The given equation 3(x+10)+6=3(x+12) has infinitely many solutions.
We have the following expression
[tex]3(x+10)+6=3(x+12)[/tex]
We must rewrite both sides of the equation.
For this, we use the distributive property.
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
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Answer:
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
Step-by-step explanation:
When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each axis on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables? Could you graph an equation containing more than four variables? Explain.
If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? What would happen to the graph if all the x-values were increased by 1? What would happen to the graph if all the y-values were multiplied by 2 or by 1/2? Explain
ill mark the brainliest if the answer isnt a copy and paste from the other answers
Answer:
Step-by-step explanation:
See attached image.
1. What would you use to graph the solution to an equation with one variable?
I picked an example equation, y=2x+3, to demonstrate the impacts of changing condions. It is the blue line. I'm not sure how to answer the quesion "What would you use . . .", but my response would be "I would use DESMOS to graph the solution." It is free, efficient, and very flexible. It can handle multiple equations and a variety of functions.
2. What would happen to the graph if all the y-values were increased by 1?
I added 1 to the right side of the equation to increase all the y values by 1. It is the black line. All points are raised by 1.
3. What would happen to the graph if all the x-values were increased by 1?
I added +1 to each x value, shown as the red line. All points are increased by 2 over the original line.
4. What would happen to the graph if all the y-values were multiplied by 2 or by 1/2?
See Increeases2, attached. The slopes of the lines are doubled when the y values are doubled, and decreased by (1/2) when they are multiplied by (1/2). The y intercepts are also doubled or halved, respectively.
Mr. Vega bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Vega get in all?
Answer:
29
Step-by-step explanation:
3 x 48 = 144
144 ounces in pounds: 9 pounds
20pounds + 9 pounds = 29pounds
what are the domain and range?
Answer:
sooo i think it would be
-infinity > x > infinity
edit:
it will also be
-infinity > y > 64
i think since y ends at 64 (hightest height above the ground)
Step-by-step explanation:
umm because the graph goes forever? not really sure though since in my college the topics are a little different and they may not teach in yours
factor the polynomial
1. w^2+9w+14
2. x^2-14x+45
Answer:
1. ( w + 7 ) ( w + 2 )
2. ( x - 9 ) ( x - 5 )
Step-by-step explanation:
1.
w² + 9w + 14
= w² + 7w + 2w + 14
= w ( w + 7 ) + 2 ( w + 7 )
= ( w + 7 ) ( w + 2 )
Hence, factorised.
2.
x² - 14x + 45
= x² - 5x - 9x + 45
= x ( x - 5 ) - 9 ( x - 5 )
= ( x - 9 ) ( x - 5 )
Hence, factorised.
Solve sec (y + pi/2) = - 2 for 0 < y < pi radians.
Help needed!! anyone?
[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]
What is the percent of increase from 6 to 9?
Answer:
50%.
Step-by-step explanation:
please mark me the brainiest
Pilar did not include the _____.
The mean is _____.
The median is _____.
ILL GIVE BRAINLIEST HELP
Answer:
Pilar did not include the 14.
The mean is 20.
The median is 15.5.
Step-by-step explanation:
The mean: [tex]\frac{12+15+15+16+18+44}{6} =20[/tex]
The median: 12, 15, 15, 16, 18, 44
The median is [tex]\frac{15+16}{2} =15.5[/tex]
Hope this helps
63.6% to a fraction in simplest form
Answer:
159/250
Step-by-step explanation:
63.6% =
636/1000
divided by 2
318/500
divided by another 2
159/250
Answer:
159/250
Step-by-step explanation:
63.6% = 63.6÷100=.636
636/1000 divide each part by 2 (both are even numbers)
318/500 divide by 2 again (still even)
159/250 no more factors that are the same.
2x + 5y = 20
6x - 5y = 12
Answer:
is this a question?
Step-by-step explanation:
Please help me , answer steps . Thanks..
