Answer:
(a+b) (a-b+6)
Samantha is solving the following system of equations using the method of substitution: 3x + 2y = 11 - x + y = 3 The following are Samantha's first two steps. y= x + 3 3x + 2(x+3) =11 HINT: Solve the bottom equation for x and then plug that value back into the first equation to solve for y. Arrange the steps below to match the order you used to do this.
Place each of the remaining steps in the appropriate order to finish solving the system of equations.
1 5x =5
2 (1,4)
3 y=4
4 x=1
5 3x + 2x + 6 = 11
6 5x + 6 = 11
7 y= 1 + 3
Which ordered pair is the solution to the system of linear equations displayed on the graph below?
HINT: The solution is the point where the two lines intersect. What is the x coordinate and y coordinate at that point of intersection?
A:[tex](0,-\frac{3}{2} )[/tex]
B:[tex](-\frac{3}{2},0)[/tex]
C:[tex](0,\frac{3}{2}[/tex]
Which of the following inequalities can be represented by the graph below?
HINT: Can you find the equation for the boundary line? What is its y-intercept? What is its slope? Note that the region above the line is shaded.
A:[tex]y\geq2x-2[/tex]
B:[tex]y\geq \frac{1}{2}x-2[/tex]
C:[tex]y\geq \frac{1}{2}x +2[/tex]
Answer:
According to the numbers provided, the sequence is:
5, 6, 1, 4, 7, 3, 2
Solution of the two lines intersecting in the graph is answer B
The inequality that represents the graph is that of answer A
Step-by-step explanation:
First problem:
This is the sequence to solve for "x" once the substitution was made;
[tex]3x +2\,(x+3)=11\\3x+2x+6=11\\5x+6=11\\5x=11-6\\5x=5\\x=1\\[/tex]
Now that we know x, we use its value (1) in the substitution equation in order to find "y" and complete the ordered pair:
[tex]y=x+3\\y=1+3\\y=4[/tex]
Then the solution pair (x, y) is: (1, 4)
Therefore, according to the numbers provided in the list of possible steps, the order is:
5, 6, 1, 4, 7, 3, 2
Second problem:
The solution to the system is where the two lines two lines intersect: "the point -1.5 on the x axis. Notice that -1.5 can be written in fraction form as -3/2, this is the x-coordinate of the intersection point. The y-coordinate is y-0 since the point is on the x-axis. Therefore the point is (-3/2, 0) which is given by answer B).
Third problem: The boundary line seems to go through the points: (-4, -10) and (0, -2), so we can calculate the slope via the equation:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-2-(-10)}{0-(-4)}\\slope=\frac{8}{4}\\slope=2[/tex]
since the line's y-intercept is (0, -2), then the equation of the boundary line in slope-intercept is:
[tex]y=2x-2[/tex]
Since the shaded region includes the boundary line and the zone above it (with y-values larger than or equal to those point in the line), we can say that the inequality that represents this graph is:
[tex]y\geq 2x-2[/tex]
which corresponds to answer A
Answer: A
Step-by-step explanation: use the formula
12+3·(11−15) =
what is the answer
Answer:
0
Step-by-step explanation:
12+3×(-4)=
=12+(-12)=
=12-12=0
Answer: 0
Step-by-step explanation:
Since 11 - 15 is in parenthesis you have to do that first and 11 - 15 = -4.
The next step is to multiply 3 and -4 which would be -12
The last step is to add 12 + -12 which equals 0.
What can you tell about the mean of each
distribution?
A.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is
about 10 times the MAD. This is a small difference.
B.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is
about 20 times the MAD. This is a small difference
C.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is
about 5 times the MAD. This is a large difference
D.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cots at No Ruff Stuff Animal Hospital is
about 10 times the MAD. This is a large difference
Answer:
C. 5 times the MAD
Step-by-step explanation:
The difference between the mean cost to treat dogs at No Ruff Stuff Animal Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is about 5 times the MAD. This is a large difference.
The correct option is C.
What is the mean?In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the number of observations).
Given:
The mean cost to treat dogs at No Ruff Stuff Animal Hospital is $224.65.
