Answer:
(23/27, 11/9)
Step-by-step explanation:
Given the simultaneous equation;
-6x+5y=1..... 1
6x+4y=10.... 2
Add both equations
5y + 4y = 1+10
9y = 11
y = 11/9
Substitute y = 11/9 into 1;
From 1;
-6x+5y=1.
-6x + 5(11/9) = 1
-6x + 55/9 = 1
-6x = 1- 55/9
-6x = (9-55)/9
-6x = -46/9
x = -46/-54
x = 23/27
The solution to the system of equation is (23/27, 11/9)
Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)
Answer:
[tex]y - 20 = 24(x - 3)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, has the following format:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the point is [tex](x_0,y_0)[/tex] and the slope is m.
(3, 20)
This means that [tex]x_0 = 3, y_0 = 20[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 20 = m(x - 3)[/tex]
Slope:
The slope is the derivative of the function at the point:
The function is:
[tex]y = x^3 - 3x + 2[/tex]
The derivative is:
[tex]y^{\prime}(x) = 3x^2 - 3[/tex]
At the point, we have that [tex]x = 3[/tex]. So
[tex]m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24[/tex]
So the equation to the tangent line to the curve a the point is:
[tex]y - 20 = 24(x - 3)[/tex]
Patrick payed 12$ for 2 1/2 candy. How much did each pound of candy cost.
In the figure below, lines A and B are parallel. Find the m∠5 if m∠1 = 75° and m∠3 = 40°
Answer:
Angle 5 is 75 degrees
Step-by-step explanation:
angle 1 is congruent to angle 5
so angle 5 is also 75 degrees.
The measure of angle 2 and 5 are 65° and 85° respectively.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, lines A and B are parallel.
Here, m∠1 = 75° and m∠3 = 40°
Now, x+m∠2+m∠3=180°
x=m∠1 (Vertically opposite angles)
x=75°
75°+m∠2+40°=180°
m∠2+115°=180°
m∠2=65°
m∠2=m∠4=65° (Interior alternate angles are equal)
Now, m∠4+m∠3+m∠5=180°
65°+40°+m∠5=180°
m∠5=85°
Therefore, the measure of angle 2 and 5 are 65° and 85° respectively.
To learn more about the vertical angle theorem visit:
brainly.com/question/8119520.
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The graphs give the prices of different sizes of TVs available in the market. Which graph contains the line that best fits the given data and shows a positive association?
Answer:
3.05kilograms to grams
Answer: it’s graph D
:)
You start baby sitting at 5:30 pm. You babysit for 2 hours. What
time will you be done babysitting?
Answer:
7:30
Step-by-step explanation:
5:30 + 2:00 = 7:30
Answer:
7:30 p.m.
Step-by-step explanation:
you start babysitting at 5:30 you babysit for 2 hours 5 + 2 equals 7 . 7+.30 equals 7:30 p.m.
Find the distance between the two points.
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
(-1,-3)
Answer:
50
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + (x1 - x2) {}^{2} }}[/tex]
Distance between the 2 points
[tex] = \sqrt{( - 3 - 2) {}^{2} +( - 1 - 4) {}^{2} } [/tex]
[tex] = \sqrt{( - 5)^{2} + ( - 5)^{2} } [/tex]
[tex] = \sqrt{25 + 25} [/tex]
[tex] = \sqrt{50} [/tex]
Thus, the number that goes beneath the radical symbol is 50.
Your friend spends 3+4x minutes lifting weights and 9x+5 running a treadmill. Write a polynomial that represents how much time is spent on running on the treadmill than lifting weights. Answer quick!!!
Answer:
[tex]Polynomial = 5x+ 2[/tex]
Step-by-step explanation:
Given
[tex]Weights = 3 + 4x[/tex]
[tex]Treadmill = 9x + 5[/tex]
Required
Polynomial that represents time spent running treadmill than weight lifting
To do this, we simply subtract weights from treadmill
i.e.
[tex]Polynomial = Treadmill - Weights[/tex]
[tex]Polynomial = 9x + 5 - (3 + 4x)[/tex]
[tex]Polynomial = 9x + 5 - 3 - 4x[/tex]
[tex]Polynomial = 9x - 4x+ 5 - 3[/tex]
[tex]Polynomial = 5x+ 2[/tex]
I can't seem to get this problem factored
40y squared + 44y+12
Answer:
4(2y+1)(5y+3)
Step-by-step explanation:
........
Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.
Answer:
$365
Step-by-step explanation:
did the math
What are the sides of the triangle? What is the total length of the side of the big square?
Answer:
The sides of the the triangle is 7. The total of the the triangle is 24.
Step-by-step explanation:
I count how many triangle there is and is 7. I count all of the side of the triangle and it's 24.
-6x+5y=1 and 6x+4y=10.simplify
Answer:
1.)[tex]x=-\frac{1}{6} +\frac{5y}{6}[/tex]
2.)[tex]x=\frac{5}{3} -\frac{2y}{3}[/tex]
que es mayor? -6, +5, +1, -2, 0, -8, +7, -4
Barry has $55. He used 2/5 of his money to buy a new pair of running shoes. How much did Barry spend on his new shoes?
