Answer:
(f o g)(5) = -13
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4
g(x) = -2x + 7
(f o g)(5) is f(g(5))
Step 2: Find composite function
Substitute: (f o g)(x) = 3(-2x + 7) - 4Distribute: (f o g)(x) = -6x + 21 - 4Combine like terms: (f o g)(x) = -6x + 17Step 3: Solve
Substitute: (f o g)(5) = -6(5) + 17Multiply: (f o g)(5) = -30 + 17Add: (f o g)(5) = -13- 20y - 7x = -14
10y - 2x = -4
Answer:
(2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-20y - 7x = -14
10y - 2x = -4
Step 2: Rewrite systems
10y - 2x = -4
Subtract 10y on both sides: -2x = -10y - 4Divide -2 on both sides: x = 5y + 2Step 3: Redefine systems
-20y - 7x = -14
x = 5y + 2
Step 4: Solve for y
Substitution
Substitute in x: -20y - 7(5y + 2) = -14Distribute -7: -20y - 35y - 14 = -14Combine like terms: -55y - 14 = -14Add 14 on both sides: -55y = 0Divide -55 on both sides: y = 0Step 5: Solve for x
Define original equation: 10y - 2x = -4Substitute in y: 10(0) - 2x = -4Multiply: 0 - 2x - 4Simplify: -2x = -4Divide -2 on both sides: x = 2Step 6: Graph systems
Check solution set and systems.
PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
y=22.1
Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.
17 x 1.3=22.1
22.1=y
Step-by-step explanation:
Can anyone help its due in 10 minuets!
Answer:
x=30⁰
Step-by-step explanation:
4x-55+3x+25=180
7x-30=180
7x=210
x=30⁰
Proof
3(30)+25=115
4(30)-55=65
115+65=180⁰
The scale of a model airplane is shown in the graph
Answer:5/3
Step-by-step explanation:
Which of the following must be true in order to write a bi-conditional statement?
A.) the conditional statement
B.) both the conditional statement and its converse
C.) the converse of the conditional statement
D.) neither the conditional statement nor its converse
Answer: B.) both the conditional statement and its converse .
Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
The required solution is both the conditional statement and its converse.
It is required to choose the correct statement.
What is conditional statement ?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.
Given:
In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
Biconditional Statement Examples:
The polygon has only four sides if and only if the polygon is a quadrilateral.
Therefore, the required solution is both the conditional statement and its converse .
Learn more details about conditional statement here:
https://brainly.com/question/18152035
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Solve for x. For the equation
Answer:
x=y/m - b/m
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
when given an equation were is m located dealing with slope
Answer: M is attached to x
Step-by-step explanation:
The equation in standard form is y = mx +b
m is attached and is modifying the value of x
Use the percent. proportion to solve 40% of what is 30?
Answer:
i belive its 75 percent
Step-by-step explanation:
the question is worded strangly
2)
Which TWO define the same sequence?
A)
f(x) = 7x – 15 for x = {1, 2, 3, ...}
B)
f(x) = 7x – 22 for x = {1, 2, 3, ...}
f(x) = 7x - 29 for x = {1, 2, 3, ...}
D)
a1 = -22 and an + 1 = a + 7 for n = {1, 2, 3, ...}
E)
a1 = -29 and an + 1 = a + 7 for n = {1, 2, 3, ...}
9514 1404 393
Answer:
C, D
Step-by-step explanation:
It can work to see what sequence each defines:
A) -8, -1, 6, ...
B) -15, -8, -1, ...
C) -22, -15, -8, ...
D) -22, -15, -8, ... . . . . matches C
E) -29, -22, -15, ...
The two that define the same sequence are ...
C) f(x) = 7x -29
D) a1 = -22, a(n+1) = an +7
Write the equation of a line that is perpendicular to the graph of y = 1/2 x + 3, and passing through the point (-3, 5). Show work
Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
15/4- 4 1/3 I'm dumb and i can't figure this out help me plz
Answer:
15/4- 4 1/3
15/4-13/3
45/12-52/12
-7/12
Step-by-step explanation:
Answer:
You are not dumb
Step-by-step explanation:
15/4 - 4 1/3 make the 4 1/3 a improper fraction
15/4 - 13/3 find common denominator of 12
45/12-52/12 since 4 goes into 12 3 times, times the top by 3 to get 45. The second one-3 goes into 12 4 times, so times the top by 4 to get 52.
45/12-52/12= 45-52= -7 put the -7 over the 12
-7/12 that is your answer
Using f(x) =x^2/3-2, determine if each statement below is true or false. Show the work that justifies your answer. The statements are A. F(6)=f(-6) B. F(6)=2 • f(3)
Answer:
[tex]f(6) = f(-6)[/tex] --- True
[tex]f(6)=2 * f(3)[/tex] --- False
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2}{3} - 2[/tex]
Solving (a): f(6) = f(-6)
First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(6) = \frac{6^2}{3} - 2[/tex]
[tex]f(6) = \frac{36}{3} - 2[/tex]
[tex]f(6) = 12 - 2[/tex]
[tex]f(6) = 10[/tex]
Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]
[tex]f(-6) = \frac{36}{3} - 2[/tex]
[tex]f(-6) = 12 - 2[/tex]
[tex]f(-6) = 10[/tex]
We have that:
[tex]f(6) = f(-6) = 10[/tex]
Hence, the statement is true
Solving (b): [tex]f(6)=2 * f(3)[/tex]
We have that:
[tex]f(6) = 10[/tex]
Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(3) = \frac{3^2}{3} - 2[/tex]
[tex]f(3) = \frac{9}{3} - 2[/tex]
[tex]f(3) = 3 - 2[/tex]
[tex]f(3) = 1[/tex]
[tex]2 * f(3) = 2 * 1[/tex]
[tex]2 * f(3) = 2[/tex]
So:
[tex]f(6)=2 * f(3)[/tex]
[tex]10 \neq 2[/tex]
Hence, the statement is false
Does the following table show a proportional relationship between the variables X and y?
