Answer:
22 divided by 6 is about 3.67
Step-by-step explanation:
f(x) = 10x +3
g(x) = -7x-4
What does (f- g) (x) equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
Answer:
f-g=10x+3-(-7x-4)
=10x+3+7x+4
=17x+7
(f-g)(x)= 17x+7
Answer:
17x + 7
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = 10x + 3
g(x) = -7x - 4
Simplify:
(10x + 3) - (-7x - 4)
(10x + 3) - (-7x) + - (- 4)
10x + 3 + 7x + 4
17x + 7
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#3. estimate the perimeter and area of the figure to the nearest whole number
Answer:
Perimeter = 29 unitsArea = 37 square unitsStep-by-step explanation:
Perimeter
1 + 2(3) + 6 + 8 + √(5² + 6²)15 + 6 + √6121 + 8 (nearest whole number)29 unitsArea
2 x 2 + 3 x 6 + 1/2 x 5 x 64 + 18 + 1537 square unitsWhat is the value of x when [tex](f°g)(x)=-8[/tex]
According to the table,
f(x) = -8 ⇒ x = -4
and according to the definition of g(x),
g(x) = -4 ⇒ x = 3
Then
(f o g)(x) = f(g(x)) = -8 ⇒ g(x) = -4 ⇒ x = 3
Compute a value for x that satisfies the equation below.
-x + 5 = 1
A. x=4
B. x=-1
C. x = 0
D. X= 4
Step-by-step explanation:
-4+5
=1
therefore the answer is A.
Answer:
D) x=4
Step-by-step explanation:
-x+5=1
-x=1-5
-x=-4
x=4
Solve for x, y and z. Round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
The following histogram represents the heights of the students in Ari's classroom. Identify at least three things that you
can infer from the histogram about the distribution's center, spread, and overall shape.
Answer:
We can identify that the histogram is skewed to the left (more on the left) the center would be 3 and the spread is saying more students are between 58-59 and 60-61 inches were as there is only 3 for the rest
Step-by-step explanation:
I hope this helps I have the same question and this is what I wrote for my answer
which of the following plotted points on the graph represent the zeros of the function g(x) = (x^2 - 3x - 10)(x + 4)
Answer: The answer would be (-2,0),(-4,0), and (5,0)
Step-by-step explanation:
Guessing the answer choices are
(-2,0)
(4,0)
(0,10)
(-4,0)
(0,-2)
(0,-10)
(5,0)
Evaluate 2(5a – 2) a=3
Please solve
Answer:
26
Step-by-step explanation:
a=3
2(5x3-2)
5x3=15
15-2=13
2x13=26
Can someone help me?
Answer:
[tex]2x - 2y = 24 \\ 2(x - y) = 24 \\ x = 12 + y......eq(1) \\ 4x + 7y = - 40......eq(2) \\ substituting \: the \: value \: of \: x \: in \: eq(2) \\ 4(12 + y) + 7y = - 40 \\ 48 + 4y + 7y = - 40 \\ 11y = - 40 - 48 \\ y = \frac{ - 88}{11} \\ y = - 8 \\ putting \: the \: value \: of \: y \: im \: eq(1) \\ x = 12 - 8 \\ = 4[/tex]
Step-by-step explanation:
3x-2y=24......eqi
x+2y=48........eqii
now solving eq i&ii
4x=72
x=72/4
x=18
now putting the value of x in eqii
18+2y=48
2y=48-18
y=30/2
y=15
g+6 ≥ 5 I need help I don't know how to do it
Answer:
you will subtract 6 from 5 then your answer will be g ≥ -1
Step-by-step explanation:
hope this helps
A chocolate bar measures 30 mm wide, 70 mm long, and four and one over two mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper.
Answer:
minimum of 5100 mm^2
Step-by-step explanation:
Surface area 2 * ( 70 * 30 + 70 * 4.5 + 30* 4.5) = 5100 mm^2
Question 6
Points 1
Anne measured the volume of an object and recorded it as 46 cubic cm which
was 15% high from the actual volume. Find the actual volume.
Answer:
Actual volume = 40 cm^3.
Step-by-step explanation:
15% = 0.15 as a decimal fraction.
Let the actual volume be x cm^3, then we have the equation:
x + 0.15x = 46
1.15x = 46
x = 46 / 1.15
= 40 cm^3.
Andrew and Katherine rode their bikes and met at a park.
Andrew’s house was 8 miles from the park, Katherine’s house was 5 miles from
the park. They each left their house at the same time and Andrew arrived 10
minutes after Katherine arrived. Katherine’s average speed was 2 mph slower
than Andrew’s average speed. {hint: UNITS matter!}
a. Write an equation to represent this data.
b. What was Andrew’s average speed?
