What happens to a line when the y-intercept is changed ?
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notice the original blue line with a y-intercept of y = 1, it goes up 2 units, then goes down 3 units, notice what happens to the line.
so, the y-intercept acts like a seesaw, if you change it, the line goes over the seesaw.
Related Questions
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula
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[tex]A = A_ob^t[/tex]
[tex]3600 = 3000b^4[/tex]
Now we solve for b
[tex]3600 = 3000b^4[/tex]
[tex]\frac{3600}{3000} = \frac{3000b^{4}}{3000}[/tex]
[tex]\frac{6}{5} = b^4[/tex]
[tex]\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}[/tex]
[tex]\sqrt[4]{\frac{6}{5}} = b[/tex]
Now that we have found b, we can use the equation [tex]A = 3000b^t[/tex] to predict how many bacteria will be present after 10 hours.
[tex]b = \sqrt[4]{\frac{6}{5}}[/tex]
t = 10
[tex]A = 3000b^t[/tex]
[tex]A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732 [/tex]
Answer = 4732
Which of the following is a possible long-term health effect of stress?
A. heart disease
B. rapid breathing
C. heartburn
D. tense muscles
choose all that apply
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Identify the coefficients and variables in each expression. 5j-9cd+2 ??
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The degree is 2
The leading term is 9cd
Variables are nothing more than a placeholder. They stand for things that you want to find out but don't have the answer to yet.
The variables are j, c, and d.
the product of three consecutive nonzero integers
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Final answer:
To find the product of three consecutive nonzero integers, multiply the first number by the next two numbers in the sequence.
Explanation:
If the first integer is n, the next will be n+1 and the next to it will be n+2
The product of three consecutive nonzero integers can be calculated using the formula:
n * (n+1) * (n+2)= n(n^2 + 3n+ 2)=n^3 +3n^2 + 2n
where 'n' represents the first integer. For example, if we take 'n' as 2, the three consecutive nonzero integers would be 2, 3, and 4. So, the product would be 2 * 3 * 4 = 24= (2)^3+ 3*(2)^2+ 2*2
Find the product and simplify your answer. -4k^2(-3k^3+5k-5)
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= 12k^5 - 20k^3 + 20k^2 ...expand by using distributive property
hope it helps
3x-43=8 slove the equation
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Shift the - 43 to the other side and change it to +
3x = 8 + 43
3x = 51
Isolate x by shifting 3 to the other side, dividing 51 by 3.
X = 51 / 3
X = 17
[tex]3x-43=8[/tex]
Keep the variables aside, and the numbers aside.
[tex]3x = 8+43[/tex]
The operation changes as you isolate them
[tex]3x= 51[/tex]
Divide 51 by 3
[tex]x=51/3[/tex]
[tex]x=17[/tex]
Hope I helped (:
Have a great day!
5x-4(2x+11)=13
solve for x
show all work please
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So multiply -4x2x and -4x11.
5x-8x-44=13
Add all your like terms so 5x+-8x.
-3x-44=13. Now add 44 to both sides.
-3x= 57. Now divide both sides by -3 to get the x by itself.
x=-19
1)distribute the -4 to the numbers within the parenthesis.
5x-8x-44=13
2) next step you combine light terms.
''5x-8x=-3x''
so now you have -3x-44=13
3) add 44 on both sides
and you're left with -3x=57
4) divide both sides by -3 in order to solve for x; x divided by any number is always x, and 57divided by -3 is -19
5) so you're left with [n=-19] as your final answer
A country has a Gross Domestic Product (GDP) of $225. If the GDP deflator is 3, what would be the real GDP of the country? The real GDP of the country is
A. $225
B. $150
C. $200
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Hope this helps
B. $150
Which of these equations describe the line shown below check all that apply . plz don't give me the formula and tell me do it that way I'm not good at math I'll give 5 stars if you just give me the answer thanks
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What's the answer to
4.5 divided by 1.8
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Hope this helps
A sample is a sample that isn't representative of the entire population.
unbiased
systematic
biased
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_________________________________________________
Answer: The answer is biased :)
-4.31 x 3.09 + (-0.98)
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Parentheses
Exponents
Multiplication
(and/or)
Division
Addition
(and/or)
Subtraction
Solve the problem in this order. Since no operations are in the parentheses, we can skip that. The first operation we will do is multiplication. I can't really explain multiplication here, but you hopefully already know it, so multiply -4.31 by 3.09. Although there are negatives and decimals, treat it as a normal multiplication problem while doing the math.
This will give you -13.3179, just move the decimal point down, and since a positive is being multiplied by a negative, the answer is negative. Once you have this number, just add it to -0.98. This is the same as subtracting, since it is negative, so in other words, just subtract 0.98 from -13.3179, and you have your answer.
This would be -14.2979, or roughly -14.2.
Hope this helps! :)
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on monday and 65 on wednesday . Write and solve an inequality to find out how many blankets the team has to collect on friday?
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Answer:
Atleast 53
Step-by-step explanation:
We are given that your basketball team has a goal to collect atleast 160 blanket for a shelter.
Team member bought blankets on Monday =42
Team member bought blankets on Wednesday=65
We have to write an inequality and find the number of blankets has to collect on Friday.