20
о» | сл
25
6
125
6
y
2
10
50
Answer:
Step-by-step explanation:
25
Solve each Equation using SRP
Follow the examples.
Equation
Solution Set
Correct?
x² = 16
{4,-4}
x2 = 10
{V10,-10)
x² = - 10
No real solutions
x² = 2
{:}
Not yet
x² = 25
{,}
Not yet
x2 = 21
{j}
Not yet
x2 = 30
{,}
Not yet
x² = -30
Not yet
Answer:
Step-by-step explanation:
{ √2 , - √2 }
{ 5 , - 5 }
{ √21 , - √21 }
{ √10 , - √10 }
No real solutions
2= d-11/3
100 points if u answer pls help asap
Answer:
i hope this works
Step-by-step explanation:
d=17/3
d=5.666
d=5 2/3
Answer:
Solution given:
2=d-[tex] \frac{11}{3} [/tex]
2+[tex] \frac{11}{3} [/tex]=d
d=[tex] \frac{6+11}{3} [/tex]
d=[tex] \frac{17}{3} [/tex] or [tex] 5\frac{2}{3} [/tex]
is your answer
HELP PLSSSSSSSSSS:( DUE SOON
Answer:
3) x = 21.33
4) x = 33
5) x = 11
Step-by-step explanation:
3: (3x + 17) + (x + 40) + (2x - 5) = 180
6x + 52 = 180
6x = 128
x = 21.333...
4: 180 / 3 = 60
3x - 39 = 60
3x = 99
x = 33
5: 90 + (6x + 7) + (2x - 5) = 180
8x + 2 = 90
8x = 88
x = 11
Y’all I need help I need a good grade on this
Answer:
SLOPE IS -3
Step-by-step explanation:
4-7 over 0-(-1)
I NEED HELP! with these 5, & 7?
Answer:
5 is -20
7 is -5
Answer:
[tex]5. \: -8/ -2 × -5 = -20[/tex]
[tex]7. \: \\ -25/5 × -40/8 = - 25[/tex]
[tex]have \: a \: safe \: life[/tex]
2-\dfrac12n=3n+162− 2 1 n=3n+16
Answer:
2-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+16
Step-by-step explanation:
May I have brainliest please? :)
Add 15.438 and 3.18. And subtract that answer from 32.476.
Answer:
-13.858 !!!
Step-by-step explanation:
{(3, 2.1),(4,3.1), 5, 2.7), (5,4.1),(6, 5.1)} domain and range of this numbers
Answer:
domain: (3, 4, 5, 6)
range: (2.1, 2.7, 3.1, 4.1, 5.1)
Step-by-step explanation:
domain is the x value
range is the y value
you do not write the same number twice
write the domain and range in alphabetical order
what is the coeffcients of 3m + 5 = 1
Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution
Answer:
O Yes, (0, 2) is a solution
Step-by-step explanation:
The Solution of an Equation
Given the equation
-2x + y = -1
An ordered pair (a,b) is a solution of the equation if
-2a + b = -1
Let's test the point (0,2) to check if it's a solution of the equation:
Replacing x=0, y=-1
-2(0) + (-1) = -1
0 - 1 = -1
-1 = -1
Since the equation is satisfied, the pair (0,2) is a solution.
Answer: O Yes, (0, 2) is a solution
Answer:
No, (0, 2) is not a solution.
Step-by-step explanation:
I did the test
How would you graph the solution set of x + 4 > -9?
Answer:
x>-5
Step-by-step explanation:
-9 - -4 =-5
x>-5
↝ Graph from Number Line ↝
x + 4 > -9
x + 4 + 9 > 0
x + 13 > 0
x > -13
↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)
What is 111/6 and 4 1/3 as an improper fractions?
Answer:
Step-by-step explanation:
111/6 = 37/2
4 1/3 = 13/3
What is the probability of being born in May or on the 30th of any month?
Answer: 41/365
Step-by-step explanation:
The probability of being born in May is 31/365 (May has 31 days and there are 365 days in a year).
The probability of being born on the 30th of the month is 11/365 (11 months have at least 30 days). However, since we have included May 30 in our MAy probability, we need to use the probability of 10/365.
Add the two probabilities together, and the probability of being born in May or on the 30th is 31/365 + 10/365 = 41/365.
|2x-8| + 3 = 5 two solutions
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
What table is proportional
Answer:
C
Step-by-step explanation:
x is 2 times as y is the pattern
A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.
What is the cost of a 3-mile ride?
$1
$10
$12
$14
Answer:
The answer is 14
Step-by-step explanation:
The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.
2. A bag of trail mix weighs 2 pounds. By weight, 18% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
Answer:
Weight of EACH square = 0.2 pounds
18% oat = 0.36 pounds
Step-by-step explanation:
Given that:
Weight of bag = 2 lb
Percentage of oat in mix = 18%
% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
If trail mix is represented by 10 by 10 square grid ;
Each square represents : 2 pounds / 10 = 0.2 pounds
18% of the total weight
0.18 * 2 = 0.36 pounds