Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard.
Truth Value: -----
Answer:
Statement P is T
Stamens Q is F
Step-by-step explanation:
Here, we want to write the truth value for each of the statements.
For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.
For statement q, the truth value is F since in reality there are 3 feet in a yard
Which equation represents a line parallel to 2x+y=-2?
A. y=-2x+3
B. x+y=5
C. y-x=-1
D. y-2x=3
Answer:
Option A
Step-by-step explanation:
To find the answer we need to graph the following equations to see which equation is parallel to the given equation 2x + y = -2x. Your answer is option A or "y = -2x + 3." One of the biggest rules when trying to find out if the two lines are parallel to each other is seeing if the two lines intercept. In this case if you graph all the following options, the only line that does not intercept the first line 2x + y = -2 is the option A, which means it's your answer.
Hope this helps.
Help Math, Need someone to help with vertical angles
DOWN BELOW
Answer:
x = 25°
Step-by-step explanation:
The angles are equal and opposite. This means that if the top angle is 150°, then the angle at the bottom must be 150° too. However, it is currently 2x° + 100°, which turns it into an equation. So far we have 100° as a known angle, so we subtract that from 150° to get the value of 2x.
2x° = 50
Now we divide 50 by 2, and that gives us 25°.
x = 25°
- Educationist
I need help on this
Answer:
A. 75.6 in³
Step-by-step explanation:
The volume of a rectangular prism is V = Bh, where B = area of the base and h = height. We're given the dimensions of the base as 4.2 and 3, and the height as 6.
4.2 × 3 = 12.612.6 × 6 = 75.6 cubic inchesHave a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
A. 75.6 in³
Step-by-step explanation:
Given :-
Base area = 4.2 in x 3 in
Height = 6 in
To find :-
Volume
Formula required :-
Volume = length x breadth x height
Volume = base area x height
Solving :-
V = 4.2 x 3 x 6
V = 12.6 x 6
V = 75.6 in³
Solution :-
A. 75.6 in³
What is the slope of the line below?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The slope could be determined by plugging in what you know into here....
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
then plug in what you know...
[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]
[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]
So the slope is 2.
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Total order Discount
£40 - £54.99 5%
£55 - £79.99 6.5%
£80
8%
above
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
Please help me out with this.
Answer:
8 & 45
Step-by-step explanation:
This is done regarding BODMAS.
Fisrt 2(2)^2 - 3(2)(-3) -2(-3)^2
8 + 18 - 18
8.
Second 2(-3)^2 - 4(-3) + 6
27 + 12 + 6
45.
Answer:
2(2)^2 - 3(2 x -3) -2(-3)^2
8 - 3(-6) - 2(9)
8 - -18 - 18
26 - 18
8
Step-by-step explanation:
6x + 2x - 18 = 0
What are the values of
a
b
c
Answer:
A. 6
B. 2
C. 18
Step-by-step explanation:
can anyone help me with my homework
14-16
21-24
30-32
51-53
Answer:
y-intercept formula: b=mx-y
X-intercept formula: b=Mx+y
Step-by-step explanation:
m=slope
AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF.
4 lines are shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G.
By the congruent supplements theorem, what can you conclude?
AngleCBG Is-congruent-to AngleDBG
AngleFBC Is-congruent-to AngleDBG
AngleCBG is supplementary to AngleDBF.
AngleFBC is supplementary to AngleDBG.
Answer:
FBC=DBG
Step-by-step explanation:
Edge 2020
Based on the congruent supplements theorem which says that two angles are that are supplements of the same angle are congruent, therefore: ∠FBC ≅ ∠DBG.
What is the Congruent Supplements Theorem?The congruent supplements theorem states that when two angles are congruent or supplements of the same angle, therefore, the two angles can be proven to be congruent angles.
Therefore, from the information given, we can conclude based on the congruent supplements theorem that: ∠FBC ≅ ∠DBG.
Learn more about congruent supplements theorem on:
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Find the number of shaded triangles for each figure. first triangle: second triangle: third triangle: fourth triangle:
A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.