And MAD = $20.52
The mean cost to treat cats at No Ruff Stuff Animal Hospital is $124.84.
And MAD = 19.75.
The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is,
= 224.65 - 124.84.
= 99.81
= 5 x 19.75
Therefore, the difference is 5 times MAD.
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Select the correct answer.
What is the equation of this graph?
A.
(y + 4)^2 = -8(x − 5)
B.
(y − 5)^2 = -8(x + 4)
C.
(x + 4)^2 = -8(y − 5)
D.
(x − 5)^2 = -8(y + 4)
Answer:
D
Step-by-step explanation:
plato
The equation of this graph would be (x − 5)^2 = -8(y + 4). So option D is correct.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point then for some polynomial functions, we have those as roots of the polynomial.
Hence, the equation of this graph would be (x − 5)^2 = -8(y + 4).
So option D is correct.
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On a quiz there are four multiple-choice questions worth 3 points each and two true/false questions
worth 1 point each. Each multiple-choice question has five possible choices. If a student randomly
guesses on each question, what is the expected value of the student's score on the test?
a 1.8
b 5.4
c 3.4.
d 2.8
Answer:
C. 3.4
Step-by-step explanation:
We need to find expected value, which is essentially the value that we expect to get based on the amount of each "thing" at hand.
Here, we have 4 multiple-choice questions worth 3 points each and 2 true/false questions worth 1 point each. Each multiple-choice question has 5 possible answers, so the probability that you get that multiple-choice question correct is 1/5. Similarly, each true/false question has 2 possible answers, so the probability that you get that question right is 1/2.
Expected value, denoted by E(x), has the formula:
E(x) = ∑ xp(x), where x is the number of points you get per problem here and p(x) is the probability of getting the problem correct
E(x) = 4 * 3 * (1/5) + 2 * 1 * (1/2) = 12/5 + 1 = 17/5 = 3.4.
The answer is thus C.
Answer:
C. 3.4
Step-by-step explanation:
P(correct MCQ) = ⅕
P(correct T/F) = ½
4×3×⅕ + 2×1×½
2.4 + 1
3.4
A quality control inspector rejected 253 Can openers from a batch of 19,354 what is the experimental probability that a can opener will pass inspection round your answer to the nearest hundredth
Answer:
0.01
Step-by-step explanation:
19,354/253=76.498 or 76.5 Also it makes more sense than 0.98,o.99, and 0
(2x+3y) + (5x+3y) = 4 +-8
Answer:
Step-by-step explanation:
please help me quick
Answer: D. (-5 < 5)
Step-by-step explanation:
-5 is NOT greater than its opposite (5)
write an expression for the product of 5 and 7 increased by 4
Answer:
(5(7)) + 4
Step-by-step explanation:
It shows in the parentheses it is 35 + 4 = 39
Mark reads 15 pages in 2 days how much can he read in 1 day?
Answer:
7.5 pages
Step-by-step explanation:
We are given that Mark reads 15 pages in two days. We only need to divide 15 by 2.
15 ÷ 2 = 7.5
Mark should read 7.5 pages per day.
Mark can read 7 and half page in 1 day.
Look at the attached picture
Hope it helps...
good luck on your assignment
Can someone help out
Answer: 1
Step-by-step explanation: Rise/Run, pick two points and use the formula (y2-y1)/(x2-x1)
Answer:
1
Step-by-step explanation:
the function is
f(x) = x - 2.
This is in m(x) + b form, so whatever is before the x is the slope. Since X is just by itself, the slope is 1.
What is the slope of the line? y+3= -4(x+7)
Answer:
Slope = -8.000/2.000 = -4.000
x-intercept = -31/4 = -7.75000
y-intercept = -31/1 = -31.00000
Step-by-step explanation:
1: Graph of a Straight Line
2: Calculate the Y-Intercept
3: Calculate the X-Intercept
4: Calculate the Slope
5: Geometric figure: Straight Line
Answer: Slope = -8.000/2.000 = -4.000
Hope this helps.
Answer:
-4
Step-by-step explanation:
What value should go in the empty box to complete the calculation for finding the product 73.458 × 0.39?
