Answers
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
Related Questions
Find the area of the figure. Use 3.14 for π.
Answers
Total Area:- Area of square + area of Semicircle
Total area :- (L×B)+ (½× πr²)
Total area:- (12×12)+(½×π6²)
Total area:- 144+(½× 113)
Total area:- 144+ 56.5
Total area :- 200.5
Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]
Answers
Answer: 7(n + 1)(n - 1)
Step-by-step explanation:
[tex]7n^2-7[/tex]
[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]
[tex]=7n^2-7\cdot \:1[/tex]
[tex]$$ Factor out the common term 7[/tex]
[tex]=7\left(n^2-1\right)[/tex]
[tex]$$ Factor $n^2 - 1[/tex]
[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]
[tex]=n^2-1^2[/tex]
[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]
[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]
[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]
At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using
the scale 100 meters: 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Answers
Answer:
Scale: 100 meters per 1 meter
Actual: 316 per unknown meters(our scale)
So order our units:-
Scale 1 x_______ _______ = _______, solve for x;
Meters 100 3161/100 = x/316
*316 *316
3.16 = x, 3.16 rounded = 3.20 is the scale.
N is an integer and -2
Answers
Answer:
(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.
Step-by-step explanation:
(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)
(3) For this let's separate it into -2<n+3 which solving gets us n > -5
Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5
The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)
once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.
(a). The solution is [tex]n > 6[/tex]
(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
Inequality:(a). The given inequality is;
[tex]15n > 12n+18[/tex]
Now we have to solve inequality,
[tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]
(b). Inequality is [tex]-2 < n+3\leq 4[/tex]
Now we have to solve inequality,
[tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]
So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
Learn more about the inequality here:
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six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answers
Answer:
1200
Step-by-step explanation:
600 in grams = 600 x 1000
= 6 x 10^5
(6 x 10^5) / 500 = 1200.
Answer:
1200 packets
Step-by-step explanation:
1 kg = 1000 gram
600 kg = 1000 × 600 = 600,000
now,
packets of tea were ( 600000 ÷ 1000) = 1200 packets
AB - CD + 2D x A x (AC - BD
also i know it says im old but im in middle school
b=4 a=3 c=6 d=2
Answers
12-12+4x3x(18-8)
12-12+4x3x10
12-12+120
12-132
=-120
Round 77.1110969489 to the nearest hundred-thousandth
Answers
Solve each system by substitution. Show all work.
y = -3x
y= x-4
Answers
since y = - 3x and y = x - 4
we have
- 3x = x - 4
4x = 4
x = 1
and then y = - 3 * 1 = - 3
(1 ; - 3)
Answer:
(1,-3)
Step-by-step explanation:
y = -3x
y= x-4
Substitute -3x for y in the second equation
-3x = x-4
Subtract x from each side
-3x-x = x-4-x
-4x = -4
Divide each side by -4
-4x/-4 = -4/-4
x=1
Now we can find y
y = x-4
y = 1-4
y= -3
(1,-3)
Which algebraic expressions are binomials? Check all that apply.
xyStartRoot 8 EndRoot
x2y – 3x
6y2 – y
y2 + StartRoot y EndRoot
4xy – two-fifths
x2 + StartFraction 3 Over x EndFraction
Answers
The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
What are polynomials?Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example:
[tex]x^3 + 3x +5[/tex]
is a polynomial consisting 3 terms as
[tex]x^3[/tex], 3x and 5
If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomialChecking all the options:
Option 1: [tex]xy\sqrt{8}[/tex]It has only one term, so its not a binomial.
Option 2: [tex]x^2y - 3x[/tex]It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial. And because of two terms and being polynomial, it is binomial.
Option 3: [tex]y^2 + \sqrt{y}[/tex]Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.
Thus, its not a polynomial.
Option 4: [tex]4xy - 2/5\\[/tex]Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.
Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]we can write the second term as:
[tex]\dfrac{3}{x} = 3x^{-1}[/tex]
Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.
Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
Learn more about binomials here:
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please help i am confused.
Answers
This is because C and F do not join on the shape
Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.
Answers
answer:ok
there are 3 and one fith apples
he need 4
apples
he adds 5/8
apples to his basket
how many apples doess he end up with
Step-by-step explanation:you add them together
Based on data from two very large independent samples, two students tested a hypothesis about equality of population means using α = 0. 2. One student used a one-tail test and rejected the null hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might have been their calculated value of t?
Answers
Based on the calculations, the most likely value of t is equal to 2.2.
Given the following data:
[tex]\alpha =0.2[/tex]What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];
[tex]H_o: P(Z > |\delta|) < 0.02[/tex]
For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];
[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]
Next, we would determine the positive value of z-score that satisfies this expression;
[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]
From the z-table, we have:
[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]
Therefore, t = 2.2.
Read more on null hypothesis here: https://brainly.com/question/14913351
expand and simplify (x+3)(x+5)
Answers
Answer:
(x+3)(x+5)
x( x + 5) +3 ( x + 5)
x² + 5x + 3x + 15
x² + 8x + 15
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find t, the amount of time he plays video games, for each of the 3 days.
Answers
Answer:
t < 1.5
Step-by-step explanation:
Mon-Thu: 5.5 hours
each of the remaining 3 days: t hours each day
total time: 3t + 5.5
The total time must be less than 10 hours.