(Please hurry this is a test!)
Answer:
22, also nice woomy pfp!!!!
Need help with 8! Please show your work!!!!! Appreciate it! Have a nice day
Match each fraction, decimal, or percent with an equivalent fraction, decimal, or percent
It's more different than other people, for some people 1/2 equal 7.5. but mine shows 1/2 = 50% or 2/ 25 or 72% or 0.34? so I know mine doesn't add up, and this is on docs.
Answer: 2/25 as a percent is 8% and as a decimal is 0.08 and what is your question I don't really understand?
Step-by-step explanation:
The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?
A math textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems
Answer:
The answer is 3
Step-by-step explanation:
Here's my explanation. So all you have to do is divide 6 by 2 and we ALL KNOW FOR AFACT what 6/2 right? And its 3 so there ya go!!!
(a) Find 6% of 350 (b) Find 25% 80 (c) Find 15% of 35.00
% is read as percent, and cent means 100.
In this case 6% is 6 out of 100 or 6/100.
so 6%*350=350*6/100=21
The second case its 25%*80=25/100*80=20
The third case, its 35*15/100=5.25
HELP PLEASE ILL GIVE 10 POINTS
Answer:
The answer would be 150 degrees.
Step-by-step explanation:
When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.
Since angle A and B are alternate interior angles, you can now set the two equal to each other.
So, in order to find out what x equals, you have to set the two equations equal to each other.
8x-10=3x+90
Next, solve the new equation.
8x-10=3x+90
Add 10 to both sides.
8x=3x+100
Subtract 3x from both sides.
5x=100
Divide both sides by 5 and you'll get your answer.
x=20
Now that you know what x equals, you can substitute it into the equation for B.
<B= 3(20)+90
60+90= 150
<B=150 degrees
That gives you your answer of <B = 150 degrees.
To check your work you can also substitute x into the equation for <A.
<A= 8(20)-10
160-10= 150
<A=150 degrees.
Therefore, you have just proved that the answer is 150 degrees.
HELP PLEASE!!
Question
A company discovers that to produce x = 980 new electronic parts, it will cost y = $86,720. To produce 750 new
electronic parts, it will cost $67,400.
Compute the slope of the costs and choose the most accurate statement from the following:
Answer:
84 increasing rate
Step-by-step explanation:
2a2 + -1 2-a) +36 ; a=5, b=0
Answer:
the answer is 39
Step-by-step explanation:
hope that helps
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
2a2 + (-1×2-a) +36
= (2×5×2) + (-1×2-5) + 36
= 20 + (-7) + 36
= 56 + (-7)
= 56 - 7
= 49
Hope it helps you,
Mark me brainliest pls...
Follow me!!!! ;)
help due today find the surface area
Answer:
The total surface area is 178.08
Answer:
The surface area of this figure is 178.08yd²
Complete the statement about statistical studies.
Asking a group to respond to one or more questions is an example of
v. which is a type of
Reset
an experiment
a survey
a repeated measures design
Answer:
a survey
observational study
Please give me Brainliest, I really need it.
A Survey is the gathering of information. Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.
What is a survey?A survey is a collection of question asked to a random group of people who represent the entire population, the responses of the group is assumed to be valid for the entire population.
The blank spaces in the statement can be filled as shown below.
Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.
Learn more about Survey:
https://brainly.com/question/17373064
answer this for brainliest answer
Answer:
exact form of n=3/2
decimal form of n=1.5
mixed number form of n= 1 1/2
Which expression has a negative value? PLS HELP
Answer:
A) x+y
Step-by-step explanation:
A) x+y
C & D are automatically out because if you multiply or divide by a negative number, you get a positive number.
B) -11/8-(-11/4)=
-11/8+22/8=11/8 (positive)
Answer:
The answer would be B.
Step-by-step explanation:
The answer is B Because -11/4 -11/8 would equal to -4 1/8 which is negative so the answer is B
What effect does inflation have on the prices of goods and services?
Ο Α.
Prices decrease.
OB.
Prices double.
O a.
Prices Increase.
D.
Prices stay the same.
Answer:
price increase
Step-by-step explanation:
.....
change 2y-3+18 to the distributive property
63 students choose to attend one of three after school activities: football, tennis or running.
There are 38 boys.
20 students choose football, of which 19 are girls.
19 students choose tennis.
5 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
PLEASE HELP!!!!! If all the triangles below are the result of one or more rigid transformations, which of the following MUST be true?
All corresponding line segments are congruent.
All corresponding angles are congruent.
All triangles have the same area.
A,B, and C are all correct.
Answer:
A,B, and C are all correct
Step-by-step explanation:
Rigid transformations do not change figures except for where they are at.
Expand and simplify 3(3x+3)-3x(4x+2)
Answer:
−12[tex]x^{2}[/tex]+3x+9
Step-by-step explanation:
=(3)(3x)+(3)(3)+−12x2+−6x
=9x+9+−12x2+−6x
Combine Like Terms:
=9x+9+−12x2+−6x
=(−12x2)+(9x+−6x)+(9)
=−12[tex]x^{2}[/tex]+3x+9