Answer:
28.64862
Step-by-step explanation:
Answer:
28.64862
Step-by-step explanation:
That's the work in the picture
Move the decimal 5 places instead of 3
help question is in attachment
Answer:
As the angles are supplementary, their sum is 180
123 + 3x = 180
3x = 57
x = 19
Answer:
x° = 19°
Step-by-step explanation:
[tex] = > 123 \degree + 3x \degree = 180 \degree \\ \\ = > 3x\degree = 180\degree - 123\degree \\ \\ = > 3x\degree = 57\degree \\ \\ = > x\degree = (\frac{57}{3} )\degree \\ \\ = > x\degree = 19\degree [/tex]
The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesis x right parenthesis equals 3.5 square root of x plus 38 models the percentage of U.S. women in the labor force, f left parenthesis x right parenthesis , x years after 1960. Use this formula to solve the following questions.
US women in Labor ForceAccording to the model above, approximately what percentage of women will be a part of the work force in 1996? Does the given bar graph verify this result? Explain why or why not. Use complete sentences and proper labels to answer.
Answer:
59% of women will be a part of the work force in 1996
According to the bars, the percentage was in the range of 57.5 - 60.2. This verify the previous result.
Step-by-step explanation:
In the figure attached, the bar graph is shown.
f(x) = 3.5√x + 38
where f(x) models the percentage of U.S. women in the labor force x years after 1960. In 1996, x = 1996 - 1960 = 36. Replacing it into the equation:
f(36) = 3.5√36 + 38 = 59%
State the range of:
(3,5) (4, 9) and (7, 2)
Whats the range
Hey!!!
Range={5,9,2}
Hope it will help you ..
Good luck on your assignment
a. The farmer's market sells
apples for $2 per pound and
oranges for $1 per pound.
Marjorie has $10 to spend.
The function y = 10 2x
represents the number of
apples x and oranges y
Marjorie can purchase. Graph
the function and interpret
the points graphed.
Answer: here is an attachment of the answer, hope it helps you out
A huge frog ate 140 big bugs in 5 days. Each day, it ate 8 more bugs than it did on the previous day.
How many bugs did the frog eat on....
the first day?
the fifth day?
Can you please help
On the first day the frog ate 12 bugs
second day the frog ate 20 bugs
third day the frog ate 28 bugs
fourth day the frog ate 36 bugs
fifth day the frog ate 44 bugs
√(11 - 6 √(2))
(not decimal form)
Answer:
[tex]\huge\boxed{\sqrt{11-6\sqrt2}=3-\sqrt2}[/tex]
Step-by-step explanation:
[tex]\sqrt{11-6\sqrt2}=(*)\\\\11=9+2=3^2+(\sqrt2)^2\\6\sqrt2=(2)(3)(\sqrt2)\\\\(*)=\sqrt{3^2-(2)(3)(\sqrt2)+(\sqrt2)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(3-\sqrt2)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|3-\sqrt2|=3-\sqrt2\\\\^{\text{because}\ 3>\sqrt2\to3-\sqrt2>0}[/tex]
What is an
equation of the line that passes through the points (-3,8) and (4,1)?
Answer: y= -1x + 5
Step-by-step explanation:
(-3,8) ( 4,1)
8-1= 7
-3-4 = -7
7/-7 = -1 so the slope is -1 so we will use the formula y=mx+b to find the y-intercept
8= -1(-3) + b
8= 3 + b
-3 -3
b= 5 so the y intercept is 5 now we will write the equation like this y= -1x + 5
need help pleasse!!!!!!!!!
Answer:
D
Step-by-step explanation:
Answer: the answer is i
What is the product of 7/10 x 5/6 written in simplest form
Answer:
7/12
Step-by-step explanation:
Answer:
its 21 am I right ......
ANSWER ASAP!!
remember to show work
Answer:
1. 7x+5y=19
(+)-7x-2y=-16 step one
____________
[tex]\frac{3y}{3\\}[/tex]=[tex]\frac{3}{3}[/tex] step two
y=1
____________
since you have the value of y u can plug it in in either of the equations.