What is a triangle?A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.
The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:
1st triangle = 1
2nd triange= 3
3rd triangle = 9
4th triangle = 27
Hence, the number of triangles in the given figure are 1, 3, 9, and 27.
Learn more about Triangles:
https://brainly.com/question/25813512
Answer:
first part is 1, 3, 9, 27
second part is A
third part is 29,524
Step-by-step explanation:
edg 23'
What is the image of the point (-6, - 2) under a 90° rotation about the point (-4, 1)?
A. (-1,2)
B. (-2,4)
C. (-1, - 1)
D. (-7,3)
Answer:
Step-by-step explanation:
C.(-1,-1)
In a recent year, 33..9% of all registered doctors were female. If there were 53,100 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
Answer:
88145 doctors
Step-by-step explanation:
Percentage of male doctors=64/100×53100=
35046%.
Therefore 53100+35046=
88145 doctors
I need this answered the top ones are B and Z
Answer:
The number of lines for each angle tell you which angles are congruent.
The angle with one line in one triangle is the same as the angle with one line in the other triangle.
(a)
∠A ≅ ∠X
∠B ≅ ∠Z
∠C ≅ ∠Y
The dashes of the side lengths tell you which side lengths are congruent.
The line with one dash in one triangle is the same as the line with one dash in the other triangle.
(b)
AB ≅ XZ
AC ≅ XY
BC ≅ ZY
(c)
ΔBCA ≅ ΔZYX
A trader bought 5 bags of rice for GH₵210.00 each if he sold them at a profit of 20% what was the selling price . pls give the step by step explanation
7. Is it possible to have a triangle with the following side lengths: 8 in, 9 in, and
17 in?
Solve the inequality.
3y <-9
Answer:
y < -3
Step-by-step explanation:
Answer: y<-3
Step-by-step explanation:
1) 3y<-9 divide both sides of the inequality by 3
2) 3y÷3< -9÷3
3)any expression divided by itself equals 1
y<-9÷3
4) calculate the quotient y<-3
the quotient of a and 5
Answer:
Step-by-step explanation:
For exact divisions such as 10 ÷ 5 = 2, we have an integer as a quotient, and for divisions such as 12 ÷ 5 = 2.4, the quotient is a decimal.
Please solve both. I’ll give brainliest
Answer:
Part a: A square and a rhombus both have sides of equal length.
Let's calculate the length of each side.
[tex]\overline{PL}: \sqrt{(0-5)^2+(3-3)^2}=\sqrt{25+0}=5\\\overline{LA}\sqrt{(5-2)^2+(3-(-1))^2}=\sqrt{3^2+4^2}=5\\\overline{AN}:\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{25+0}=5\\\overline{NP}:\sqrt{(-3-0)^2+(-1-3)^2}=\sqrt{3^2+4^2}=5[/tex]
All sides measure 5. So it's at least a rhombus (think of a square as a rhombus with extra restrictions).
Part b: A square has extra restriction, more important all angles being 90° and diagonals having the same length. If you discussed about slopes it's easy to see that two sides are horizontal but the other two are NOT vertical. Which might be proof enough.
But the exercise looks about lengths on the plane, so let's measure diagonals.
[tex]\overline{PA}=\sqrt{(0-2)^2+(3-(-1))^2}= \sqrt{2^2+4^2}=\sqrt{20}\\\overline{LN}=\sqrt{(5-(-3))^2+(3-(-1))^2}= \sqrt{8^2+4^2}=\sqrt{80}[/tex]
The two diagonals have different lengths, so the figure cannot be a square.
im very confused of this question i need help
Answer: add to eliminate x
Step-by-step explanation:
Answer:
add to eliminate x
Step-by-step explanation:
In my opinion, the fourth option is the answer
How do I do this? I’m very confused
(2-3x) (5x+1) factoriser
-15xsquared+7x+2 is the answer
help pleaseeeeeeeee!!
