Answer:
f(x) = -2x+6
Step-by-step explanation:
Given the equation 10x+5y=30, in order to write as a function form, we need to make y the subject of the formula from the given function as shown;
10x+5y=30
Subtract 10x from both sides
10x+5y - 10x= - 10x+30
5y = -10x + 30
Divide through by 5
5y/5 = -10x/5 + 30/5
y = -2x + 6
Hence the required equation in function form is f(x) = -2x+6
Guided Practice
THE ANSWER IS NOT LETTER A
Write the equation in standard form using integers.
y = 4x – 7
A.
4x – y = –7
B.
4x + y = 7
C.
4x – y = 7
Answer:
C.
4x – y = 7
Step-by-step explanation:
Write in standard form.
4
x
−
y
=
7
y
=
4
x
−
7
The standard form of a linear equation is
A
x
+
B
y
=
C
.
Rewrite the equation with the sides flipped.
4
x
−
7
=
y
Move all terms containing variables to the left side of the equation.
Tap for more steps...
4
x
−
y
−
7
=
0
Add
7
to both sides of the equation.
4
x
−
y
=
7
variable
A letter used to represent a number value in an expression or an equation.
equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
Which expression is equivalent to 2-2 x 22?
Answer:
-42
Step-by-step explanation:
Following Order of Operations, we have to multiply before subtracting, so
[tex]2-2*22[/tex]
[tex]=2-44[/tex]
[tex]=-42[/tex]
Using order of operations, we get -42.
a new oven is $1,500. the sales tax is 6.2%. what is the total cost of the oven including sales tax.
a.1500
b.1593
c.1693
d.1893
Answer:
B
Step-by-step explanation:
Answer:
B.1593
Step-by-step explanation:
Find the measurement indicated in each parallelogram.
No links
Answer:
D
Step-by-step explanation:
QG=GS
x+5=2x-2
x=7
QG=7+5=12
What are the aptitude, period, and midline of the function?
Please take your time but I really need anyone's help!!!!
Answer:
C) 5 3√2
Step-by-step explanation:
Answer:
I think a
Step-by-step explanation:
A school's fall fundraiser raised money for new laptops and tablets for the school. The totals for the 7th-grade homerooms are shown in the table below. The mean of the data is $685.42 and the median is $635.00. Which measure, the mean or the median, is a better measure of the central tendency of the data, and why?
Answer:
It is The median, because there is an outlier that is significantly higher than the rest of the data, and it raises the mean above the center of the data, making the mean a poor choice, and the median a better choice
Step-by-step explanation:
1575 is the outlier causing the median to be the best
James has decided to start saving for a cruise over the summer. His money is
currently in the local bank, modeled by the function s(x) = 102. He is able to do work
around the neighborhood to earn extra money and that function would be a(x) = 8
+ 2), where x is measured in hours. Explain to James how he can create a function
that combines the two, and describe any simplification that can be done.
EXPLAIN IN COMPLETE SENTENCES
Answer:
f(x)=8x +118
Step-by-step explanation:
Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick
Answer:
yes
Step-by-step explanation:
side 5 and side 12 where the angle is you can form a square in the corner
PLEASE HELP WILL MARK BRAINLIESTTTT
Answer:
470 [tex]cm^{3}[/tex]
Step-by-step explanation:
8x9x10 = 720
5x5x10 = 250
720-420 = 470
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Step-by-step explanation:
the solution is self explanatory
what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%
13. Randomly selected nonfatal occupational injuries and illnesses are categorized according to the day of week that they first occurred, and the results are listed below. Use a .05 significance level and that such injuries and illnesses occur with equal frequency on the weekend. State the null and alternative hypotheses, the pvalue, and conclusion. Day Fri Sat Sun Number 21 19 10
Answer:
Part A
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Part B
P-value from;
Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9
Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]
The significance level, α = 0.05
Part A
The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]
We get;
[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]
The chi-square test statistics
[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12
The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991
The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis
Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05
Part B
From the chi-square table, we have the p-value at 2 degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1
Using the chi-square calculator, we have;
P([tex]\chi^2[/tex] < 4.12) = 0.87.
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
You live in a small apartment. The bedroom is 10 by 12 feet. Calculate the area of your bedroom.
a 100 sq.ft
C. 80 sq.ft
b. 120 sq.ft
d. 70 sq.ft
Please select the best answer from the choices provided.
Answer:
The is answer is 120sq. ft.
