Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
This year, there were 25% fewer sunny days than last year. That’s my question.
If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.
let f(x)=2x and g(x)=x-4, what is the range of (f o g)(x)?
a. y>0
b. all real numbers except y=0
c. y <= 0
d. all real numbers
Answer:
c
Step-by-step explanation:
Answer:the answer is c
Step-by-step explanation:
What is X? 3(4x−3)= -4+7
Step-by-step explanation:
[tex]3(4x - 3) = - 4 + 7[/tex]
Expand :
[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]
Simplify : Add values
[tex]12x - 9 = 3[/tex]
Collect like terms and simplify
[tex]12x = 3 + 9 \\ 12x = 12[/tex]
Divide both sides of the equation by 12
[tex] \frac{12x}{12} = \frac{12}{12} [/tex]
Simplify
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
Hope I helped :)
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9/25 plz help me on math i need to pass
Answer:
1) x=2
2) n=0
3) x=-7
4) a=0
5) m=-1
6) p=1
7) p=-6
8) r=3
9) x=-4
10) x=0
Olivia started her banking account with $100 and is increasing the account $20 per month. Which function is correct?
f(x) = 100 + |20x|
f(x) = 20x + 100
f(x) = 100x; f(x) = 20x; f(x) = x
None of the choices are correct
Fatima invests a total of $29,000 in two accounts. The first account earned a rate of return of 11%. However, the second account suffered a 7% loss in the same period. At the end of one year, the total of money gained was $1,570.00. How much was invested into each account?
Step-by-step explanation:
given data:
gained = $1,570
amount invested = $29,000
0.11x – 0.07( $29,000 – x ) = 1540
0.11x – ( 2030 – 0.07x ) = 1540
0.11x + 0.07 = 1540 +2030
0.18x = 3570
divide both sides by 0.18
x = 19833.33 ( amount invested at 11%.
$29,000 – 19833.33
= $9166.7 ( amount invested at 7%)
the water park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 10 vans and 8 buses with 472 students. High School B rented and filled 9 vans and 8 buses
with 456 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Sort the steps in order to solve this system of equations.
Answer:
The sorted steps are;
1) Write the equations: 10·x + 8·y = 472 and 9·x + 8·y = 456
2) Multiply to get one variable to eliminate: -90·x - 72·y = -4248 and 90·x + 80·y = 4560
3) Eliminate x's: 8·y = 312
4) Solve for y: y = 39 (39 buses)
5)Plug back in to find x: 10·x + 8·(39) = 472
6) Solve for x: x = 16 (16 vans)
Step-by-step explanation:
Let x = The number of students in each van and y = The number of students in each bus
We have;
For High School A;
10·x + 8·y = 472...(1)
For High School B;
9·x + 8·y = 456...(2)
Multiply equation (1) by (-9) and equation (2) by 10 to get
(10·x + 8·y) × (-9) = 472 × (-9)
-90·x -72·y = -4,248...(3)
9·x + 8·y × (10)= 456 × (10)
90·x + 80·y = 4,560...(4)
Add equation (3) to (4) gives;
-90·x -72·y + 90·x + 80·y = -4,248 + 4,560
90·x - 90·x -72·y + 80·y = -4,248 + 4,560
8·y = 312
y = 312/8 = 39
y = 39
Substituting the value of y in equation (1), gives;
10·x + 8·y = 10·x + 8 × 39 = 472
10·x + 312 = 472
10·x = 472 - 312 = 160
10·x = 160
x = 160/10 = 16
x = 16
The number of students in each van = x = 16 students
The number of students in each bus = y = 39 students.
k(x) = (x + 1)2 – 25
What would this be rewritten in factored form?
