[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]
[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]
Solve for b: A = 1 2 (a + b)h.
Answer:UwU
Step-by-step explanation:
One cup of coffee needs 2 spoons of milk. If one bottle of milk has 50 spoons, write an inequality representing the possible cups of coffee one bottle of milk can make.
your amazing and beautiful or handsome or whatever you are comfortable with!:D
Answer:
1. C
2. E
3. D
4. A
5. B
Step-by-step explanation:
1. It shows that the number of students decrease.
2. It increases more than the breakfast (B)
3. It's on thin line representing the students and workers whom stayed in the cafeteria.
4. It increases showing the same amount of students that entered the other day.
5. The same
An electronics store had a special sale on two different models of calculators. The more high-tech model sold for $33.02 and
the older model sold for $18.55. All together, 28 calculators were sold. Total sales came out to $736.45. Which system of
equations can be used to determine how many high-tech models were sold, x, and how many older models were sold, y?
Answer:
$736.45/$33.02 = 22.30 high tech
x($33.02) = $736.45
$736.45/$18.55 = 39.70 older models
y($18.55) = $736.45
-7/8 divided by 9/8
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Answer:
77/8
Step-by-step explanation:
How to do matrix multiplication.
Answer:
A Matrix is an array of numbers:
2x3 Matrix
A Matrix
(This one has 2 Rows and 3 Columns)
To multiply a matrix by a single number is easy:
Matrix Multiply Constant
These are the calculations:
2×4=8 2×0=0
2×1=2 2×-9=-18
We call the number ("2" in this case) a scalar, so this is called "scalar multiplication".
You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year
Answer:
24 x 12 = 288 hours
Step-by-step explanation:
Where can Anne be found in the video?
This is the only known video of Anna frank. Answer using a single word,and lower case letter
Answer:
Step-by-step explanation:
An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960
srry i dont know but here
Help very quick ! thank youuuuuuuuuuuuuu
She spent 2 hours and 45 minutes.
The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Use a graph to determine whether the cost is proportional to the number of lessons. Explain your reasoning.
Answer:
it is not proportional. when you graph it, you will see it is not linear.
Step-by-step explanation:
Answer:
not proportional
Step-by-step explanation:
A graph that’s proportional would have to be linear a straight line but that cannot happen since the numbers are proportional
Its constant of proportionality is 12 and 10 so it could not work.
Find m<1 and m<2
Help
Answer:
m<1 = 45
m<2 = 135
Step-by-step explanation:
135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.
What dp they mean 2 to the fourth equal 16.
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
Could someone please help me on this equation?
Answer:
y = (x+2)x7
Step-by-step explanation:
Answer:
y = 7x + 14
Step-by-step explanation:
1. Add 2 to x = x + 2
2. Multiply x + 2 by 7 = 7(x + 2)
3. Simplify: y = 7x + 14
PLEASE HELP WITH STEPS 25 POINTS!!!!
Answer:
[tex]1.75+0.25log_{10}a[/tex]Step-by-step explanation:
Given:
[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]Simplify:
[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]log both sides:
[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]Reindeers eat 62 apples an hour, there is 24 hours in a day, how many do they eat
simply the ratio 3:9
Answer:
1:3
Step-by-step explanation:
The ratio 3:9
3/9=1/3
=1:3
Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.
Michael charges $3 per lemonade plus a flat rate of $1.
How many lemonades would they have to sell to be making the same amount of money?
Which relation is a function?
How to find displacement from velocity.
Answer:
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?
Ashley is incorrect, they’re traveling at the same rate. hope this helped
24+18a=
help i can not get the answer
What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)
Group of answer choices
−3
3
6
9
Answer:
9
Step-by-step explanation:
use half the x coefficent and square it
x^2 − 6x + (-3)^2 = 10 + (-3)^2
x^2 - 6x + 9 = 10 + 9
(x - 3)^2 = 19
Of the 345 7th graders, 40% of them
are in band. How many 7 graders
are in band?
So first you find 10% which is 34.5
Then you multiply 10% by 4 to get 40% which is = 138s
Yw
solve pls brainliest
Answer:
neither, neither, terminating, repeating
There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .
Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.
What is the ratio of r to g? Your ratio must be in its simplest form.
The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
Solve for g.
7 − –3g = 13
g =
Answer: g=2
Step-by-step explanation:
Remove the parentheses
7- (-3)g=13
Move the constant to the right
7+3g=13
Calculate
3g=13-7
Divide both sides
39=6
Answer:
g=2
Find the slope of each line of the graphs to the right. Which graph has the greater slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.
Answer:
Line 2
Step-by-step explanation:
line one's slope is one and line 2 is 3
Answer:
Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.
Step-by-step explanation:
Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope
What is the slope of this line?
A - 1/5
B 5
C -5
D 1/5
Answer:
It is 1/5
Step-by-step explanation:
rise/run and it rises by one and runs by 5.
find the slope and y intercept.
Answer:
slope= -2/5
y intercept b= (0,2)
The length of a rectangle is five centimeters less than width. Find the dimensions of the
rectangle if its area is 50 cm?
Answer:
w is 10 and l is 5
Step-by-step explanation:
l=w-5
lw=50
w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10