3t + 5.5 < 10
3t < 4.5
t < 1.5
Benito made a small pitcher of fruit punch. He mixed together lemonade and cherry juice. Use the picture to find the amount of juice Benito made. A 9 liters В 100 milliliters C 900 milliliters D2 liters 900 milliliters
Answers
The amount of juice by Benito is an illustration of volumes
The amount of juice made is 900 milliliters
How to determine the amount of juice made?The question is incomplete, as the figure and the dimensions are not given.
So, I will give a general solution
Assume the following parameters
Shape of the punch = CylinderRadius = 4Height = 18The amount of juice would be:
V = πr^2h
This gives
V = 3.14 * 4^2 * 18
Evaluate
V = 904.32
Approximate
V = 900
Hence, the amount of juice made is 900 milliliters
Read more about volume at:
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Please answer asap, 30+ points
Answers
Step-by-step explanation:
please mark me as brainlest
How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?
Answers
in essence, how many times does 1/4 go into 6 and 1/2?
[tex]\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}\div \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26[/tex]
A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
Answers
The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches
How to find the diagonal of a rectangular prism?
Diagonal of a rectangular prism = √(l² + w² + h²)
Where,
l = lengthw = widthh = heightTherefore,
l = 6 inches
w = 3 inches
h = 8 inches
diagonal = √(6² + 3² + 8²)
diagonal = √36 + 9 + 64
diagonal = √109 inches
learn more rectangular prism here:https://brainly.com/question/21888893
HELP!!!!!HELPPPPPPPPP!
Answers
Answer: answer C.
Step-by-step explanation: you have to add and divide
In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount
Answers
Answer:
8 more pieces
Step-by-step explanation:
First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.
Hopefully this helps- let me know if you have any questions!
Which student solved the equation 107 d = 1,733.4 correctly?
Gianna's work: 107 d = 1,733.4. 1,733.4 times 107 = 185,473.8.
Teddy's work: 107 d = 1,733.4. 1,733.4 minus 107 = 1,626.4.
Sid's work: 107 d = 1,733.4. 1,733.4 + 107 = 1,880.4.
Sammi's work: 107 d = 1,733.4. 1,733.4 divided by 107 = 16.2.
Answers
Answer:
Sammis work is correct
Step-by-step explanation:
when handling equations such as 107d= 1,733.4
you see that d is being multiplied to 107 to equal the total,
so to find the answer to d you would divide 107 by the total to get your value of d
Answer:the last one
Step-by-step explanation:
three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?
Answers
Answer:
112
Step-by-step explanation:
Sum of interior angles in quadrilaterial = 360
360 - 100 - 104 - 44 = 112
Step-by-step explanation:
Let the 4th angle = x
Now,
x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)
x + 248 = 360°
x = 360° - 248
x = 112
Hence, the fourth angle is 112....
8,14,20, Find the 49th term.
Answers
Answer:
2,8,14,20...… the 49th term is 294.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
294
Step-by-step explanation:
formula
an=a1 +(n-1)d
n= unknown term
d= difference between each term
8=a1
14=a2
20=a3
a49=8+(49-1)×(6)
a49= 8+ 48 ×(6)
a49= 8+ 288
a49= 294
The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.
Answers
Answer:
23 square meter from Nthabiseng Selina Tsolo
What strategy would be the best to solve this problem?
To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. If he continues, how many minutes will Miles run on Sunday?
A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns
Answers
Answer:
D. look for patternsStep-by-step explanation:
Number the weekdays, and relevant time, then look for the pattern
Monday = 1, time = 1 minTuesday = 2, time = 3 minWednesday = 3, time = 6 minThursday = 4, time = 10 minFriday = 5, time = xSaturday = 6, time = ySunday = 7, time = zWe get the series:
1, 3, 6, 10, x, y, zIf you notice, the difference between the terms is:
2, 3, 4, ...It indicates the following terms are:
x = 10 + 5 = 15y = 15 + 6 = 21z = 21 + 7 = 28Since z represents the seventh term, the running time on Sunday is 28 minutes.
As we see looking for patterns helped to solve the question.
Correct choice is D
Answer:
D
Step-by-step explanation:
Because its D
Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?
a 1 113 words
b 3 113 words
c 1 330 words
d 1 130 words
Answers
1hour=600
2hour=600+600
=1200words
per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13
Answers
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
PLS HELP ILL MARK AS BRAINLIEST PLSS
Answers
Answer:
10%
Step-by-step explanation:
I think it's right lol but I could be wrong I forgot a lot of this stuff
but out of all the data it goes from 22-42 so 20 points in total
there is only 2 of the data points behind 24, so it is 2/20 or 10%
If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?
Answers
The coefficient of determination is the ratio of the sum of squares regression and the ssy
The sum of squares regression is 27
How to determine the sum of squares?The given parameters are:
Coefficient of determination, R^2 = 0.12
SSy = 225
The coefficient of determination is calculated as:
R^2 = SSR/SSY
So, we have:
0.12 = SSR/225
Make SSR the subject
SSR = 0.12 * 225
Evaluate the product
SSR = 27
Hece, the sum of squares regression is 27
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The sum of squares regression is 27
What is the coefficient of determination?The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.
The coefficient of determination is calculated by using the following formula;
[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]
Hence, the sum of squares regression is 27.
Read more about coefficient of determination at:
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#SPJ3
Please help me with this please and thank you
Answers
Answer:
B
Step-by-step explanation:
the common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4
Answer:
B 4
Step-by-step explanation:
Divide any number (other than the first one) in the sequence by the previous number.
12/3 = 4
48/12 = 4
Answer: B 4