Step-by-step explanation:
the line passes through (0,-2) and perpendicular to the graph of y=5x+7.
solution :
the slope = -1/5
the equation :
y+2 = -1/5 (x-0)
y = -1/5x - 2
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Hello, below I have a screenshot of the question I need to be answered in particular. I would also like to have an explanation as to how you got the answers you did please. I will move on to try other questions whilst I wait, to see if I may be able to do something different without getting stuck again. Thank you for your time and I hope you have/had a good day(or night)!
y=-2x(squared)+3x-7
the 2x is squared
hope that helped
Help plsssssssssssssssssssssssssssssssssssssssssss
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increase in x results in the decrease in y
Answer:
• Decrease in x results in the increase in y
• Increase in x results in the decrease in y
The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .
A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.
There are several ways the door can be locked, these ways illustrate combination.
There are 3375 possible combinations
From the question, we have:
[tex]\mathbf{n = 5}[/tex] --- the number of digits
[tex]\mathbf{r = 3}[/tex] ---- the number of actions
Each of the three actions can either be:
Pressing one buttonPressing a pair of buttonsThe number of ways of pressing a button is:
[tex]\mathbf{n_1 = ^5C_1}[/tex]
Apply combination formula
[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]
[tex]\mathbf{n_1 = 5}[/tex]
The number of ways of pressing a pair is:
[tex]\mathbf{n_2 = ^5C_2}[/tex]
Apply combination formula
[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]
[tex]\mathbf{n_2 = 10}[/tex]
So, the number of ways of performing one action is:
[tex]\mathbf{n =n_1 + n_2}[/tex]
[tex]\mathbf{n =5 + 10}[/tex]
[tex]\mathbf{n =15}[/tex]
For the three actions, the number of ways is:
[tex]\mathbf{Action = n^3}[/tex]
[tex]\mathbf{Action = 15^3}[/tex]
[tex]\mathbf{Action = 3375}[/tex]
Hence, there are 3375 possible combinations
Read more about permutation and combination at:
https://brainly.com/question/4546043
Multiply out and simplify:
3(X-3) + 2(x-5)
Answer:
5x-19
Step-by-step explanation:
distribute first
3x-9+2x-10
add like terms
5x-19
One example of a mathematical model is an equation that describes the relationship between two quantities.
a. True
b. False
Answer:
True
Step-by-step explanation:
Linear equations are often used to model the relationship between the dependent variable that is affected by changes in the independent variable.
For instance, the linear function: f(x) = 2x + 3, where f(x) is the output (dependent variable) depends on the value of the input, x (independent variable).
Therefore, the correct answer is True.
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit
Answer:
13 sessions
The cost for either plan: $675
Step-by-step explanation:
48x + 51 = 49x + 38
51 - 38 = 49x - 48x
13 = x
Make a the subject of the formula where a is positive: a 6(a - 4b) = 2ac + 4d
Answer:
[tex]{ \tt{6(a - 4b) = 2ac + 4d}} \\ \\ { \tt{6a - 24b = 2ac + 4d}} \\ \\ { \tt{6a - 2ac = 4d + 24b}} \\ \\ { \tt{a(6 - 2c) = 4d + 24b}} \\ \\ { \boxed{ \tt{ \: a = \frac{4d + 24b}{6 - 2c} }}} \\ [/tex]
Without graphing, classify the system as independent, dependent, or inconsistent.
S x – 5 = - y
| 2y - 10 = – 21
Answer:
Step-by-step explanation
I
D
K
Sorry
find the measure of each angle indicated.
Answer:
where are the angles...........
What is the value of this expression
3'3+5∙4−(8−5∙2)2
Answer:
105?
Step-by-step explanation:
Answer:
43 just did it
Step-by-step explanation:
just did it
An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is started at 7 PM, when should the auxiliary pump be started so that the tanker is emptied by PM?
Suppose you have entered 103 -mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is26 miles per hour. You finish the race in 8 hours. What is the distance of the run? What is the distance of the bicycle race?
Answer:
so the answer will be 1
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 5 hours.
An auxilary pump can empty the tanker in 14 hours.
If the main pump is started at 7pm, when should the auxilary pump be started
so that the tanker is emptied by 11pm?
:
Let t = no. of hrs to run the Aux pump
:
The main pump will run 4 hr (7 - 11 pm)
:
Let the completed job = 1; (an empty Tanker)
:
The shared work equation
4%2F5 + t%2F14 = 1
Multiply equation by 70 to get rid of the equation, results:
14(4) + 5t = 70
56 + 5t = 70
5t = 70 - 56
5t = 14
t = 14%2F5
t = 2.8 hrs to run the aux pump
:
2.8 hr = 2 + .8(60) = 2 hrs 48 min
:
Subtract 2:48 from 11:00 = 8:12 PM start the aux pump
;
;
Check solution
4/5 + 2.8/14 =
.8 + .2 = 1
Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle, in miles per hour?