Answer:
[tex]k(x)=(x-4)(x+6)[/tex]
Step-by-step explanation:
[tex]k(x)=(x+1)^2-25\\\\[/tex]
to factorize it you have to remember the difference of squares that says
[tex]a^2-b^2=(a-b)(a+b)[/tex]
so we have
[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]
and we apply the formula
[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]
so there you have it
[tex]k(x)=(x-4)(x+6)[/tex]
3(7 + x) verbal expression
Answer:
21+3x
Step-by-step explanation:
multiply the 3 by everything inside the parentheses
I have 4 and 11/12 . how much do i need to add to get 6 and 1/2
Answer:
= 1 7/12
Step-by-step explanation:
6 1/2 - 4 11/12 =
6 6/12 - 4 11/12 =
5 18/12 - 4 11/12 =
=1 7/12
To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12
4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2
Hope this helps and pls do mark me brainliest if you can:)
banana cheese salad with cheese on top
Step-by-step explanation:
question is notcorrect
Answer:
[tex]x<-5[/tex]
Step-by-step explanation:
[tex]4-x<9[/tex]
Subtract 4 to both sides
[tex]x<-5[/tex]
Hope this helps and pls do mark me brainliest if you can:)
need help ASAP, failing my classes atm stuggling in math
Answer:
la respuesta es—6
esperó que te sirva
Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read.
Multiply the amount of book Robin read by 1/2.
3/4 x 1/2 = 3/8
Mark read 3/8 of the book.
Which list shows all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 8, 9, 12, 18, 36
2, 3, 4, 6, 9, 12, 18
2, 4, 6, 8, 9, 12, 18
Answer:
#1
Step-by-step explanation:
it’d be awesome if someone new the answer for number 6
Answer:
Step-by-step explanation:
3 - 2 / 0-(-4)
m= slope =1/4
y1 - Y2= m (x1- x2)
y=(1/4) x+ 3
slope intercept y=(1/4) x+3
point slope y-3=(1/4)(x-0) or y-2=(1/4)X+4
standard form (1/4) x-y= -3
Yo can someone please help me.
Answer:
44670
Step-by-step explanation:
5.67*1000+3.9*10000
a swimmer swam the 50 meter freestyle in a time of 21 seconds what was his speed to the nearest tenth of a meter per second PLEASE HELP
Answer:
2.4
Step-by-step explanation:
50/21=2.380.....
2.38
2.4
Answer:
50/21 or 2 8/21 meters per second
Step-by-step explanation:
Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer
What is 65% of 186. Round to the nearest tenth if necessary
Answer:
120.9
Step-by-step explanation:
Pls give Brainliest!
The rent of a bowling lane is $25 for 5 minutes.
How much per minute?
Answer:
5 dollars
Step-by-step explanation:
THANKS FOR EVERYBODY HELPING ME I WILL GIVE FREE ROBUX
Answer:
6 times
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
add me on discord fun54658#0871
whats the mode 40 41 41 44 44 37 38 42 41 39 44 39 37 44 42
Answer:
44
Step-by-step explanation:
The mode is the number that appears most of the time, so it is 44.
any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer
Answer:
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
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Thank You!!
Aubrey's dinner cost $85 She tips the waitstaff 30% for excellent service
Answer:
The total amount she paid would be $105.50.
Answer:
25.5 is the tip -- 110.50 is the total bill.
Step-by-step explanation:
You would calculate .30 (move the decimal over twice to switch from a percentage to a decimale) multiplied with 85 and this gives you 25.5.
85 * .3 = 25.5
Depending on the rest of the question, I added the tip to the amount of the dinner cost to obtain the total bill. You will need to see what the rest of the question is in order to verify which answer you are looking for.
The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.
(a) Find the mean number of registered vehicles per California household.
Answer:
____vehicles
(b) Find the median number of registered vehicles per California household.
Answer:
___vehicles
Answer:
1). Mean = 2.275
2). Median = 2 vehicles
Step-by-step explanation:
From the given table,
Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.
