Answer:
ran" (and any subsequent words) was ignored because we limit queries to 32 words.
What is the domain of function g if g(x)= f(x)-12?
Using translation concepts, it is found that the domain of g(x) = f(x) - 12 is the same domain of f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 12, that is, g(x) is a shift down of 12 units of f(x).
The domain of a function is the set that contains all possible input values for the function. A shift down does not add any restriction to the function, hence the domain of f(x) and g(x) are the same.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
If using the method of completing the square to solve the quadratic equation
22 + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
complete the square 2 x + 38 = 0
Step-by-step explanation:
Find the range of values of x for which 2x-3<7 and 2x+1>-3x-4.
Given:
The inequalities are:
[tex]2x-3<7[/tex]
[tex]2x+1>-3x-4[/tex]
To find:
The range of values of [tex]x[/tex] for the given inequalities.
Solution:
We have,
[tex]2x-3<7[/tex]
Adding 3 on both sides, we get
[tex]2x-3+3<7+3[/tex]
[tex]2x<10[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}<\dfrac{10}{2}[/tex]
[tex]x<5[/tex] ...(i)
The second inequality is:
[tex]2x+1>-3x-4[/tex]
Subtracting 1 from both sides, we get
[tex]2x+1-1>-3x-4-1[/tex]
[tex]2x>-3x-5[/tex]
Adding [tex]3x[/tex] on both sides, we get
[tex]2x+3x>-3x-5+3x[/tex]
[tex]5x>-5[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}>\dfrac{-5}{5}[/tex]
[tex]x>-1[/tex] ...(ii)
Using (i) and (ii), we get
[tex]-1<x<5[/tex]
Therefore, the required range is [tex]-1<x<5[/tex].
25 points!!! I will give brainliest to the first CORRECT answer!!
Answer:
It's well be 2 cause that is the only one thag makes sense
Anya, Daniel and Victoria shared some tokens for games in an arcade in the ratio 3:5:7.
Daniel and Victoria together received a combined total of 36 tokens. What is the total
number of tokens originally shared among
the friends?
Answer:
45 Tokens
Step-by-step explanation:
3:5:7
Anya = 3
Daniel = 5
Victoria = 7
Daniel + Victoria = 36
5 + 7 = 36
12 = 36
1 = 3
(1 ratio is 3 tokens)
(3 + 5 + 7) × 3 = 45
Estimate the square root to the nearest integer. -51
Answer:
49
Step-by-step explanation:
The probability that a certain make of car will need repairs in the first four months is 0.8. A dealer sells six such cars. What is the probability that at least one of them will require repairs in the first four months? Round your final answer to four decimal places.
Answer:
0.9999
Step-by-step explanation:
One way to calculate the probability that at least one of them need repairs is that we can calculate the opposite (none need repairs) and subtract that from 1 (100%).
The probability that a car does not need repairs is 0.2. To find the probability that six cars all fulfill this 0.2 probability, we can get [tex]0.2^{6} =0.000064[/tex] . This is the probability that none require repairs. The opposite of this is that at least one needs repairs, so 1-0.000064 - 0.999936. Rounded to 4 decimal places, the probability is 0.9999
By the definition of a ▱, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary. Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠.
Step-by-step explanation:
is it a question ? please check.
Answer:
Step-by-step explanation:
D.
supplementary.
BC.
D.
which of these is the alternate interior angle of BEA?
Answer:
Angle EBF is the alternate interior angle of BEA.
Step-by-step explanation:
We are taking AE parallel to BF and EB as the transversal.
Hope it helps you.^_^
ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
Please help I’ll give brainliest
An ellipse is graphed. Which statements about the ellipse are true? Select three options.
Answer:
The true statements are;
1) The center of the ellipse is at (-2, -5)
3) The covertices are at (-2, -4) and (-2, -6)
4) The distance between the center and each focus is 2·√6 units
Step-by-step explanation:
The given graph of the ellipse gives;
1) The location of the center of the ellipse = (-2, -5)
2) The location of the vertices of the ellipse = (-7, -5) and (3, -5)
The distance between the center (-2, -5) and each vertex, d, is given as follows;
d = -2 - (-7) = 5 and d = 3 - (-2) = 5
Therefore, the distance between the center (-2, -5) and each vertex is 5 units
3) The location of the covertices, given in the diagram are (-2, -4), and (-2, -6)
4) The coordinates of the focus of an ellipse = h - c, k
c = √(a² + b²)
Where, for the given ellipse, h = -2, k = -5, c = √(5² - 1²) = √(24) = 2·√6
∴ The location of the focus of the ellipse = (-2 - 2·√6, -5)
The distance between the center and each focus, d = -2 - (-2 - 2·√6) = 2·√6
5) The x-coordinate of the directrices of the ellipse = ± a/e
Where; a = 5
b² = a²·(1 - e²)
∴ e² = 1 - b²/a² = 1 - 1/25 = 24/25
e = 2·√6/5
The directrices = -2 ± 5/(2·√6/5) ≈ -2 ± 5.1
The distance between the center and the directrices ≈ 5.1 units
Therefore, the directrices are vertical lines approximately 5.1 units from the center
Solve this please!!,!,!
