Answer:
g(x)=(x-4)^2+9
Step-by-step explanation:
The function representing the g(x) is g(x) = (x - 4)² + 9.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given is a function f(x).
f(x) = x²
A horizontal translation makes the function f(x) to f(x ± k), where k is the unit of translation.
And the vertical translation results in f(x) = f(x) ± k.
Here function f(x) = x² has been translated 9 units up.
f(x) → f(x) + 9 = x² + 9
Then it is translated 4 units to the right,
g(x) = (x - 4)² + 9, since the translation is towards right.
Hence the correct answer is g(x) = (x - 4)² + 9.
Learn more about Translations here :
https://brainly.com/question/29198392
#SPJ7
Zachary ate 88 out of g gumdrops. Choose the expression that shows how many gumdrops Zachary has left.
A. 88-g
B. G+88
C. G
D. G-88
F(2)=-5x+6 find value
Answer:
F(x) = 16
Step-by-step explanation:
F = 2. We find the value of -5x by inputting the value of the function into the x value.
F(x) = -5(2) + 6
F(x) = 10 + 6
F(x) = 16
Simply the product.
(2y – 5)(3y + 1)
A. 6y2 + 13y - 5
B. 6y2 – 13y - 5
C. 6y2 + 17y + 5
D. 6y2 – 13y + 5
Answer:
6y2 - 13y - 5............
The simplest rationalisation factor of root 3-root 5
Answer:
The simplest rationalising factor of 2sqrt(5)-sqrt(3) is 2sqrt.
Step-by-step explanation:
√3+√5 rationalising factor=√3+√5×√3-√5=√3^2=3-5= -2.
I hope it is helpful. Please mark it as Brainliest Answer.
Find the rate of the following:
A. 5 is what percent of 25?
B. 3 is what percent of 12?
C. 1 is what percent of 10?
D. 85 is what percent of 340
E. 7 is what percent of 20?
-3x-8>19?I have to solve for x
Answer:
x < -9
Step-by-step explanation:
Add 8 to both sides:
-3x - 8 > 19
-3x > 27
Divide each side by -3:
-3x > 27
Dividing by a negative number on each side switches the inequality:
x < -9
So, the answer is x < -9
Answer:
[tex] \huge \: x < - 9[/tex]
[tex]\huge \: x \in (-∞,-9)[/tex]
Step-by-step explanation:
to understand thisyou need to know about:inequalityPEMDASgiven:[tex]-3x-8>19[/tex]tips and formulas:the direction of inequality doesn't change when you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of inequality does change when you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sideslet's solve:[tex]step - 1 : define \\ -3x-8>19[/tex]
[tex]step - 2 : \\ add \: 8 \: to \: both \: sides[/tex]
[tex]-3x-8 + 8>19 + 8[/tex]
[tex] - 3x >27 [/tex]
[tex]step - 3 \: \\ divide \: both \: sides \: by \: - 3 \: and \: swap \: the \: inequality[/tex]
[tex] \huge \therefore \: x < - 9[/tex]
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
simplify
11x-4x+26
i need help quick
Answer:
Step-by-step explanation:
Here you go mate
Step 1
11x-4x+26 Equation/Question
Step 2
11x-4x+26 Simplify
11x-4x+26
Step 3
11x-4x+26 Combine like terms
(11x+-4x)+(26)
Step 4
(11x+-4x)+(26) Add them together
answer
7x+26
Hope this helps
Find X. Round to the nearest tenth please help!
Answer:83.0°
Step-by-step explanation:
Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).
For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.
Thus, we would have this following:
Where,
C = X = ?
a = 8 ft
b = 16 ft
c = 17 ft
Please help! It’s so confusing
-4y + 3x - 2x - 5y - 4
Combining like terms
Answer:
I have
Step-by-step explanation:
No idea sorry
In a group of 60 students, 15 liked maths only, 20 liked science only and 5 did not liked any of two subjects. How many of them liked at least one subject?
Answer:
35
Step-by-step explanation:
Given
n (A) = 15
n (B) = 20
Students who do not like any subject = 5
Hence, number of students who would like either both or either of the two subjects = 60-5 = 55
n (A or B) = n (A) + n (B) - n (A and B)
Number of students linking both the subjects
55 - 15-20
= 55-35 = 20
Number of students linking only one subject = 60-20-5 = 35
25. Explain the Error Jeremy factored 144x? – 100 as follows:
144x2 100 = (12x + 10)(12x – 10)
= 2(6x + 5)(6x – 5)
What was his error? Correct his work.
Given:
Consider the expression is
[tex]144x^2-100[/tex]
Jeremy factored the given expression and his steps are given.
To find:
The error in his solution.
Solution:
We have,
[tex]144x^2-100[/tex]
It can be written as
[tex]=12^2x^2-10^2[/tex]
[tex]=(12x)^2-10^2[/tex]
[tex]=(12x+10)(12x-10)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
Taking out common factors from each parenthesis.
[tex]=2(6x+5)2(6x-5)[/tex]
[tex]=4(6x+5)(6x-5)[/tex]
So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.
Therefore, Jeremy made his mistake in his last step.
What is the value of x?
Answer:
40
Step-by-step explanation:
4x=180-20
4x=160
X=40
Write the word sentence as an inequality.
A number z times 3 is at most -4.8
Answer and you’ll get brainliest answer if correct!