Answer:
10 min = 1/6 hour
Now we make Andrew's average speed v mph so Katherine's average speed is (v-2) mph
a. 8/v - 5/v-2 = 1/6 [distance = speed x time]
b. 8/v - 5/v-2 = 1/6 , v > 2
8/v - 5/v-2 = 1/6 = 0
48(v-2) -30v-v-(v-2)/6v(v-2) = 0 [transform the expression]
20v-96-v^2/6v(v-2) = 0
20v-96-v^2 = 0
(v-8)(v-12) = 0
{v1=8}
{v2=12}
Step-by-step explanation:
Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Write the equation of a line perpendicular to y=-12x+2 going
through (0, -1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, let's take a look at our provided information:-
A line [tex]\text{y=-12x+2}[/tex]A point (0, -1)The line [tex]\text{y=-12x+2}[/tex] is perpendicular to the line that goes through (0, -1)If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.
So we take the slope of the given line, which is -12, change its sign from minus to plus:-
[tex]\Large\textit{12}[/tex]
And now, We flip the number over:-
[tex]\Large\text{$\displaystyle\frac{1}{12}$}[/tex]
Now that we've found the slope of the line, let's find its equation.
The first step is to write it in point-slope form as follows:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace letters with numbers,
[tex]\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}[/tex]
On simplification,
[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}[/tex]
Subtracting 1 on both sides,
[tex]\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}[/tex]
[tex]\Uparrow\texttt{Our equation in slope-intercept form}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
need answer guys
Answer:
26. c. 6 cm
27. c. 70 cm³
Step-by-step explanation:
Question 26
Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cmQuestion 27
Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³Question 28 (not entirely visible)
Solve:
1)
Find Width
10 * W * 6 = 360
W = 360/60
W = 6 cm
2)
Volume
LWH
(2)(7)(5)
70 cm³
3)
Volume
LWH
(7)(3)(4)
84 m³
Part D What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?
Part F about what is the average change in distance for each increase of 1 iron number? what does this mean in terms of the situation
The y-intercept of the correct graph is 185 and y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.
What is y-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the y-axis.
In the graph it can be seen that the correct graph is intersect y-axis at the value 185. Thus, the y-intercept of the correct graph is 185.
c=185
For the incorrect graph this value is 195. Thus, the y-intercept of the incorrect graph is 195.
b=195
Here, the values of y-intercepts are not the same-
c≠b
185≠195
The average change in distance for each increase of 1 iron number is,
[tex]r=\dfrac{155-145}{3-4}\\r=-10[/tex]
Thus, the y-intercept of the correct graph is 185 and y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.
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Grade 8 Mathematics level 3
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
What is an Equation?
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
√( 1 + (25/144) ) = 1 + (x/12)Find the value of x.First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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are the breadth of your books perpendicular to their lengths
The breadth of your books are perpendicular to the length because they meet at right angles.
How to know perpendicular lines?
The shape of a book is a rectangle. A rectangle has four enclosure. This means they are formed by 4 lines.
The opposite sides are equal in length.
The sides of the book has a pair of breadth and a pair of length.
The breadth and length are straight lines.
When this straight line meets, it forms a right angle(90 degrees). This means the breadth and the length are perpendicular to each other.
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Help me out here guys! Will give points and rate, thank you in advance.
Which system of inequalities is graphed below?
(p.s: can’t make great than less than or equal to signs on my phone)
A. y less than or equal to -2/3x+5 and y>x-3
B. y<-2/3x+5 and y greater than or equal to x-3
C. y greater than -2/3x+5 and y
D. y>-2/3x+5 and y less than or equal to x-3
Answer:
Its A
Step-by-step explanation:
Its A
There are 34 students and five teachers going on a trip if each ticket costs $9.50 how much money do they need to raise
What is a name for the marked angle?
Answer: [tex]\angle BAD[/tex]
Reason:
The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.
We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.
Ignore point C, and ignore ray AC entirely.
Answer:
(b) ∠BAD
Step-by-step explanation:
An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.
Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...
∠BAD
It can also be called
∠DAB
The function is defined over the interval [2, 5]. if the interval is divided into equal parts, what is the value of the function at the right endpoint of the th rectangle?
The value of the function at the right endpoint of the rectangle is 5 +6k/n.
What is the endpoint about?In the question above;
Th width of the interval is said to be (5 -2) = 3.