Answer:
z = -74
Step-by-step explanation:
12 = (2+z) / -6
Multiply each side by -6
-6 * 12 = (2+z)/ -6 * -6
-72 = 2+z
Subtract 2 from each side
-72-2 = 2+z-2
-74 =z
It doesn’t give options so I can’t guess
Answer:
x = 135
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
125 = x-10
Add 10 to each side
125+10 = x
135 =x
please help asap!!
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Subtract the sum of 12ab –10bc –18ac and 9ab +12bc + 14ac from the sum of ab + 2bc and 3bc –ac.
Answer:
this is the answers
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are girls?
Answer:
20 girls
Step-by-step explanation:
boys : girls : total
3 5 3+5 = 8
There are 32 students
32/8 = 4
Multiply each term by 4
boys : girls : total
3*4 5*4 8*4
12 20 32
There are 20 girls
Answer: 20 girls
Step-by-step explanation:
So boys to girls is 3 to 5
It asks for girls in class
Suppose there were 8 people in class, 5/8 of the people would be girls
It states that 32 people are in the class, so do 32 x 5/8 to get 20 girls
(I have to leave for school in 15 minutes please)
Select the correct answer.
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
OA
0
OB. 1
OC. 2.
OD 3
Reset
Next
© 2021 Edmentum. All rights reserved.
o
.
Answer:
1
Step-by-step explanation:
An equilateral triangle is a triangle with all three sides of equal length, so there's only one option, a triangle with all three sides 7 centimeters.
Exponential functions do not form straight lines.
A)True
B)False
Answer:
A
Step-by-step explanation:
Linear are the one with straight line
complete the solution find the value of y when x equals 1 9x+7y=-12
The area of the triangle below is 12 square inches. What is the length of the base?
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
[tex]\frac{1}{2}[/tex] b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
-36y= x^2
does the parabola open:
1. left
2.down
3.up
4.right
Answer:
3. first make Y the subject, then x^2 will become negative which will make the the parabola open up
After reading The Lord of the Rings, Francesca signs up for archery lessons. At her first lesson, she sets up her target 5 feet away from her. After lots of practice, she now sets up her target 15 yards away. How many times farther away does Francesca set up her target now?
Answer:
[tex]3[/tex] times
Step-by-step explanation:
[tex]5x=15[/tex]
Divide both sides by 5
[tex]x=3[/tex]
Hope this helps
Answer:
9 Times
Step-by-step explanation:
You need to find how many times farther away Amy sets up her target. She used to set it up 5 feet away. Start by finding how many feet away she sets up her target now.
There are 3 feet in a yard, so multiply 15 yards by 3.
15×3=45
Now, Amy sets up her target 45 feet away. She used to set it up 5 feet away. You can use a multiplication fact to find how many times farther away she sets up her target now.
5×9=45
Amy sets up her target 9 times farther away now.
it takes one man four days to do a job if four man did that same job how many days will it take?
Answer:
16days
Step-by-step explanation:
1 man =4days
4men=4men/1man×4days
=4×4days
=16days
Answer:
1
Step-by-step explanation:
averaging
Helpppppppppp what’s the angleeeee plz tell me tytytytyytyttytytyt
Answer:
101°
Step-by-step explanation:
2, 4 and 6 are consecutive even numbers.
Alice wrote down three consecutive even numbers with a sum of 252.
Pat wrote down three consecutive odd numbers. Pat's numbers were larger than Alice's numbers.
The difference between the largest odd number and the largest even number was 25.
Answer:
Alice: 82, 84, 86
Pat: 103, 105, 107
Step-by-step explanation:
Alice:
x + (x+2) + (x+4) = 252
3x + 6 = 252
3x = 246
x = 82 so Alice's last term is 82+4 = 86
Pat:
y + (y+2) + (y+4) = Pat's Total
Pat's last term is (y+4) so
Alice's last term + 25 = Pat's last trem
86 + 25 = 111 = y+4
y = 107
If u= (1 + iv3) and v = (1 + 2iv3), then what is uv?
Answer:
your answer would be B. -5 +3i✓3
Let t=4 and u=6+2i. Find t+u.
The answer for the following question is 12i.
Answer:
t + u = 10 + 2i
Step-by-step explanation:
t + u
= 4 + 6 + 2i ← collect like terms
= 10 + 2i
The questions is in the picture
Answer:
x = 308 feet
Step-by-step explanation:
tan = opp/adj
tan72 = x/100
multiply both sides by 100
100 * tan72 = x
Use calculator
x = 307.76835371752534
Rounded
x = 308 feet
2. A company manufactures fuses. The percentage of non-defective fuses is 95.4%. A sample of 9 fuse was selected. Calculate the probability of selecting at least 3 defective fuses.
Answer:
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A company manufactures fuses. The percentage of non-defective fuses is 95.4%.
This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that [tex]p = 0.046[/tex]
A sample of 9 fuse was selected.
This means that [tex]n = 9[/tex]
Calculate the probability of selecting at least 3 defective fuses.
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545[/tex]
[tex]P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840[/tex]
[tex]P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548[/tex]
Then
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067[/tex]
0.0067 = 0.67% probability of selecting at least 3 defective fuses.