiply 2,000 by 4/5. When multiplying a whole number, we just multiply it by the numerator (top) and leave the denominator. (bottom)
2,000×4
8,000
8,000/5
Fractions are just a different way of putting division, so we can change this to a division problem:
8,000÷5=
1,600
1,600 of the people are middle class.
I hope this was helpful, keep learning! :D
PLEASE HELP!!! How does the multiplicity of a zero affect the graph of the polynomial function?
9514 1404 393
Answer:
2, 4, 61crossStep-by-step explanation:
Consider a zero at x=1.
If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.
When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.
This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.
If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.
__
For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.
It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).
_____
Additional comment
You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.
Given y = x + 1 Calculate y if x = 3. y is a natural number
Answer:
y = 4
Step-by-step explanation:
If 3 is x than you can substitute x for 3. y = 3 + 1. Then when you add y = 4
y = x+1
y = 3+1
y= 4
that's how you solve it... Good luck
Last one I promise peeps
Answer:
Ello mate, the answer to your question/problem is "J"
Step-by-step explanation: Look at image provided below :)
Answer:
J
Step-by-step explanation:
8/9 equals 0.888... not 0.875
is -6.75 a whole number integer or rational number?
Answer:
I'm pretty sure it's rational.
Sorry if I'm wrong.
Graph the line that passes through the points (8,0) and (2,6) and determine the
equation of the line.
Answer:
y= -x+ 8
Step-by-step explanation:
on june 14 you make a mobile deposit of your paycheck which is for $1,235.18 what is the answer
Answer:
wow i suck at math hope someone helps you out
Step-by-step explanation:
help just answer youll get 100 just answer all the questions
for the first question, you get 576
for the second one you get 0.1875
How do you verify this trig identity?
Step-by-step explanation:
[tex] \frac{ \sin(x) \csc(x) }{ \cot(x) } [/tex]
Rewrite csc(x) in terms of sin
[tex] \frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) } [/tex]
Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.
[tex] \frac{1}{ \cot(x) } [/tex]
Notice that cotangent and tan are reciprocal so
[tex] \tan(x) = \tan(x) [/tex]
Answer:
Step-by-step explanation:
\frac{ \sin(x) \csc(x) }{ \cot(x) }
cot(x)
sin(x)csc(x)
Rewrite csc(x) in terms of sin
\frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) }
cot(x)
sin(x)
sin(x)
1
Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.
\frac{1}{ \cot(x) }
cot(x)
1
Notice that cotangent and tan are reciprocal so
\tan(x) = \tan(x)tan(x)=tan(x)
Please Help!!
Find the slope of the line
Answer:
Slope = -3
Step-by-step explanation:
Answer:
Slope is -3
Step-by-step explanation:
Find two points on the graph where the line hits both corners of the graph first. ( The line has to go through a corner )
Two points on the graph: ( -2,6 ) and ( 2, -6 )
The first values are X-values ( -2, 2 ) It does left to right
The second values are Y-values ( 6,-6 ) It goes up and down
So to find the slope of a line you get two points and you do this formula
( y2-y1 ) / ( x2-x1 )
So that means
( -6 - 6 )
------------- = -12
( 2 - -2 ) -------
4
-12 / 4 = -3
Question 6
1 pts
Write the equation of a line through (-5,-5), parallel to y=
Oy=
- 1
O y=-x+4
O y=4x-1
O y=-x-1
Question 7
1 pts
Answer:
first one
[tex]y=\frac{4}{5}x-1[/tex]
Step-by-step explanation:
It's the same as the given function, just with a 1 unit shift downward.
the postage to mail a letter that weighs 0.4 o will cost $_? (type an integer or a decimal)
9514 1404 393
Answer:
$0.42
Step-by-step explanation:
Look at the function definition to see which part applies when x = 0.4. It will be the first part, which is defined for 0 < x < 1. That part tells you the postage for 0.4 oz is $0.42.
(Calc 1) Need help understanding this graph pls I tried to do it but it was wrong
What is 125% of 3600?
Answer:
4500
Step-by-step explanation:
3600 is 100 percent so divide it by 4 to get the 25% which is 900. add them together and you get 4500
[tex]125\% \: \: \: of \: \: \: 3600 \\ = \frac{125}{100} \times 3600 \\ = 125 \times 36 \\ = 4500[/tex]
The answer is 4500.Please help me!!!!!!
The answer is A
Step-by-step explanation:
hope it helps!!
Answer:
A
........................................
Step-by-step explanation:
The measure of an angle is 44 degrees. What is the measure of its complementary angle?
Answer:
I think the measure of its complementary angle is 46 because 44 + 46 = 90 and a complementary angle should equal 90 degrees.
Step-by-step explanation:
PLS HELPP ITS URGENT
Find the missing angle and name the other three given angle.
PQR=___
Name:___________
________________
________________
Answer:
Step-by-step explanation:
The angles between the parallel sides add up to 180 degrees.
So 180-70 = 110 degrees.
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
Let,
The unknown angle measure be x°.
We know that,
Sum of all angles of a Quadrilateral measures 360°.
