[tex]y = {x}^{2} + 4x - 12[/tex]
make r the subject of the formula t=[tex]\frac{r}{r-3}[/tex]
Answer:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]\displaystyle t=\frac{r}{r-3}[/tex]
And we are asked to make r the subject of the formula.
We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:
[tex]t(r-3)=r[/tex]
Distribute:
[tex]rt-3t=r[/tex]
Subtracting rt from both sides yields:
[tex]-3t=r-rt[/tex]
Factoring:
[tex]-3t=r(1-t)[/tex]
Divide and simplify:
[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Exercice 1 Quel est le nombre 100 fois plus petit que 7 453 ? ……………………………….. Quel est le nombre 100 fois plus grand que 12,677 ? …………………………… Exercice 2 Sachant que 38 12 = 456, calculer 3800012. 3800012 = ……………………. Exercice 3 Pour chaque opération proposée dans la première colonne, cocher la case correspondant à l'ordre de grandeur du résultat. Opération 1 10 100 1 000 10 000 118 98 43,5 + 873 902 – 5,7 8 980 0,1 87,63 : 8 Exercice 4 La flèche ci-dessus indique un nombre de l'axe gradué. Quel est ce nombre : 0,20 ? 0,37 ? 0,62 ? 0,75 ? Réponse : ………….. Exercice 5 Encadrer chaque nombre proposé par deux nombres entiers consécutifs. < 7 999, 101 < < 98,6 < < 20,69 < Exercice 6 Quelle écriture ne correspond pas au nombre 7,89 ? (Entourer la bonne réponse) 78910 ; 7+810+9100 ; 3,240 + 4,65 ; 7 unités et 89 centièmes
Oceanside bike rental shop charges 11 dollars plus 6 dollars an hour for renting a bike. Joan paid 35 dollars to rent a bike . How many hours did she pay to have the biked checked out?
Answer:
4 hours
Step-by-step explanation:
grade 7. i actually already learnt this but this whole quarantine thing made me forget lolz. what are factors?
example : is 3 a factor of 372?
please answer and explain <3
Answer:
A number in a multiplication equation that makes up the total. For example,
2 x 3= 6.
2 and 3 are the factors.
Answer:
A factor is basically a number that derives from another without leaving a remainder. It sounds somewhat confusing when put into words but I'll give you some examples.
Step-by-step explanation:
in the problem you stated the answer would be yes. 3 is a factor of 372 because you can multiply 3 times another number (which in this case is 124) to get 372.
In addition, a number can have several factors. For example, these are all the factors for the number 10: 1, 2, 5, 10
notice how all these numbers multiplied by another of these same numbers on the list give you 10.
hope this helped :)
how can you use number patterns to find the least common factor
Answer:
The correct answer is: 360.
Explanation:
First we can express 120 as follows:
2 * 2 * 2 * 3 * 5 = 120
You can get the above multiples as follows:
120/2 = 60
60/2 =30
30/2 = 15
15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)
5/5 = 1
Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)
Second we can express 360 as follows:
360/2 = 180
180/2 = 90
90/2 =45
45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)
15/3 = 5
5/5 = 1
Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)
Now in (1) and (2) consider the common terms once and multiple that with the remaining:
2*2*2*3*5 = Common between the two
3 = Remaining
Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)
28 -4t = 3t is it 4 the answer
Answer:
Yes!
Step-by-step explanation:
28 - 4t = 3t
Isolate t:
28 = 7t
t = 28 / 7 = 4
write 8 as the whole number 11 is the numerator 20 is the denominator write it as a decimal
What is the image of (-1,0) after a reflection over the line y = -x?
Answer:
(1,0)
Step-by-step explanation:
reflection is flipping
flipping over Y would make -, to + or + to -
in this case -1,0 becomes 1,0
Miracle sells 28 dozens of donuts on Wednesday. Each dozen cost $18. How much is one
donut?
2
Answer:
$1.5
Step-by-step explanation:
if each dozen cost $18, we need to divide.......18/12........because 12 is a dozen.
18/12 = 1.5
f(x) = x2 + 8x-9
What is the factored form
Answer:8x+x2-9
Step-by-step explanation:
Explain the stages of a spider’s life cycle.
Answer:
3 Stages
Step-by-step explanation:
the Egg the Spiderling and the spider as an Adult i hope this helped.
Answer:
Thank you and sorrrrryyyyyy
I need help with math please
Answer:
47/30
Step-by-step explanation:
2.35 * 2/3 =
= 2 35/100 * 2/3
= 2 7/20 * 2/3
= 47/20 * 2/3
= 94/60
= 47/30
Answer:
47/30
Step-by-step explanation:
Another one help please
there must be subtraction of multiplication of each two diagonal,
|G|=[12×2-(-6)×0]
=(24+0)
=24ans
Answer:
Option B). 24
Explanation:
Refer to the attachment for your solution.
