We need to form a system of equations:
3x + 2y = 2
2x + 3y = 4
Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).
6x + 4y = 4
6x + 9y = 12
Next, we can subtract the second equation from the first. We get:
0x - 5y = -8
Then this becomes:
-5y = -8
÷-1 ÷-1
5y = 8
÷5 ÷5
y = 1.6
Substitute 1.6 for y in one of the equations:
2x + 3(1.6) = 4
2x + 4.6 = 4
2x = -0.6
÷2 ÷2
x = -0.3
Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]
In XYZ, what is the cosine ratio of X?
Answer:
c) 12/15 = 4/5
Step-by-step explanation:
imagine we mirror the triangle up, so that Z is on top.
then you can clearly see that 6 is cos(X) times r (and r is then 7.5).
XY is sin(X)×7.5
and again, 7.5 is r (the line making the X angle).
so, the cosine ratio of X is
6 = cos(X)×7.5
cos(X) = 6/7.5 or then 12/15. or simplified 4/5.
8tbsp. 2tsp.
x 15
_________
(6 1/4)^4
Answer fast or i will report you
Answer:6
Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.
Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6
Solve this system of equations with matrices. x – 5y – 4z = 15 -3x +2y + 3z = -6 4x + 8y – 2z = 3
Answer:
x = 59/10, z = 237/70, and y = -121/70
Step-by-step explanation:
what must be added to a + b to get a
Answer:
we have to add (-b) to get (a)
Step-by-step explanation:
a+b+(-b)=a
a+b-b=a
a=a
Hence verified.
Hope this helps you. Have a nice day^_^
Write the equation of the line in slope-intercept form with a slope of 5/6 and passes through the point (0, -6).
Answer:
y=(5/6)x-6
Step-by-step explanation:
The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6
find the supplement of 3/4 of a right angle
Answer:
Step-by-step explanation:
¾*90=67.5
180-67.5=112.5°
Answer:
60°
Step-by-step explanation:
You can see the explanation in the picture
Plssss help me with this question!!!!
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
Which term describes the red curve in the figure bellow?
Answer:
Letter B. Hyperbole is your answer
FIND THE AREA OF THE SHADED REGION.
This problem can be a bit confusing, so let's break it down:
First, let's take the area of the square (A = b · h):
A = 15 · 15
A = 225 cm²
Now comes the confusing part:
We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:
A = πr²
A = 15²π
A = 225π
1/4 A = 225π / 4
New Area = 56.25π
Or... about 176.7
Since we have both of the areas, all we have to do is subtract:
225 - 176.7 =
48.3.
Your final answer is 48.3 cm²
Mr. Johnston needs a shelf to hold a set of textbooks, each 1 3/4 in. Wide. How many books will fit on a 35-in.-long shelf?
Answer:
20 books
Step-by-step explanation:
35/1.75
20
If f(x) = 3x^2-2x+4 and g(x) = 5x^2+6x-8, find (f-g)(x)
Answer:
-2x^2-8x+12
Step-by-step explanation:
f(x) = 3x^2-2x+4
g(x) = 5x^2+6x-8
(f-g)(x)= 3x^2-2x+4 -(5x^2+6x-8)
Distribute the minus sign
(f-g)(x)= 3x^2-2x+4 -5x^2-6x+8
Combine like terms
=-2x^2-8x+12
Answer: (f+g)(x)=8x^2+4x-4
Step-by-step explanation:
Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)
Find the missing value.
Hint: Use the number line to find the missing value.
-5 = -8-
H
-15
-10
-5
0
5
10
15
Stuck? Review related articles/videos or use a hint.
Answer:
-3
Step-by-step explanation:
-8 - x =-5
I hope this helped! :)Two teams are playing basketball. At the end of the game,
Team A scores 72 points and Team B's score is 125% of Team
A's. How many points does Team B score?
Answer: 90 points
Step-by-step explanation:
Team A's score = 72 points
Team B's score = 125% of A's
= 90 points
please click thanks and mark brainliest if you like :)
Someone please help me solve this
1.4
2.3
3.7
solution 1
2+2+=4
solution 2
3
which equations have a leading coefficient of 3 and a constant term of -2?