7x+5(1)=19 step three
____________
7x+5-5=19-5 step four
____________
[tex]\frac{7x}{7}[/tex]=[tex]\frac{14}{7}[/tex]
x=2 step five
____________
You can check whether the answers are correct by plugging them back in.
7(2)+5(1)=19
14+5=19
19 equals 19 so it checks.
You can do the same thing for the rest.
Find the volume of this trapezoidal prism.
Answer:
V=264
Step-by-step explanation:
♡Rectangular prism= 12×5×4=240
♡Triangular prism= 5×3×4×4=24
♡240+24=264
Hopefully that helps!
and hopefully I did it right!
I tried my best!!
The volume of the trapezoidal prism comes to be 312 cubic units.
What is the volume of a prism?The volume of a prism is the product of the base area and its height.
So, the volume of the given prism = area of trapezoidal base * height
Area of the trapezoidal base = 0.5 * (sum of parallel sides) * distance between parallel sides.
Area of the trapezoidal base =0.5 * (8+5) * 4
Area of the trapezoidal base =26 square unit
So, the volume of the given prism = 26*12 = 312 cubic units.
Hence, the volume of the trapezoidal prism comes to be 312 cubic units.
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If someone can do both I’d appreciate it! I’ve been up for awhile trying to fingers these out.
Answer:
3. AGH= 150
4. CHF= 110
Step-by-step explanation:
3. AGH corresponds to CHF, so they equal the same. AGH = 150
4. BGE is vertical to AGH, so they equal the same AGH = 110. AGH corresponds to CHF, so they equal the same. CHF=110.
Answer:
3. 150. 4. 110
Step-by-step explanation:
This should be right.
Which best describes the type of association shown in this scatter plot?
•no association
•non-linear association
•positive linear association
•negative linear association
Answer:
Negative linear association/correlation.
Step-by-step explanation:
The type of association that is shown in the scatter plot is negative linear association since it declining at a steady rate with a few outliers. It resembles a line going downwards or sloping downwards.
The best describes the type of association shown in this scatter plot is,
⇒ negative linear association
We have to given that,
A scatter plot is shown in figure.
Since, this scatter plot declining at a steady rate with a few outliers.
And, It resembles a line going downwards or sloping downwards.
Hence, The type of association that is shown in the scatter plot is negative linear association.
Thus, The best describes the type of association shown in this scatter plot is,
⇒ negative linear association
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HELP ME PLZ
if the radius of a circle is 17 cm, then the diameter of the circle is 34 cm. If the diameter is 34 cm, then circumference of the circle is approximately 107 cm. Determine if both statements are TRUE or FALSE.
Group of answer choices
Answer:true
Step-by-step explanation:
Because to find circumference is pie(3.14) times 34 should equal about 107 if rounded
If m 4= 138, then what is m 5 ?
42
48
138
142?
Answer:
42
Step-by-step explanation:
im pretty sure I got this right I did it in my head
Answer:
m 5 = 42
Step-by-step explanation:
A line is 180 degrees. m 4 = 138 degrees. 180 - 138 = 42 degrees. this makes m 1 = 42 degrees and m 5 is equal to m 1.
The perimeter of a rectangle is 34 units its width is 6.5 Units
Write an equation to determine the length(l) of the rectangle.
Answer: Length=10.5
Step-by-step explanation: P=34 and W=6.5. This can also be known as Perimeter=W+L+W+L=2(W+L). In this case, it would be 34= 2(6.5 +L). 34=13+2L.(The 2L's are crossed out now because they cancel both out)
-2L -2L (There is a line going down at the equal sign.
34+-2L=13 Subtract 34 from both sides and cancel the two 34's out)
-34 -34
-2L=-21 (Divide both sides by -2) (Cancel out the -2's)
/-2 /-2
L = 10.5
If the spinner is spun 40 times, predict the number of times the spinner would land on Section B
A. 11
B. 10
C. 5
D. 4
Answer:
11
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Since the spinner is equal divide into 4 parts
Thus, each is 1/4
40 * 1/4 = 10
Answer = 10
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