Answer:
I think the answer is 3150 miles
I multiplied 1.50 by 21 and the answer I converted to miles
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
HI BRAINLY USER!!
JUST CLICK THE ATTACHMENT PHOTO Ans: ➝ The taxi travel 13 miles⊱─━━━━━━━⊱༺●༺⊰━━━━─⊰
#CARRY ON LEARNINGif there are 34555 apples in a truck then 300 are ate ant 200 go to trash and 999 is in room. how many left. Answer in hurry
Answer:33,056
Step-by-step explanation:i dont know jut put this answer
ANSWER THIS TO GET 23 POINTS AND BRAINLIEST
Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.
I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).
The traditional interest formula is I = (P)(R)(N).
P = the original amount of money given
R = interest rate
N = the amount of time
I hope this answers your question (and that I understood the question correctly!).
-Toremi
Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °
The points on the red arc are points A and B
The measure of the red arc is 75 degrees
How to determine the measure of arc XYZ?From the complete question, we have:
Angle DCE = 75 degrees
By vertical angles theorem,
Angle ACB = Angle DCE = 75 degrees
So, we have:
Angle ACB = 75 degrees
The measure of the red arc is the same as the measure of the angle ACB.
So, we have:
Red arc = 75 degrees
Hence, the measure of the red arc is 75 degrees
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A population of 12,000 fish has a growth rate of 4% each year. Write a model for the situation About how many years will it take for the population to
reach 20,000?
O A 12,000(1.047" = 20,000; 1.6 years
B. 12,000(1.04)" = 20,000: 13.02 years
C. 12,000 0.00 – 20.000; 12.77 years
D. 12,000.00 = 20,000: 5 29 years
Answer:
B
Step-by-step explanation:
Trial and error into (ABOUT/APPROXIMATELY)
y=12000(1.04)^x
Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2)(4.4)(5) – one-third (one-half)(2)(4.4)(3.9) one-half(2)(4.4)(5) one-third (one-half)(2)(4.4)(3.9)
The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).
What will be the volume of the composite figure?The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.
Volume of the cube = length*breadth*height
So, the volume of the cube = 8*6*4
The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)
Area of the base of the pyramid = 8*6
Height of the pyramid = total height - height of the cube
Height of the pyramid = 10-4 =6
So, the volume of the pyramid = 1/3 * 8*6*6
So, total volume = (8*6*4)+ 1/3 * (8*6*6)
Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).
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Answer:
D. One-half(2)(4.4)(5) + One-third (One-half)(2)(4.4)(3.9)
Step-by-step explanation:
E2020
Matilda and her family took a trip to Yellowstone National Park to see Old Faithful
erupt. Matilda was standing 125ft from the blast. The blast rose 100ft in the air.
What is the angle from Matilda to the top of the blast?
Using the slope concept, it is found that the angle from Matilda to the top of the blast was of 38.66º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the vertical change is of 100 ft, while the horizontal change is of 125 ft, hence:
[tex]\tan{\alpha} = \frac{100}{125}[/tex]
[tex]\alpha = \arctan{\left(\frac{100}{125}\right)}[/tex]
[tex]\alpha = 38.66^\circ[/tex]
The angle from Matilda to the top of the blast was of 38.66º.
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Evaluate:
-3|x|+2x-1 if x=-5
Please help with my grade 11 math! Ill give the brainliest!
Answer:
9.6^2=100^2+100^2-2(100)(100)
theta=cos^-1((9.6^2-100^2-100^2)/(-2(100)(100))
theta=5.5
Step-by-step explanation:
An onion soup recipe calls for 3 2/3 cups of chopped onions Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. PLLLLS HELP ILL BE UR BESTIE!!
Answer:
2 1/3 cups of onions
Step-by-step explanation:
3 2/3-1 1/3= 2 1/3 cups
Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2)(4.4)(5) – one-third (one-half)(2)(4.4)(3.9) one-half(2)(4.4)(5) one-third (one-half)(2)(4.4)(3.9)
The expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)
What will be the volume of the composite figure?The volume of the composite figure will be the sum of the volume of the prism and the volume of the pyramid.