Let x be the number of blankets bought by team members on Friday
According to question
[tex]42+65+x \geq 160[/tex]
[tex]107+x \geq 160[/tex]
Subtract 107 on both sides
[tex]107-107+x\geq 160-107[/tex]
[tex]x\geq 53[/tex]
Hence, team members bought atleast 53 blankets on Friday .
Please help with 12!!!!!
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3.because angle a and angle d equal each other, angles acb and dce equal each other
4.opposite interior angles equal each other
5.triangles equal each other for all the reasons above
40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
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Therefore, the percentage of the whole membership that belong to a cycling club is 12%.
Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?
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Answer:
Gina=35, Sara=33
Step-by-step explanation:
Gina's number is 2 more than Sara's.
Lets start by saying cookies as the number.
Sum = 2 numbers add together. The answer to the equation. Lik 5+5=10. 10 is the sum.
You only know that Gina has 2 more cookies than Sara.
If Sara has 3 cookies then Gina has 5 cookies. Whats the Sum? 8.
So, you figure out an random big number but, smaller than 68.
Lets do 68 to try now. So you do 68/2 = 34. You remember that Gina has 2 more than Sara. So, 35 cookies for Gina. So, you can guess that Sara has 33 cookies.
Two of the angles in a parallelogram measure 5x° and 7x°. what is the value of x?
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The value of x is 15.
What is parallelogram?"It is a quadrilateral with opposite sides parallel.""The opposite angles of parallelogram are equal. "For given question,
Two of the angles in a parallelogram measure 5x° and 7x°
The measure of an angle opposite to 5x° is also 5x°
Similarly the measure of an angle opposite to 7x° is also 7x°
So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°
We know, the sum of all angles of quadrilateral is 360°
⇒ 5x° + 7x° + 5x° + 7x° = 360°
⇒ (5 + 7 + 5 + 7) x = 360
⇒ 24x = 360
⇒ x = 15
Therefore, the value of x is 15.
Learn more about parallelogram here:
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The united states has 12,383 miles of coastline. If 0.8% of the coastline is located in Georgia, about how many miles of coastline are in Georgia
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0.8% * 12383
99.064 miles
Answer:
99.064 miles of coastline are in Georgia.
Step-by-step explanation:
Consider the provided information.
The united states has 12,383 miles of coastline and 0.8% of the coastline is located in Georgia.
Now we need to find about how many miles of coastline are in Georgia.
Thus solve this as shown:
0.8% of 12,383
[tex]\frac{0.8}{100} \times 12,383[/tex]
[tex]0.008 \times 12,383[/tex]
[tex]99.064[/tex]
Hence, 99.064 miles of coastline are in Georgia.
Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?
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Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{8-5}{1-2} = -\frac{3}{1} = -3[/tex]
Slope: [tex]-3[/tex]
Second, we must plug into point-slope form.
Formula for point-slope: [tex]y -y1 = m(x-x1)[/tex]
Plug in the values: [tex]y - 5 = -3(x - 2) [/tex]
And there you have your answer in point-slope form.
what is 50/12 in a mixed number
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4 1/6
A mixed fraction is when there is more than 1 whole i.e. 1 3/4
A improper fraction is when there is more than 1 whole i.e. 50/12
As you may have observed, the thing which differentiates a mixed fraction from an improper fraction is that a mixed fraction's numerator is never bigger than it's denominator.
:)
50/12 is an improper fraction,
To convert this into a mixed fraction, we can find out how many times 50 fits in 12: 50/12 = 4.16666
So we know there are 4 wholes, which as twelfths are 48/12;
We can then observe the difference between 50 and 48 is 2 twelfths
So 50/12 as a mixed number/fraction is 4 wholes and 2 twelfths
which can also be written as 4 2/12 and then simplified to 4 1/6
Use a trigonometric ratio to find the length of side ST.
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make sure your calculator is in Degree mode.
How many different types of cross sections of a cone are possible? A.3
B.5
C.6
D.10
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There are five different types of cross sections of a cone possible.
completa cada enunciado y escribe la proporción correspondiente. si por cada 21.000 se compran tres agendas ¿ con cuanto se compran nueve?
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Write the standard form of the line that contains a slope of -1/2 and y intercept of 1
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y= -1/2x + 1
In the equation y = 2x -3 if x = 3, what is the ordered pair of the solution?
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The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers
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Can someone please help me and like show and explain how to get the answer?
Layla is on page 30 of her book and reads 3 pages every night. Sidney is on page 40 of the same book and reads 2 pages every night. How long will it take for Layla to be further in the book than Layla?
A) 3 nights
B) 11 nights
C) 15 nights
D) 71 nights
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A couch and coffee table cost a total of $1053. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
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Two cars leave new york at the same time traveling in opposite directions. one travels at an average speed of 77 mph and the other at 63 mph. in how many hours will they be 280 miles apart?
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The number of hours will they be 280 miles apart will be 2 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Two vehicles leave new york simultaneously going in inverse headings. one goes at a typical speed of 77 mph and the other at 63 mph.
The relative speed is given as,
S = 77 + 63
S = 140 miles per hour
The number of hours will they be 280 miles apart will be calculated as,
Time = 280 / 140
Time = 2 hours
The number of hours will they be 280 miles apart will be 2 hours.
More about the Algebra link is given below.
https://brainly.com/question/953809
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While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. write an expression in simplest form that represents the number of fireflies you and your friend caught together?
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=(9m^2+78m+169)+(16m^2+48m+36)
=25m^2+126m+205