Answer:
to find the whole ratio from a part use a reciprocal (i.e for this one 1/4, it's 4)
Then wee multiply it to 2/3
2/3 x 4 = 8/3 = 2.666666666 = 2.67
8/3 or 2.67 is the answer
Step-by-step explanation:
What is w(53)is equal to
Answer:
Step-by-step explanation:
The question is slightly ambiguous. The problem is, do you find the first 40 hours using 10x and then the second equation using x >40. I don't think so, but it should be made clear. It turns out that the first 40 hours does equal 400 so that you can use the second expression with no worries.
w(53) = 15(53 - 40) + 400
w(53) = 15(13) + 400
w(53) = 195 + 400
w(53) = 595
George walked 6 miles in 2 hours
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
I don't know.
Answer:
b) 3 miles per hour
Step-by-step explanation:
If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.
6 ÷ 2 = 3.
The polynomial is missing the coefficient of the second and third terms. 1,000x3 + ___x2y + ___xy2 + 1,331y3 If the polynomial is factorable using the binomial theorem, what is the coefficient of x2y?
Answer:
3,300
Step-by-step explanation:
Just took the test in edg
Answer:
3300
Step-by-step explanation:
Did it on Edge.
Estimate each square root to the nearest hundredth of 32. Show your solution!
Answer:
[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]
9514 1404 393
Answer:
5.66
Step-by-step explanation:
For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...
y = √x ≈ s +r/(2s+1)
An iterative improvement on the estimate can be had by ...
y' = s + r/(s +y)
Here, this means a first estimate can be obtained as ...
32 = 5² +7 ⇒ s = 5, r = 7
√32 ≈ y1 = s +r/(2s +1) = 5 7/11
Then an iterative improvement will be ...
y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66
_____
Additional comment
The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...
p'/q' = (x·q² +p²)/(2pq)
Then our above estimate of 5 7/11 for the root of 32 would be refined to ...
p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....
Johnny is saving money to buy a Nintendo Switch. He already has $100 saved. He plans to save $20 from his allowance each week. Write the equation that represents the total savings, y, in terms of x weeks. What is Johnny's total savings after 8 weeks?
Answer:
1. y=20x+100(this is the equation)
2. 260(this is how much he has after 8 weeks)
Step-by-step explanation:
Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].
Johnny is saving money to buy a Nintendo Switch.
He already saved the amount of $100.
He plans to save from his allowance each week is $20
The equation that represents the total savings is mentioned below.
[tex]y=20x+100[/tex]
Therefore, Substitute the values and solve them further.
[tex]y= (20\times 8) + 100[/tex]
[tex]y= 260[/tex]
Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]
For more details refer to the link given below:
https://brainly.com/question/7965246
Write as a decimal: two and three-tenths =
Answer:
2.3 is ur answer
Step-by-step explanation:
Answer:
2.3
Step-by-step explanation:
the interweb said so
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
HELP ME ASAP!!!!!!!!!!
Answer:
2x - 9
Step-by-step explanation:
let the number be x then multiplying by 2 is 2x , so
2x - 9 ← algebraic expression
Answer these questions pls
1. The constant in the equation is always zero.
Proportional or Non-proportional
2. Y=2x - 4
Proportional or Non-proportional
3.jimmy plans to save $20 every week
Proportional or Non-proportional
Answer:
1. Non-proportional
2. Proportional
3. Proportional
What is the value of the expression (2 1/4 - 7 1/2) - (-1 1/4)
Answer:
-4
Step-by-step explanation:
2 1/4 - 7 1/2 = -5.25
-5.25 - (-1 1/4) = -4
Answer:
=24/142
4
=-188/4+111/4
= -7/4 ANS.
MARK ME BRAUNLIST PLZ.
x^3+10x^2+19x-30/x+6
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
I NEED HELPPP WHEN THESE!!! please can someone help
Answer:
a: 36
b: 10
c: 3.2
d: a
Step-by-step explanation:
Answer:
A = 36
B = 10
C = 3.2
D = a
Step-by-step explanation:
The square roots and power of 2s zero each other out.
Please help me solve this I am begging you
Answer:
Line 1
√7 is between √4 and √9 ⇒ Square root of all termsLine 2
√7 is between 2 and 3 ⇒ Results of the square rootsLine 3
5√7 is between 10 and 15 ⇒ Multiply all terms by 5Multiply and simplify
Answer and explanation:
1. 2 × 3/10 = 6/10 = 3/5
2. 8 × 4/8 = 32/8 = 4
3. 9 × 3/9 = 27/9 = 3
4. 12 × 2/11 = 24/11 = 2 2/11
5. 3 × 5/7 = 15/7 = 2 1/7
6. 2 × 3/5 = 6/5 = 1 1/5
7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2
8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2
9. 5 × 1/4 = 5/4 = 1 1/4
10. 11 × 2/7 = 22/7 = 3 1/7
Hope this helps!
Find the missing length in the similar triangles.
Answer:
12/4=x/3
x=9
.........
Answer: x = 9
Step-by-step explanation:
If you multiplied by 3 in the right triangle
5(3) =15
4(3) = 12
and x = 3(3) = 9
please give me a brainliest answer