Answer: the answer to this is 3x-2
Step-by-step explanation:
Which expression is equivalent to the expression 10.5 - 7.5 + 12?
�� 10.5 + 7.5 + 12
�� 7.5 - 10.5 + 12
�� 10.5 + (-7.5) + 12
�� 10.5 + (-12) + 7.5
Answer:
The 3rd one, 10.5+(-7.5)+12
Step-by-step explanation:
If something is +(-), the answer is minus.
So therefore 10.5-7.5+12 would be our answer
Which is equivalent to the original expression
Hope this helps!
What is the name of an investment that pools money from many investors in
order to acquire a large variety of stocks, bonds, and other investments?
A. Derivative
B. Mutual fund
C. Annuity
Answer:
Mutal fund because its a formerly greatest instruments
The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
What is investment?Investment is traditionally defined as the "commitment of resources to achieve later benefits
A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.
Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.
Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.
Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.
Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
To learn more on Investment click:
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Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
What are the x- and y-intercepts of g(x) = 4 - X2?
Answer:
g(x) = 4 - x^2
at x-intercept, y=0
0=4-x^2
x^2=4
x = ± 2
=> two x- intercepts, (-2,0) and (2,0)
at y-intercept, x = 0
g(x) = y = 4 - 0 = 4
y-intercept = (0,4)
The x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).
What is an intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
g(x) = 4 - x²
At x-intercept, y = 0
0=4-x²
x² = 4
x = ± 2
Two x- intercepts, (-2,0) and (2,0)
at y-intercept, x = 0
g(x) = y = 4 - 0 = 4
y-intercept = (0,4)
Therefore, the x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).
To know more about an intercept follow
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use the ratio of a 45-45-99 triangle to solve for the variables.
hopefully this answer can help you to answer the next question.
solve for the measure of a
Answer:
Step-by-step explanation:
The supplement of the exterior angle is 180 - 75 = 105
In a cyclic quadrilateral (a four sides figure where all the vertices touch the circumference of a circle), the opposite angles are supplementary. Therefore <a = 180 - 105 = 75
But I think you already knew that.
Heyo random person scrolling.Please help me?
Let's do
[tex]\\ \sf\longmapsto 2sin^260cos60tan^245[/tex]
[tex]\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2[/tex]
[tex]\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]
Trigonometric values
[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]
Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?
Answer:
320 minutes (5 hours and 20 minutes).
Step-by-step explanation:
2 hours and 17 minutes = 137 minutes
137 + 84 + 99 = 320
Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.
What is 8j - 3k + 6 - 7j + 3k - 4 simplified
Answer:
j+2
Step-by-step explanation:
combine like terms
3k - 3k = 0
8j - 7j = 1j or j
6 - 4 = 2
put it all together
j + 2
Answer:
j + 2
Step-by-step explanation:
= 8j - 3k + 6 - 7j + 3k - 4
= 8j - 7j - 3k + 3k + 6 - 4
=j + 2
Answer from Gauth math
How much of a circle does a 100-degree angle turn through?
A.1
B.100/180
C.50/360
D.100/360
Answer:
100/360
Step-by-step explanation:
A circle is 360 degrees
100/360
10/36
5/18
Match the stem and leaf plot
to the correct set of data.
In the figure below j ll h find the values of x and y
Answer:
26
Step-by-step explanation:
Given: Lines J and H are parallel lines. O intersects both lines equally.
Since two angles equal 180, that will be what (4y + 12) and 64 will be equal to.
(4y + 12) + 64 = 180
76 + 4y = 180
-76 -76
-------------------
4y = 104
y = 26
x and y is both 26 because they are vertical angles.
Hope this helped.
Help me pls its Pythagorean theorem I need help
Answer:
the answer is 3.81
but rounding it it will be 3.8 meters
Step-by-step explanation:
Pythagorean theorem says
a²+b²=c²
so,
take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²
then put it all together you get
7²+x²=8²
we made b as x because we will be finding b
then substitute the values
x²=8²-7²
x²=64-49
x²=15
to remove that square from the x you then put square root in both
✓x²=✓15
press in the calculator, root of 15 will be about 3.81
now we got
x=3.81
x is the missing measurement