If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.
The given functions are f(x)=-3x-5 and g(x)=4x-2.
We need to find the value of (f-g)(x)
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)
= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)
= -7x-3
Therefore, the value of (f-g) (x) is -7x-3.
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y = 3x - 5.1, (-1.2, -3.1)
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given: y = 3x - 5.1, (-1.2, -3.1)
we can plug in the point (-1.2, -3.1)
-3.1 = 3(-1.2) - 5.1
-3.1 = -3.6 - 5.1
-3.1 = -8.7
-3.1 does not equal -8.7 so this point is not on the line
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this answer doesnt't answer my question
IT IS WRONG!!!!!!!!!
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
answer this properly please
Pls Help! Will Give Brainliest for the right answer!
a. The survey method is unlikely to result in a representative sample
b. Interview people on all days of the week.
What is a Representative Sample?A representative sample is a sub-section of a larger population and has similar characteristics of the main group population.
a. The population of the study is the entire consumers that shop at the supermarkets who shop all days of the weeks. Therefore, asking only shoppers who shopped on Monday will most likely give you a bias response as most customers may select Wednesday. The sample doesn't represent the entire population.
b. A better survey method is picking samples on all days of the week and ask them.
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please help me ill give 10 points
Answer:
y=160
Step-by-step explanation:
y=90+14(x)
x=5
y=90+14(5)
y=90+70
y=160
Hope this helps!
If not, I am sorry.
Which graph represents the following system of inequalities?
Answer:
D
Step-by-step explanation:
On graphing the 3 equations, we find that the central area (triangle) formed by the 3 inequalities is the solution.
Answer:
D
Step-by-step explanation:
When graphing inequalities:
< or > : dashed lines≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the lineGiven inequalities:
[tex]\begin{cases}y > \dfrac{1}{2}x-1\\\\y\leq -x+1\\\\y > -2x-1 \end{cases}[/tex]
From inspection of the given graphs, the red dashed line is the first inequality as it is the only inequality with a positive slope.
The blue sold line is the second inequality, as it is the only inequality with the sign that suggest a solid line.
Therefore, by process of elimination, the green dashed line is the third inequality.
Using the inequality signs and their definitions for shading, find the graph that has:
Shading above the red dashed lineShading below the blue solid lineShading above the green dashed lineThe only graph that matches these conditions is graph D
Mikaela and Viktoria both competed in a curling match on opposing teams. Mikaela
said to Viktoria, "2 more than twice my team's score is the
same as three times your team's score reduced by 3." If
Viktoria's team's score was 7, what was Mikaela's team's
score?
Answer:
Mikaela's team scored 5.3 points, in whole number form 5.
Step-by-step explanation:
If Viktoria's team's score was 7, 2 more than twice is (7*2) +2.
(7*2)+2=16
16 is three times Mikaela's team's score. Reduced by three means just to divide.
16/3=5.3
Mikaela's team scored 5 points.
Hope this helps!
If not, I am sorry.
Answer:
8
Step-by-step explanation:
Make it into an equation.
2x+2=(3x7)-3
2x+2=21-3
2x+5=21
2x=16
x=8
8
please help I need so much help right now I feel like crying
Answer:
ok the first point there is (-4;-3)
the second point is(0;-6)
what is the correct arangement of 3-6x-2x^2+3x-6x^2+2
Answer:
-8x²-3x+5
Step-by-step explanation:
First, add like terms.
3-6x-2x²+3x-6x²+2=
= 5-3x-8x²
Put it in standard form. To put in standard form, put the exponent from greatest to least.
-8x²-3x+5.
Hope this helps!
If not, I am sorry.
true or false 5x +11 = 7 is an expression
Answer: False
Step-by-step explanation: An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Expressions do not have an equal sign because they do not have an answer.
Solve the system of equations: 3x + 6y=6 and 2y - 3x = 6.