Answer:
3z < -4.8
* be sure to use the less than or equal to sign
Step-by-step explanation:
The inequality for the A number z times 3 is at most -4.8 is 3x < -4.8
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
A number z times 3 is at most -4.8
Now, the mathematical expression is
3z < -4.8
and, z< -1.6
Hence, the inequality is 3x < -4.8
Learn more about inequality here:
https://brainly.com/question/28823603
#SPJ2
If a quadrilateral is a rectangle, then it is a parallelogram (True or False)
can someone help me solve 2x=9.
Answer:
x = 4.5
Step-by-step explanation:
You can find this ous by dividing 9 by 2, giving you 4.5! Hope this helped!
PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer must be C
Step-by-step explanation:
I can explain if you want to, just let me know!
ABCD is a parallelogram. If mZCDA = 63, then mZABC = _?_ The diagram is not to scale.
Answer:
b. 63
Step-by-step explanation:
A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.
The above answer is correct because opposite angles of a parallelogram are equal:
m∠CDA = m∠ABC
where m∠CDA = 63
∴ m∠ABC = 63 (answer)
A cactus casts a shadow that is 15 feet long. A gate nearby casts a shadow that is 5 feet long. Find x, the height of the cactus. in middle school
Answer 15 ft
hope it is helpful
factor z^3 - 2z^2 + 9z-18
10 POINTS!!!!
Answer:
(z - 2) (z^2 + 9)
Step-by-step explanation:
Factor the following:
z^3 - 2 z^2 + 9 z - 18
Hint: | Factor pairs of terms in z^3 - 2 z^2 + 9 z - 18 by grouping.
Factor terms by grouping. z^3 - 2 z^2 + 9 z - 18 = (z^3 - 2 z^2) + (9 z - 18) = z^2 (z - 2) + 9 (z - 2):
z^2 (z - 2) + 9 (z - 2)
Hint: | Factor common terms from z^2 (z - 2) + 9 (z - 2).
Factor z - 2 from z^2 (z - 2) + 9 (z - 2):
Answer: (z - 2) (z^2 + 9)
If f(x) =4^x-8 and g(x)=5x+6find (f-g)(x)
Answer:
x= 10
Step-by-step explanation:
27÷6= 4.5
27×4.5= 6
so,
45÷4.5=10
The measure of an angle is 17.3°. What is the measure of its complementary angle?
Answer:
72.7
Step-by-step explanation:
complementary angles: either of two angles whose sum is 90°.
90-17.3 = 72.7
Answer:
Complementary angle of 17.3° is (90°-17.3°)=72.7°
72.7° is the right answer.how do u this? please explain...
The store price of a t-shirt is $50. if the markup set by the store is 30%. Calculate the markup the price set by the t-shirt.
Answer:
I won't answer but I'll give a hint
Step-by-step explanation:
1. Markup = markup percent x cost/store price
2. Selling price = markup price + cost/store price
3. Discount amount = discount percent x cost/store price
4. Selling price = cost/store price – discount amount
BRAINLIEST FOR THE CORRECT AWNSER!! PLEASE PUT THE LETTER AWNSER AND EXPLAIN DO NOT LIE THANK YOU What is the goal of a proof by contradiction? A. The contradiction of the statement is proven false, so the original statement is therefore proven true. B. The contradiction of the statement cannot be determined, so the proof is invalid. C. The truth of the statement cannot be determined, so the proof is invalid. D. The contradiction of the statement is proven true, so the original statement is therefore proven false.
Answer:
A
Step-by-step explanation:
We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite (What we originally wanted to prove) is true.
One less than five times a number is fewer
than twenty-four.
Answer:
x < 5
Step-by-step explanation:
[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]
Answer:
any number under 5
Step-by-step explanation:
5(5) -1 =24
so anything under that would equal fewer than 24
Is this what you're asking?
Mike a local auto mechanic charges a certain amount to diagnose and repair car he bases his price on the amount of time that it takes for the car to be repaired what is the rate of change in the graph.
Answer:
200
Step-by-step explanation:
The time spent repairing the car is five hours while the total cost is about 200 bucks
This model of the backboard of a basketball goal is composed of a rectangle and a semicircle. What is the area of
the model of the backboard in square inches?
Answer:
deal with the rectangle first A = l X w
4 X 12 = 48 squared cm
semi circle
Area of a circle πr^2
12/2 = 6, radius = 6
π6^2 = 113.097335
113.097335/2 = 56.5486677
56.5 + 48 = 104.5 squared cm
What are these two answers,explanation needed
Step-by-step explanation:
1) k(x)= -3x²-3
k (-2)= -3×(-2)²-3
= -12-3
= -15
3)k(a)=a+4
k(0)= 0+4=4
hope it helps.
The table of values represents a linear function. For this function, what is the value of y when x = 4?
х
-4
0
4
6
y
3
4
?
5.5
y =
Given the table of values that represents a linear function, the value of y when x = 4 is: 5.
Recall:
Equation of a linear function can be modelled as y = mx + b.m = slope; b = y-intercept.slope (m) = change in y / change in xy-intercept (b) is the value of y at x = 0.Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):
Slope (m) = (4 - 3)/(0 - (-4)) = 1/4
y-intercept (b) = 4 (from the table, when x = 0, y = 4).
Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:
y = 1/4x + 4
Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:
y = 1/4(4) + 4
y = 1 + 4
y = 5.
Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.
Learn more about linear function on:
https://brainly.com/question/24502219