Step-by-step explanation:
To find the area mulitply 10 by 12 and you get 120.
What is the difference of the polynomials?
52 +42-62-22-9)
0 -3-62-9
O ---282-9
052-22-24-9
5-22 2x + 9
Answer:
In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Solberg's polynomials, and the Stirling interpolation polynomials as special cases.
Step-by-step explanation:
In a group of 200 students, 75 are taking Geometry, 135 are taking IPC and 35 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC?
a) 0.175
b) 0.167
c) 0.259
d) 0.467
The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a
frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000
kilohertz? Round your answer to the nearest meter
Answer:
50 m
Step-by-step explanation:
If d=the number of dogs, which variable expression represents the phrase below?
The sum of the number of the dogs and 6 cats
Answer:
6 + d =
Step-by-step explanation:
Sum means the expression is using addition
Sum of dogs and 6 cats = 6 + d
Christian has a bag that contains orange chews, strawberry chews, and peach chews.
He performs an experiment. Christian randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Christian performs the
experiment 43 times. The results are shown below:
An orange chew was selected 23 times.
A strawberry chew was selected 6 times.
A peach chew was selected 14 times.
Based on these results, express the probability that the next chew Christian removes
from the bag will be strawberry chew as a fraction in simplest form.
Answer:
Step-by-step explanation:
21
Answer:
Step-by-step explanation:
Answer this question to get marked as brainliest!!!!
Answer:
1/8
Step-by-step explanation:
2^-3
1/2^3
1/8
1/8
[tex] \mathtt \green{Hope \: it \: helps \: uh }[/tex]
i need help with this please
Answer:
650 cm²
Step-by-step explanation:
Use the formula 2(lw+wh+lh)
Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²
And there you go!
Please mark brainliest!
Please help. I will mark brainliest if I can. ASAP I need help.
Answer:
y= -x+5
Step-by-step explanation:
you can decide whether or not to put a 1 in front of the x, but i don't think it's necessary
i hope this helps :)
Ben needs to read 450 pages of his book for school. If he has five days to finish, how many pages should he read each day?
Answer: 90
Step-by-step explanation:
450/5 or 450 divided by 5
you can work this out by figuring out 45/5 which is 9
so 450/5 equals 90
he should read 90 pages per day
Answer:
90
Step-by-step explanation:
Because if you divide the pages into the 5 day it would be 90
450 divide by 5 = 90
My teacher made up the name big kahuna to make it easier to mesmerize the name but I’m not sure what the identity of this Pythagorean is. It relates to trig proofs.
Answer:
The Pythagorean Theorem leads to a simple proof of the Pythagorean Identity using only the basic definitions of trig functions. The Pythagorean Theorem on a right triangle with legs a,b and hypotenuse c gives us: a2+b2=c2. Dividing through by c2 gives: (ac)2+(bc)2=1.
Answer:
Pretty sure your teacher means sin²x+cos²x=1
Step-by-step explanation:
There's the Pythagorean identity sin²x+cos²x=1 if that's what you mean
Write the equation in standard form for the circle with radius 4 centered at the origin
Answer:
common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.
Answer:
x² + y² = 16
Step-by-step explanation:
We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,
=> ( x - h)² + (y -k)² = r²
=> ( x -0)² + (y-0)² = 4²
=> x² + y² = 16 .
• Hence the equation of the circle is x² + y² = 16.
Round your answer to the nearest hundredth
Answer:
2.30
Step-by-step explanation:
sin=opposite/hypotenuse
sin50=BC/3
BC=3sin50
BC=2.298≈2.30
Factor the expression:
12x - 60
Answer: 12(x-5)
Step-by-step explanation:
Andrew drives through 5 intersections with stoplights on his way to work. He
records that he is stopped by a red light in 2 of the 5 intersections. If he uses
this as his general probability of getting stopped at a red light on his way to or
from work, how many times can he expect to be stopped at a red light over the
next 40 times he drives through an intersection on his route?
Andrew should expect to be stopped
times.
Answer:
16 times
Step-by-step explanation:
2 out of 5 is 40%
40 x 40% = 16
Answer: 16 times
Step-by-step explanation:
Carla is practicing her land surveying skills at her college campus. She knows the famous "triangle courtyard," shown in the figure below, has an area of 2,600 m2.
Using her surveying tools, she finds AB = 80 m and m∠BAC = 36.2°.What is the approximate length of AC?
A.
117.83 m
B.
80.45 m
C.
110.06 m
D.
98.31 m