Answer:
x = -1, y = 1.5
Step-by-step explanation:
3x + 6y = 6 -----> x + 2y = 2
-3x + 2y = 6 -----> -3x + 2y = 6
------------------
4x = -4
x = -1, y = 1.5
someone please help me w this standard form question
Answer:
2.4 × 10⁶
Step-by-step explanation:
Given:
[tex]\sf x=3.8 \times 10^5[/tex][tex]\sf y=5.9 \times 10^4[/tex]To calculate the value of R, substitute the given values into the given formula:
[tex]\begin{aligned}\sf R & = \sf \dfrac{x^2}{y}\\\\ \implies \sf R& = \sf \dfrac{(3.8 \times 10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{3.8^2 \times (10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44 \times 10^{10}}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44}{5.9} \times \dfrac{10^{10}}{10^4}\\\\& = \sf 2.4474... \times 10^{(10-4)}\\\\& = \sf 2.4474... \times 10^6\\\\\end{aligned}[/tex]
Therefore, the value of R to 1 decimal place is 2.4 × 10⁶
--------------------------------------------------------------------------
Exponent Rules used
[tex](a^b)^c=a^{bc}[/tex]
[tex]{a^b}{a^c}=a^{b-c}[/tex]
[tex]R = \frac{ {x}^{2} }{ y} \\ \\ R = \frac{ {(3.8 \times {10}^{5})}^{2} }{5.9 \times {10}^{4} } \\ \\ R = \frac{ ({3.8})^{2} \times ( { {10}^{5} )}^{2} }{5.9 \times {10}^{4} } \\ \\ R = \frac{14.44 \times {10}^{10} }{5.9 \times {10}^{4} } \\ \\ R = \frac{14.44 \times {10}^{10 - 4} }{5.9} \\ \\ R = 2.45 \times {10}^{6} [/tex]
if c = 10 then the value of a is…
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:Special right triangles, such as the one shown, have unique equations that can be used to find missing sides.
30-60-90 Triangles
The angle measurements show us that this is a 30-60-90 triangle. This name refers to the 3 angle measurement. There are 2 types of special right triangles, 45-45-90 and 30-60-90. For most triangles, it would take the law of sine or cosine to find a missing side with only 1 side given. But, with special right triangles, we can use shortcuts to find a.
Formulas
For all 30-60-90 triangles, there are 3 sides: the hypotenuse (c), the long leg (a), and the short leg (b). The shortcuts for 30-60-90 triangles are based on the length of the short leg.
The formulas are as follows (the variables match the variable given in the figure):
c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]Solving for a
So, to find a, we must first find b. Since b is equal to half of c, we can divide the value of c by 2.
10/2 = 5Thus, b = 5
Next, plug this value into the formula for b
a = 5[tex]\sqrt{3}[/tex]Answer:
Last option
Step-by-step explanation:
cos30° = a/10
a = 10cos30°
[tex]cos30=0.8660=\frac{\sqrt{3} }{2}[/tex]
[tex]a=10(\frac{\sqrt{3} }{2} )=5\sqrt{3}[/tex]
Hope this helps
The figure below shows a large rectangle with a small rectangle cut out of it.
What is the area?
Answer:
40 square units
Step-by-step explanation:
The question gives that both the large shape and the small missing shape are rectangles. The formula for the area of a rectangle is [tex]A=bh[/tex] where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).
For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.
To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.
[tex]A_{\text{figure}}=A_{\text{large rectangle without hole}}-A_{\text{hole}}\\A_{\text{figure}}=(7)(7)-(3)(3)\\A_{\text{figure}}=49-9\\A_{\text{figure}}=40[/tex]
So, the area of the figure is 40 square units.
Answer:
40
Step-by-step explanation:
We can make a big square by making a line at the top open edge (as shown in the image attached below). We will first solve for [tex]A_{2}[/tex] and then [tex]A_{1}[/tex], and then finally solving for out answer by subtracting [tex]A_{1}[/tex] from [tex]A_{2}[/tex] .
[tex]A_{2}[/tex] is a square with side lengths of 7, so the area is 7 * 7 = 49.
[tex]A_{1}[/tex] is a smaller square with side lengths of 3, so the area is 3 * 3 = 9.
[tex]A_{2} - A_{1} = 49 - 9 = 40[/tex]
∴ Our final answer is 40
What additional information could be used to prove that the triangles are congruent using aas or asa?.
Answer:
Two angles and a side
Step-by-step explanation:
In order to prove triangles congruent, you'd have to either have an angle, angle, and then a side in that exact order for AAS or you can have two angles and a side in the middle of them for ASA.
7 times 36 = 21 times ?
help needed asap :)
Answer:
7*36=21*x
252=21x
x=12
Hope it helps!
Answer:
12
Step-by-step explanation:
Let x be the unknown number.
Method 1
[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]
[tex]\implies \sf 252 = 21x[/tex]
[tex]\implies \sf \dfrac{252}{21} = \dfrac{21x}{21}[/tex]
[tex]\implies \sf 12=x[/tex]
[tex]\implies \sf x=12[/tex]
Method 2 (using mental arithmetic)
[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]
As 7 and 21 are both multiples of 7, divide both sides by 7:
[tex]\implies \sf 36=3x[/tex]
Divide both sides by 3:
[tex]\implies \sf 12=x[/tex]
[tex]\implies \sf x=12[/tex]
16
Select the correct answer from each drop-down menu.
4
Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not
The results of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a
random selected person.
Has Eaten Snack A
before
Prefers Snack A
144
2 Edmentum. All rights reserved.
Type here to search
Prefers Snack B
Has Not Eaten
108
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
92
O
228
Total
236
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack
Reset
336
572
Next
75°F Sunny A
ave & Exit
6:46 AM
6/30/2022
The conditional probability values are 0.57 and 0.43
Missing informationHas Eaten before Have not Total
Snack A 144 108 252
Snack B 92 228 320
Total 236 336 572
Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.
Given a person who has eaten snack A before, the customer will want to eat snack AGiven a person who has not eaten snack A before, the customer will want to eat snackHow to determine the probabilities?The required probabilities are conditional probabilities, and they are calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula, we have:
The probability that a customer eats snack A given that the customer has eaten snack A before, to be:
P = n(Have eaten snack A)/n(Snack A)
This gives
P = 144/252
Evaluate
P = 0.57
Also, we have:
The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:
P = n(Have not eaten snack A)/n(Snack A)
This gives
P = 108/252
Evaluate
P = 0.43
Hence, the probabilities are 0.57 and 0.43
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The following clues will help us identify a shape:
The shape has no right angles.
The shape has no pairs of sides of equal length.
The shape is not a triangle.
it is a circle
PLEASE MARK THIS AS THE BRAINLYEIST ANSEWER
Skf theatre bought a movie license for rs. 1,500 per week. the cost of keeping the stuff and the hall is rs. 20,000 per month. if they charge rs. 10 per seat, then how many people would have to see the movie in the first four weeks in order for them to recoup the costs?
Answer:
21500
Step-by-step explanation:
21500 people would have to see the movie to recuperate their losses.
The number of people would have to see the movie is given by the equation A = 2600 people
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of people to see the movie in first four weeks be A
Now , the equation will be
The cost of movie license per week = ₹ 1500
The cost of movie license per month = 4 x ₹ 1500
The cost of movie license per month = ₹ 6000
And ,
The cost of keeping the stuff and hall for a month = ₹ 20,000
So ,
The cost of movie license and the hall for a month = 20,000 + 6000
The cost of movie license and the hall for a month = ₹26,000
The cost of charge of each seat = ₹ 10
So , the number of people to see the movie in the first four weeks in order for them to recoup the costs A = cost of movie license and the hall for a month / cost of charge of each seat
Substituting the values in the equation , we get
Number of people to see the movie in first four weeks A = 26000/10
Number of people to see the movie in first four weeks A = 2600 people
Hence , the number of people is 2600 people
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What is the slope of a line that is parallel to the line y 3/4x+2
Answer:
-4/3
Step-by-step explanation:
mtan × mline = -1
mtan× 3/4 = -1
mtan =-4/3
Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?
Answer:
6779
Step-by-step explanation:
69
Two taps, *A* and *B* are of different sizes. Tap A fills a container with water in 3 minutes and Tap B fills the same container in 5 minutes. How much time Will it take if both the taps are turned on at the same time.
answer with working
Calculate the area of the Parallelogram.
I will mark as brainliest, Please help quick!
Answer:
A = 42 cm²
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 6 and h = 7 , then
A = 6 × 7 = 42 cm²
For her class, Mrs. Norman bought 31 student tickets and 32 adult tickets, which cost a total of $854. Mr. Horton spent $837, getting 31 student tickets and 31 adult tickets. What is the price for each type of ticket?
Answer:
Each student ticket costs $10, and each adult ticket costs $17.
Step-by-step explanation:
Let s represent the cost of a student ticket and a represent the cost of an adult ticket.
31s + 32a = 854
31s + 31a = 837
----------------------
a = 17
31s + 31(17) = 837
31s + 527 = 837
31s = 310, so s = 10
The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side length to the nearest tenth before adding.
The perimeter of the triangle is 21.4 units
How to determine the perimeter?The points are given as:
A(−2,2), B(5,−3), and C(−4,−1)
Calculate the side lengths using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6[/tex]
[tex]AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6[/tex]
[tex]BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2[/tex]
The perimeter is then calculated as:
P = AB + AC + BC
This gives
P = 8.6 + 3.6 + 9.2
Evaluate
P = 21.4
Hence, the perimeter of the triangle is 21.4 units
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If f(x) = 3x^2 - x, find f(-2).
Answer:
14
Step-by-step explanation:
to find f(value), we plug that x value into the equation
so, if..
f(x)= 3x² -x
f(-2)= 3 · (-2)² - (-2)
f (-2) = 3 · 4 + 2
f (-2) = 12 + 2
f (-2) = 14
Answer:
14
Step-by-step explanation:
f(x) =3x^2-x
here,
f(-2)= 3(-2)^2 -(-2)
=3*4+2
=12+2
=14 Answer.
Which expression is equivalent to
(Q^5)^2
The correct value that equates to this expression is q¹⁰
.
To solve this expression, just:
eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]Resolution[tex]{ = \large \sf (q {}^{5} ) {}^{2} } [/tex]
[tex]{ = \large \sf q {}^{5 \times 2} } [/tex]
[tex] \pink{ \boxed{ = \large \sf q {}^{10} } } \\ [/tex]
Therefore, the answer will be q¹⁰
Answer:
Q¹⁰
Step-by-step explanation:
Given that,
(Q⁵)^2Solution:
Well,there is a law of exponents,which states that:
(a^b)^c = a^bcSame case is here as well.
Just multiply both powers given.
(Q⁵)²5*2 = 10
Q¹⁰Hence, the expression equivalent to (Q⁵)² is (Q)¹⁰
There are 19 animals on the farm which contains hens and goats. There are 68 legs in total. How many goats are there on the farm?
Answer: 15 goats
Step-by-step explanation:
h = hens - they have 2 legs
g = goats - they have 4 legs
The equations would be:
h + g = 19
2h + 4g = 68
To solve this, I personally prefer substitution, we're isolating h since we need to find g:
h + g = 19
h = 19 - g
Now that we have h, we can plug this into the second equation:
2h + 4g = 68
2(19 - g) + 4g = 68
38 - 2g + 4g = 68
2g = 30
g = 15
There are 15 goats.
Adding onto this, 19 - 15 = 4, so there are 4 hens.
The volume of a box is 5x^3 + 20x^2 + 15x cm^3. If the height of the box is 5x cm, find the width and length of the box.
Answer:
The product of the Width and Length is x^2 + 4x + 3 cm^2.
Step-by-step explanation:
The volume of a box = 5x^3 + 20x^2 + 15x cm^3.
Volume of a Box = W*L*H [Width(W), Length(L), and Height(H)]
W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3
W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm
W*L = x^2 + 4x + 3 cm^2
We know the area of the base of the box (W*L). It is x^2 + 4x + 3 cm^2.
To find the actual width and length, we need to know one of the variables, L or W. Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.
The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice includes all countries with literacy rates above 90%?
Answer:
The answer is D
Cuba, Poland, U.S., Argentina, Turkey, and Spain
Step-by-step explanation:
Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%
Which of the following statements are true about the graph of f(x) = 6(x + 1)²-9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)² up 9 units.
The graph is narrower than the graph of f(x) = x².
The graph is the same as the graph of f(x) = 6x² + 12x-3.
RETRY