Answer:
-x12
Step-by-step explanation:
cause I know
At the end of the night, mrs johnson works with the student council to determine their profit on the fundraiser the least popular item was chips in which they sold on 21 bags. the chips cost a total of 48.10
Answer:
21+48.10=69.10
Step-by-step explanation:
21
+
48.10
=
69.10
Give two examples of each type of number: real, natural, integers, rational and irrational.Explain step-by-step how to simplify -5(2x – 3y + 6z – 10)
9514 1404 393
Answer:
real, natural, integers, rational: 2, 3irrational: √2, √3use the distributive propertyStep-by-step explanation:
A) Any positive integer is all of real, natural, integer, and rational. A couple of examples of positive integers are 2, and 3.
Any non-complex number is real: -98.6, +29.7π.
Natural numbers are positive integers: 89, 10103.
Integers are any positive or negative number that has no fractional part. Zero is also an integer. A couple are -3, 0.
A rational number is one that can be expressed as the ratio of two integers. Any finite decimal number and any repeating decimal number are rational numbers. A couple of these are 22/7 and -0.0037285.
An irrational number is a number that cannot be expressed as the ratio of two integers. A cube root of a number that is not a perfect cube will be irrational, for example, The same is true of other roots. √2, ∛-5 are irrational. Pi (π) is a famous irrational number, along with 'e', the base of natural logarithms.
__
B) The terms inside parentheses are unlike, so cannot be combined. The only way this expression can be simplified is by removing the parentheses using the distributive property.
-5(2x -3y +6z -10) = (-5)(2x) +(-5)(-3y) +(-5)(6z) +(-5)(-10)
= -10x +15y -30z +50
imagine that you write each letter of the word california on individual cards. you shuffle them, turn them facedown on a table, and trn over the top card. what is the probability of turning over an A?
Answer:
Let's find how many letters California has first, c-a-l-i-f-o-r-n-i-a has 10 letters.
Now let's find how many letter A's are in the word California, California has two a's in the word.
So there are 2 cards out of 10 that could possibly be selected as the letter A.
Your probability is:-
2/10 which simplifies to 1/5, if you wanted to make this a percentage as well;
1/5 * x/100
solve for x;
20%
The required probability of turning over an A is given as 20% or 0.2.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
California = C, a, l, i, f, o, r, n, i, a = 10 letters
So,
Number of card = 10
Now,
there are two a's in the card deck
So the probability of turning over an A,
= 2 / 10
= 0.2 or 20%
Thus, the required probability of turning over an A is given as 20% or 0.2.
Learn more about probability here:
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Remington needs at least $3,000 to buy a used car. He already has $1,800. If he saves $50 per week. Which inequality best matches the situation?
Answer:
24 weeks
Step-by-step explanation:
I'm not sure exactly what you're asking but if he's making $50 a week it would take him 24 weeks to have enough money for the car. Here is an inequality for the amount he needs: 50x+1800≥3000
How many solutions does this equation have: y=x^2-7x-18
Answer: 2 solutions
-2 and 9
Step-by-step explanation:
see pic
I need help solving this problem.
Answer:
Step-by-step explanation:
area of parking lot=(100-x)(100+x)=100²-x²=(10000-x²)ft²
original area=100²=10000 ft²
x²>0
so new area is decreased.
Find the slope of the line through each pair of points.
1) (19,8),(-2, 11)
Answer:
The slope of the line is [tex]-\frac{1}{7}[/tex]
Step-by-step explanation:
The rule of the slope of a line which passes through points
(x1, y1) and (x2, y2) is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (19, 8) and (-2, 11)
∴ x1 = 19 and x2 = -2
∴ y1 = 8 and y2 = 11
→ Use the rule above to find the slope of the line
∵ [tex]m=\frac{11-8}{-2-19}=\frac{3}{-21}[/tex]
→ Simplify the fraction by divide up and down by 3
∴ [tex]m=-\frac{1}{7}[/tex]
∴ The slope of the line is [tex]-\frac{1}{7}[/tex]