The Volume of the prism = Area of the base * height of the prism
Area of the base = 1/2*4.4 *2
Height of the prism =5
So, the Volume of the prism = (1/2)* (4.4)*(2)*(5)
The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)
Area of the base of the pyramid = 1/2*4.4 *2
Height of the pyramid =3.9
So, the volume of the pyramid = (1/3)* (1/2)*(4.4)*(2)*(3.9)
So, total volume = (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)
Hence, the expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)
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Answer:
D
It's D for those who want a fast answer!!
Step-by-step explanation:
Help me please I give brainest to who ever get right
in a certain school of 200 students ,the students can study french,spanish,,both or neither . Just as many study both as study neither .One quarter of those who study spanish also study french.The total number who atudy french is 10 fewer than those who study spanish only .what percent of student study french only
Answer:
1900
Step-by-step explanation:
i took the est
What is the area of a circle whose radius is 4 ft?
Question 2 options:
16πft2
64πft2
8πft2
4πft2
Answer:
16pi ft^2
(the first answer)
Step-by-step explanation:
Two-hundred people are at a wedding. The dinner tables seat 10 people. How many tables are needed to seat all of the guests?
Answer:
20 tables
Step-by-step explanation:
200 guests, 10 guests per table. You need to divide 200 people into groups of ten. Therefore, you should form the equation 200/10. The answer would be 20.
Answer:
Required tables = [tex]200 \div 10 = \bf\: 20 \: tables[/tex]
Mike had $70 of credit at an electronics store. He bought a package of DVDs for $20. a computer mouse for $17 and a programming book for $15. How much store credit does Mike have left? *
Answer:
18
Step-by-step explanation:
20+17+15=52
70-52=18
Hope it Helps
Answer:
70-(20+17+15)=$18
$18 of store credit left
I'm stuck on these questions....
Answer:
call 911
Step-by-step explanation:
they serve anyone
You rent 3 DVDs and 2 video games for $19. The following week, your friend rents 6 DVDs and 4 video games for $38. Which of the following statements apply?
Answer:
It is "The video game rentals cost more than the DVD rentals"
A bookstore sold the same number of books each day for 17 straight days. The store sold a total of 5,066 books. How many books did the bookstore sell each day? A) 288 books B) 298 books C) 5,049 books D) 5,083 books
Answer:
B) 298
Step-by-step explanation:
5,066 ÷ 17 = 298 books
The depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3.25 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8.75 meters. which of the following equations models d, the depth of the water in meters, as a function of time, t, in hours? let t = 0 be 12:00 a.m. d = negative 3.75 cosine (startfraction 4 pi over 31 endfraction t) 5 d = negative 3.75 cosine (startfraction 4 pi over 29 endfraction t) 5 d = negative 2.75 cosine (startfraction 4 pi over 31 endfraction t) 6 d = negative 2.75 cosine (startfraction 4 pi over 29 endfraction t) 6
In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6
What are periodic waves?
A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency
Putting together some information given in the statement we have:
The minimum depth of 3.25 m occurs at 12:00 am and at 3:30 pm.Therefore the period t=0 will be 12:00 am.The maximum depth of 8.75 m occurs at 7:45 am and at 11:15 pm.Knowing that the formula will be given by an equation similar to:
[tex]d=acos(bt)+k[/tex]
Where:
d = depth, mt = time, hoursa= amplitudeThe amplitude difference is given by:
[tex]8.75-3.25=5.5\ m[/tex]
The mean depth is:
[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]
Then writing the equation with;
[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]
Hence the value of water depth will be d=5.5Cos(12t)+6
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Using circle theorem 2, which states that the angle oppositeto the center in a semicircleis a right angle and the fact that the sum of the interior angles of a triangle is equal to 180°, calculate the value of x
Note: Angle B = x + 15, Angle C = x + 5
Answer:
the value of x can be found as 10
Step-by-step explanation: