Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?
Answer:
12-foot shadow
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
Write the following linear function in slope intercept form.
Group of answer choices
y=-x+3
y=-5x-16
y=-3x+1
y=3x-1
Answer:
Step-by-step explanation:
my guessing skills be like y=-3x+1
5th one pls help me .....
x² + y² = 6xy
or, (x + y)² - 2xy = 6xy
or, (x + y)² = 8xy
or, (x + y)² = 2³xy
Taking (log) in both sides, we get
log (x + y)² = log (2³xy)
or, 2 log (x + y) = log (2³) + logx + logy
or, 2 log (x + y) = 3 log2 + logx + logy
there hopefuly it help!!!
.
Choose the correct answer to 318 x 6.
1,808
1,906
1,918
1,908
Answer:
1,908
Step-by-step explanation:
Karen buys apples and bananas for the daycare center she runs. The apples cost $1.50 per pound, and the bananas are $0.50 per pound. The table shows the amounts of apples and bananas she has purchased the previous six weeks. Apples, x (pounds) 5 10 7 3 9 12 Bananas, y (pounds) 5 5 12 14 9 2 This week, Karen will spend $20.50 on apples and bananas. Write an inequality that describes both the amounts of apples and bananas she has purchased in the past six weeks and the amounts she may buy this week. Enter the correct answer in the box. Write your answer in the form ax + by = c, using the appropriate inequality symbol in place of the equal sign.
Answer:
Step-by-step explanation:
Simplify: (just give the answer)
6²+4²
Answer:
10 squared
Step-by-step explanation:
Answer: 52
Step-by-step explanation:
6*6 = 36 4*4 = 16
36+16=52
A scientist has two acid solutions: Artesia, which is a $70\%$ acid solution, and Borromeo, which is a $20\%$ acid solution. (a) Find the amount of Artesia (in mL) that must be added to $500$ mL of Borromeo in order to produce a $60\%$ acid solution. (b) Find the amount of Artesia and Borromeo (in mL) that can be combined in order to form a $100$ mL solution that is $55\%$ acid. (c) Does there exist a combination of Artesia and Borromeo that is $80\%$ acid?
Answer:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]
[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]
[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.
PLEASEEEEEEEE HELP ME I NEED TO TURN THIS IN
Answer:
102 degrees
Step-by-step explanation:
Since the two angles are same side interior that would mean they sum up to 180 degrees.
180-78=102 degrees
hoped this helped :)
Express 7.6109 x 10⁸
Answer:
761090000
Step-by-step explanation:
10⁸ = 100000000
7.6109 * 100000000 = 761090000
Answer:
761090000
Step-by-step explanation:
=7.6109×10^8
=761090000
ANS
What is the argument of -5\sqrt{3}+ 5i?
Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length [tex]5\sqrt{3}[/tex]. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is [tex]5\sqrt{3}[/tex].
[tex]\tan(\theta)=\frac{5}{5\sqrt{3}}[/tex]
[tex]\tan(\theta)=\frac{1}{\sqrt{3}}[/tex]
[tex]\theta=\tan^{-1}(\frac{1}{\sqrt{3}})[/tex]
[tex]\theta=30[/tex]
So 90-30=60.
The answer therefore 60+90=150.
Answer:
D 150 degrees
Step-by-step explanation:
got it right on edge
A cab company chargers a $3.50 boarding fee and $0.50 per mile. Write an equation to describe the relationship between the cost of the cab ride and the number of miles traveled.
Answer:
T = 0.50m + 3.5p
Step-by-step explanation:
if T is the total cost and m is the miles driven and you have a fee of $3.50, the equation would be 3.50 + 0.50m = T which can be written like that or re written as T = 0.50m + 3.5p.
hope this helps :)
BRAINLIEST
If point B has coordinates (-8,1), what are the coordinates of the point when it is
reflected across the y axis?
Answer:
it is (8;1)
Step-by-step explanation:
Answer:
(8, 1)
Step-by-step explanation:
When a point undergoes a reflection across the y-axis, it follows the following transformation:
(x, y) --> (-x, y)
(8, 1) --> (-8, 1)
D =
R =
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Twice a number n decreased by seven (ez points for ez question so answer )
5x+9−2x+13=67 solve the equation
Answer:
5x+9−2x+13=67
3x+9+13=67
3x+22=67
3x=45
x=15
Mark brainliest!!
Step-by-step explanation:
3x + 22 = 67
3x = 67 - 22
3x = 45
x = 45/3
put the this is ur calculator and u will get the answer
what is proportional to 35/80
Answer:
nhi pta... pdhai dhang se kiya kro
given the function g(x)=x^2+5x-2 determine the average rate of change of the function over the interval -9 ≤ x ≤ 3
The average rate of change over an interval is the same as the slope between those two values. The formulate for slope is:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
You are given the x values: x2=3 and x1=-9. Plug in these x values to g(x) find the y values:
g(3)=3^2+5(3)-2=9+15-2=22
g(-9)=(-9)^2+5(-9)-2=81-45-2=34
Now, you can solve for m:
m=(22-34)/(3--9)
m=-12/12
m=1
Hope this helps!!
the average rate of change of the function over the interval -9 ≤ x ≤ 3 is -1
The average rate is the change of expression with respect to time.