So, the width of one of n parts of it = 3/n
To solve for the differences that exist between the left end point of the interval and the value of x at the right end of the k-th rectangle, one can say that:
k·(3/n) = 3k/n
Note that the value of x at shows the point of difference added to the interval's left end and thus it will be: 2 + 3k/n
Therefore, the value of the function for the value of x will be:
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
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The neighborhood movie store rents a game machine for $12.50 plus $1.50 per day. the downtown store rents the same machine for $4 per day with no initial fee. after how many days will the total rental charge be the same for each store?
In 5 days the total rental charge is the same for each store.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
A movie store rents a game machine for $12.50 plus $1.50 per day. The downtown store rents the same machine for $4 per day with no initial fee.Let x be the days. The two-equation will be formed as:-
Total amount = 1.5x + 12.5
Total amount = 4x
For the same total amount, we will equate the two equations.
1.5x + 12.5 = 4x
12.5 = 4x - 1.5x
12.5 = 2.5x
x = 12.5 / 2.5
x = 5 days
Therefore In 5 days, the total rental charge is the same for each store.
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In the diagram, the radius is 7 and tangent AB has length of 24. Determine the length of OA rounded to the nearest whole number
Given the radius r and the tangent line AB, the length of the line OA is 24 units
How to determine the length OA?The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
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Dan had $34 to spend at the fair if the admission to the fair is $10 and the rides cost $1.50 each, what is the greatest number of rides dan can go on. write an inequality that represents dan's situation
Answer:
Equation: 1.50x + 10 [tex]\leq[/tex] 34
Amount of rides Dan can go on: 16 rides
Step-by-step explanation:
We can represent this situation using this equation:
1.50x + 10 [tex]\leq[/tex] 34
The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.
Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.
Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.
Solve the equation for x to find the greatest amount of rides Dan can go on:
1.50x + 10 [tex]\leq[/tex] 34 Subtract 10 from 34
1.50x [tex]\leq[/tex] 24 Divide 24 by 1.50
x [tex]\leq[/tex] 16
So, Dan has enough money to go on 16 rides or less.
Let's check this answer:
1.50(16) + 10 [tex]\leq[/tex] 34 Multiply 1.50 by 16
24 + 10 [tex]\leq[/tex] 34 Add 24 and 10
34 [tex]\leq[/tex] 34
Hope this helps! Good luck and if you have any questions let me know in the comments!
A pyramid has a height of 8 inches and a volume of 120 cubic inches. Determine 2
possibie shapes, with dimensions, for the base.
Answer:
1. 9 * 5 in.
2. 3 * 15 in.
Step-by-step explanation:
Volume = 1/3 * area of the base * height
120 = 1/3 * A * 8
So A = 120 / (8/3)
= 120 * 3/8
= 45 in^2.
So the dimensions of the base could be 9 * 5 in
or 3 * 15 in.
The possible shapes of the base are a square and a rectangular base.
What is a pyramid?The volume of a pyramid depends upon the type of pyramid’s base, whether it is a triangle, square or rectangle. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is a poly sided figure.
Given here: A pyramid has a height of 8 inches and a volume of 120 cubic inches. Then we have volume of the pyramid as
120=l×b×8
l×b = 15
Therefore possible dimensions can be 7.5 &7.5 (Square base ) and 5×3 (rectangular base)
Hence, The possible shapes of the base are a square and a rectangular base.
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If p(a) = 0.60 and p(b) = 0.20, then a and b are independent events if
a. p(a and b) = 0
b. p(a and b) = 0.12
c. pla or b) = 0.80
d. pa or b) = 0.12
If A and B are independent variables, P(A and B) =0.12. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, p(a)=0.60 and p(b)=0.20.
If A and B are independent variables,
P(A and B) =P(P∩B)= P(A) × P(B)
Here, P(P∩B)=0.60×0.20
= 0.12
Therefore, option B is the correct answer.
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Find the sum of all positive integers less than 200 that are divisible by 7.
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
Which inequality is equivalent to −x<12?
Answer:
bottom left
Step-by-step explanation:
when divideing/mult by neg number, sign flips.
!!!!!!points!!!!!!!!
A. Substitute x = 3 into the equation of the line of best fit.
B. Estimate of the inventory on day 3 is: 3 (in hundreds).
What is the Equation of a Line of Best Fit?The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.
The equation of the line of best fit given is: f(x) = -1/3x + 4, where:
x = days after delivery f(x) = inventoryA. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.
B. Plug in x = 3 into f(x) = -1/3x + 4
f(3) = -1/3(3) + 4
f(3) = 3
Estimate of the inventory on day 3 is: 3 (in hundreds).
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