If 30% of a number is 60 and 70% of the same number is 140, find 40% of that
Answer:
80? im like 90% sure its 80
What is the y-intercept in this equation?
6x + 3y = 24
Answer: y=8-2x
Step-by-step explanation: Move all terms that don't contain y
to the right side and solve
1. Five more than a number is eight.
Answer
3, the number is 3
Step-by-step explanation:
work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.
Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom side of the scaled copy?
Answer:
The length of bottom side of the scaled copy is 12 u
Step-by-step explanation:
To solve this problem we have to know that to calculate the area of a triangle we use the following formula
a = area
b = base
h = height
a = b * h
In the triangle A the base and the height are equal to 3
b = h
Now that we know that b & h we can calculate the base of the scaled copy
72 u² = b * b
72 u² = (b)²
√(72 u²) = b
12 u = b
The length of bottom side of the scaled copy is 12 u
Sally buys a large drink every day for a full year (365 days). Each drink costs $2.82. Sally always pays $3.00 and drops her change in the tip
jar.
Which is the amount Sally tips in a year?
Answer:
$65.70
Step-by-step explanation:
She would be giving 18 cents each day for 365 day so you multiply 18x365 which equals 6570 and that written in dollars is $65.70
Write a quadratic function in standard form with zeros 12 and -3
Answer:
x^2+10x-24
Step-by-step explanation:
hope this helps!!!The temperature on an outdoor thermometer on Monday was 10.7 °C. The temperature on Thursday was 3.95 degrees less than the temperature on Monday. What was the temperature on Thursday?
Answer:
6.75
Step-by-step explanation:
just do 10.7-3.95
what is b ? -14 - 5b + 2b = -2 - 2(1 - b)
Answer: B = -2
Step-by-step explanation:
-14 - 5b + 2b = -2 - 2(1 - b)
-14 -3b = -2 -2 + 2b
-14 - 3b = -4 + 2b
-10 = 5b
b = -2
I'm bad at explaining
Answer:
b = -2
have fun
What is the midpoint of AB, with endpoints A(3,2) and B (8,14)
Answer:
Step-by-step explanation:
(3 + 8)/2= 11/2
(2 + 14)/2= 16/2= 8
(11/2, 8) the midpoint
1. The math team held several fund-raising activities during the school year. Some
activities made money and some lost money. The profit or loss for each activity is
shown in this table.
Activity Profit / Loss
Game Booth at Dance S150 profit
Stretchable Book Cover Sales S130 profit
Candy Sales
$145 loss
Car Wash
5175 profit
Pencil Sales
$115 loss
Spirit Button Sales $110 loss
A Place these profit/loss numbers in order from LEAST to GREATEST.
Shawn is packing these two boxes with food collected during his schools canned food drive. which expression represents the total volume of the two boxes?
Answer:
27x^3+48x^2-99x
Step-by-step explanation:
The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
Two rectangular box are shown in the picture.
The volume of the rectangular box = length×width×height
The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)
After simplification:
= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x
= 27x³ + 48x² - 99x
Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
Learn more about the rectangular prism here:
brainly.com/question/21308574
#SPJ2
What is the distance between -5 and 2?
units
———- units
Answer:
7
Step-by-step explanation:
5+2 is the difference between the two numbers
Answer:7
Step-by-step explanation:
hope its help thanks for seeing my answe bye
what is 5/6 + 4/6 + 1/6?
Answer:
The answer would be 1 2/3.
Step-by-step explanation:
First: (Add)
5/6 + 4/6 + 1/6 = 10/6.
Leaving the denominator the same.
Next: (Breakdown)
6 can go into 10, 1 time. With 4 more left. Which is 1 4/6.
Then the numerator and denominator can be divided both by 2. Which equals 1 2/3.
HELP ME PLEASE
Phil collected data from several of his friends about the number of hours they spent sleeping
and the number of hours they spent playing video games on Saturday. He recorded the data in the scatter plot.
Based on the scatterplot, what is the best prediction of the number of hours one of Phil's
friends spends sleeping when the friend spends 1 hour playing video games?
Answer: I just did the test so therefore the answer would be 9 hours
Step-by-step explanation: hoped this helped thx for the points :D
HELP FAST
DARIA
3(x – 17) < 9(1 – 3x)
Is 2 a solution to Daria's inequality?
O Yes
O No
Answer:
yes
Step-by-step explanation:
no
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
Write an equation of the line in slope-intercept from?
Answer:
[tex]y=-\frac{3}{2}x+2[/tex]
Step-by-step explanation:
This is for the first question.
Slope-intercept is:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We are given the slope of [tex]-\frac{3}{2}[/tex] and a y-intercept of 2.
Plug in the values:
[tex]y=mx+b\rightarrow\boxed{y=-\frac{3}{2}x+2}[/tex]
Hope this helps.
what is the inverse of f(x) = -10x - 2
Answer:
f^-1(x)-(x/10)-(1/5).
Hope this helps!
Step-by-step explanation:
(See picture for explanation!)