Given the expression g(x)=x^2+5x-2 within the interval -9 ≤ x ≤ 3
At the lower interval x = -9
g(-9) = (-9)²+5(-9)-2
g(-9)= 81-45-2
g(-9) = 34
At the upper interval x = 3
g(3) = (3)²+5(3)-2
g(3)= 9+15-2
g(3) = 22
The average change of the function will be expressed as:
[tex]\frac{\triangle y}{\triangle x} =\dfrac{g(b)-g(a)}{b-a}\\ \frac{\triangle y}{\triangle x} =\dfrac{g(3)-g(-9)}{3-(-9)}\\\frac{\triangle y}{\triangle x} =\dfrac{22-34}{12}\\\\\frac{\triangle y}{\triangle x} =\dfrac{-12}{12} \\\frac{\triangle y}{\triangle x} =-1[/tex]
Hence the average rate of change of the function over the interval -9 ≤ x ≤ 3 is -1
Learn more here: https://brainly.com/question/7590674
look at picture for the question
I will make brainiest whoever has the correct answer!
Answer:
D. all real numbers
please help me with this
Answer: C is no and the others are yes.
Step-by-step explanation:
PLS SOLVE QUICKLY:
u/p +u/q = m, if, p is not equal to -q
Answer:
4n r+
Step-by-step explanation:
Try using calculator cause I seen this before.
HELP ANSWER THIS QUESTION
Answer:
f^-1(x) = (x+2)/3
Step-by-step explanation:
F(x) = 3x-2
substitute x for y, and f(x) for x: x = 3y - 2
Solve for y: x + 2 = 3y
y = f^-1(x) = (x+2)/3
What are three different ratios that are equivalent to the ratio 3:11.?
Explain your answer
Answer:
6:2212:4430:110Step-by-step explanation:
3 × 2 = 6, 11 × 2 = 22; put them together: 6:223 × 4 = 12, 11 × 4 = 44; put them together: 12:443 × 10 = 30, 11 × 10 = 110; put them together: 30:110I hope this helps!
Una jarra vacia pesa 0.64 kg, llena de agua 1.728 kg. ¿Cuánto pesa el agua?
Answer:
Pesa 1.088kg
Step-by-step explanation:
Peso jarra vacía --> 0.64kg
Peso jarra llena de agua --> 1.728kg
Peso agua = peso jarra vacía - peso jarra llena
Peso agua = 1.728kg - 0.64kg = 1.088kg
Peso agua= 1.088kg
(y - 2)2 = y2 – 6y + 4
Is this statement true or false?
==============================================
Explanation:
I'm assuming you meant to type out
(y-2)^2 = y^2-6y+4
This equation is not true for all real numbers because the left hand side expands out like so
(y-2)^2
(y-2)(y-2)
x(y-2) .... let x = y-2
xy-2x
y(x)-2(x)
y(y-2)-2(y-2) ... replace x with y-2
y^2-2y-2y+4
y^2-4y+4
So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4
--------------------------
Another approach is to pick some y value such as y = 2 to find that
(y-2)^2 = y^2-6y+4
(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2
0^2 = 2^2 - 6(2) + 4
0 = 4 - 6(2) + 4
0 = 4 - 12 + 4
0 = -4
We get a false statement. This is one counterexample showing the given equation is not true for all values of y.
The points (5, n) and (4, -4) fall on a line with a slope of 7. What is the value of n?
n =
Submit
Work it out
Answer:
Step-by-step explanation:
The slope of a line can be calculated:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]
We know that the slope is 7, so we want to solve for [tex]y_2[/tex]
[tex]\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3[/tex]
PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?
Last month, John lost money by selling stocks. His investment income was -\$525−$525minus, dollar sign, 525. This month, John's investment income is \$163$163dollar sign, 163. What does this mean?
Answer:
it means that John GAINED $163 by selling stocks.
Step-by-step explanation:
A man can run 1 mile in 6 minutes. How fast is this measured in feet per second?
How fast is this measured in miles per hour? Hint: 5280 feet=1 mile
316800
Step-by-step explanation:
Katie say whaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaatttttttttttttttttttt
Answer:
fr
Step-by-step explanation:
Kate ran 4 miles. How far did she run in kilometers?
Answer:
About 6.44 kilometers
Step-by-step explanation:
I mile is approximately 1.61 kilometers, so 4 miles would be 1.61 · 4 = 6.44 kilometers.
Hope this helps!