So,
⇒∠QPR + ∠PSR + ∠SRQ + ∠RQP = 360°
⇒ 120° + 60° + 70° + x° = 360°
⇒ 180° + 70° + x° = 360°
⇒ 250° + x° = 360°
⇒ x° = 360° - 250°
⇒ x° = 110°
Therefore, the names of the angles & their values will be,
⇒∠QPR = 120°
⇒∠PSR = 60°
⇒∠SRQ = 70°
⇒∠RQP = 110°
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
What is the expanded form of 25,900
Sue collected 98 empty cans to recycle, and Jean collected 82 cans. They packed an equal number of cans into each of three boxes to take to the recycling center. How many cans were in each box?
whit operation pls
Answer:
125
Step-by-step explanation:
may i have brainliest
Answer:
60 cans. 98 + 82 = 180. 180/3 = 60. hope this helps
Step-by-step explanation:
- Zombie
last this help me to find answer
Step-by-step explanation:
mark me as brainliest ❤️
Evaluate the expression x²+yz for x=-3, y=5, and z=2
Answer:
I think that the answer is 19.
Step-by-step explanation:
Writing out the problem
x²+yz
Substituting the given values of the variables
(-3)²+(5)(2)
Simplifying (-3)², which is 9
9+(5)(2)
5 times 2 equals 10
9+10
19
I hope this helped you. Enjoy your day, and take care :)
What had the biggest effect on the earths orbit about the sun , explain.
Answer:
The Earth's orbit makes a circle around the sun. At the same time the earth orbits around the sun, it also spins. In science, we cal that rotating on its axis. Since the earth orbits the sun AND rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.
There are five questions listed below. Each question includes the quantity 43. Match the 43 in each question on the left to
which part of the problem it represents on the right -- the base, percent, or amount. Some answer options on the right will
be used more than once.
Answer:
Step-by-step explanation:
What number is 15% of 43?
6.45, or 6 if u round to the nearest whole number
43% of 300 is what number?
129
12% of what number is 43?
359
43 is what percent of 106?
40.6% or 41% when rounded
What percent of 43 is 6?
14%
The answers of questions which includes the quantity 43 is 6.45 , 129 , 5.16 , 40.56 % and 13.95% respectively .
What is percentage?The symbol (%) is used to denote percentage. Similarly, percentage is sometimes denoted by an abbreviation 'pct. ' For example, we can express 50 percent as 50% or 50 pct. Percentages are written inform whole numbers, fractions or decimals. For example, 4%, 75%, 0.6%, 0.25%, 3/5% etc.
According to the question
Each question includes the quantity 43 .
A. Number that is 15% of 43 :
15% of 43
= [tex]\frac{15}{100} * 43[/tex]
= 6.45
B. 43% of 300 is what number
43% of 300
= [tex]\frac{43}{100} * 300[/tex]
= 43 * 3
= 129
C. 12% of what number is 43?
12% of 43
= [tex]\frac{12}{100} * 43[/tex]
= 5.16
D. 43 is what percent of 106?
Let percent be x
i.e
106 * x% = 43
[tex]1.06x = 43[/tex]
x = 40.56%
E. What percent of 43 is 6?
Let percent be x
i.e
43 * x% = 6
0.43x = 6
x = 13.95 %
Hence, The answers of questions which includes the quantity 43 is 6.45 , 129 , 5.16 , 40.56 % and 13.95% respectively .
To know more about percentage here:
https://brainly.com/question/24159063
#SPJ2
What is the value of x?
Enter your answer in the box.
Answer:
angels on a triangle = 180°
so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)
and that's your answer
Which of the following are rational numbers? Select three that apply.
Answer:
[tex] \sqrt{4} \sqrt{8} \sqrt{1} [/tex]
Step-by-step explanation:
it is because those are even number
Please help me with this problem thank you
9514 1404 393
Answer:
a) slope = -765 jobs per year
b) j = -765y +1582855 . . . . jobs in year y
c) 38,320 jobs in 2019
Step-by-step explanation:
a) We can define the variables y and j to represent the year number and the number of jobs, respectively. Then we are given 2 points:
(y, j) = (2012, 43675) and (2017, 39850)
The slope of the relation is ...
m = Δj/Δy = (39850 -43675)/(2017 -2012) = -3825/5 = -765
__
b) Using the point-slope form of the equation of a line, we can model the relation between years and jobs as ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
For m = -765 and (h, k) = (2012, 43675), the model gives ...
j -43675 = -765(y -2012)
j = -765y +1582855 . . . . . . . rearrange to slope-intercept form
__
c) For y = 2019, the number of jobs is modeled to be ...
j = -765(2019) +1582855 = -1544535 +1582855
j = 38,320 . . . . . jobs in 2019
_____
Additional comment
Quite often for problems of this sort, we let the time variable represent "years after <some reference year>". Here, it would be convenient to use 2012 as the reference year. The the equation would be j = -765y +43675, and the "j-intercept" would have the sensible value of 43675 at "year 0" (or 2012).
The equation we show is technically correct, but has no meaning for year values less than 2012. Especially, we know for sure there were not 1.6 million jobs in information in Indiana at the beginning of the Common Era. Indiana didn't exist until 1816.