0 11 0 11
1 52 52 63
2 66 132 129
3 35 105 164
4 19 76 183
5 12 60 195
6 5 30 200
[tex]\sum (f\times x) = 455[/tex]
Number of households = 200
Mean = [tex]\sum \frac{f.x}{n}[/tex]
= [tex]\frac{455}{200}[/tex]
= 2.275
Median = value of [tex]\frac{(n+1)}{2}th[/tex] observation
= value of [tex]\frac{201}{2}th[/tex] observation
= Value of 100.5th observation
= Since 100.5th observation lies in the row of cumulative freq. = 129
= 2
Therefore, median number of registered vehicles per California household
= 2 vehicles
I need Help! I have 2 questions.
Answer:
[tex]g=\frac{2m+b}{k}[/tex] ⇒ 2nd answer
[tex]x=\frac{c}{(a+b)}[/tex] ⇒ 1st answer
Step-by-step explanation:
To solve any equation for one of its variable do that:
Separate the variable on one side and the other terms on the other sideMake the coefficient of the variable = 1∵ [tex]\frac{2m+b}{g}=k[/tex]
→ Multiply both sides by g to take g to the right side
∴ [tex]\frac{(2m+b)(g)}{g}=k(g)[/tex]
∴ 2m + b = kg
→ Divide both sides by k, to move k to the left side
∵ [tex]\frac{2m+b}{k}=\frac{kg}{k}[/tex]
∴ [tex]\frac{2m+b}{k}=g[/tex]
→ Switch the two sides
∴ [tex]g=\frac{2m+b}{k}[/tex]
∵ ax + bx = c
→ Take x as a common factor from the both terms on the left side
∴ x(a + b) = c
→ Divide both sides by (a + b) to move it to the right sides
∴ [tex]\frac{x(a+b)}{(a+b)}=\frac{c}{(a+b)}[/tex]
∴ [tex]x=\frac{c}{(a+b)}[/tex]
What’s is the absolute value of -6? use the number line to help answer the question.
Please help I’ll mark you brainliest and give you a good rating!
Answer:
6
Step-by-step explanation:
So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.
Answer:
C (6)
Step-by-step explanation:
The absolute value of -6 is 6 since it's 6 spots away from the 0 on the number line
Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=16.
Answer:
Y=16x+86
Step-by-step explanation:
show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7
Answer:
The point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Step-by-step explanation:
Function of graph : f(x)
Rule : f(x)→f(x-c)
When the graph shifts to right by c units
Coordinates (x,y)→(x+c,y)
Rule : f(x)→f(x)+c
When the graph shifts up by c units
Coordinates (x,y)→(x,y+c)
So, Graph f(x-2)+7
Now given graph f(x)
Shift this right by 2 units and then shift up by 7 units
So, f(x)→ f(x-2)+7
Now , Translation of point(4,5)
Using rule :
When shift by 2 units right
(4,5) →(4+2,5)=(6,5)
Now shift up by 7 units
(6,5) →(6,5+7)=(6,12)
So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Which of the following can x be equal to? –1 1 –2 3
plss help
Answer:
-2 I think hopefully that is right
Answer:
-2 and 3
Step-by-step explanation:
edge2020
A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The position of the emitter is [tex]E = + 72.9 \ cm\ from\ the\ center [/tex]
The position of the stone is [tex]S = - 72.9 \ cm\ from\ the\ center [/tex]
Step-by-step explanation:
From the question we are told that
The length is l = 178 cm
The width is w = 102 cm
Generally the position of the stone along the horizontal axis is mathematically evaluated as
[tex]h = \frac{178}{2}[/tex]
=> [tex]h = 89 \ cm [/tex]
Generally the position of the emitter along the vertical axis is mathematically evaluated as
[tex]k = \frac{102}{2}[/tex]
=> [tex]k = 51 \ cm [/tex]
Generally the resultant position of both stone and the emitter is
[tex]R = \pm \sqrt{h^ 2 - k^2}[/tex]
=> [tex]R = \pm \sqrt{89^ 2 - 51^2}[/tex]
=> [tex]R = \pm 72.9 \ cm [/tex]
Hence the position of the emitter is [tex]E = + 72.9 \ cm[/tex]
the position of the stone is [tex]S = - 72.9 \ cm[/tex]