Answer:
-x² + 16x - 60
Step-by-step explanation:
Given expression:
-(x - 8)² + 4Step 1. Insert brackets to isolate the "-" from the (x - 8)².
⇒ -(x - 8)² + 4
⇒ -[(x - 8)²] + 4
Step 2. Use the formula (a - b)² = a² - 2ab + b²
⇒ -[(x - 8)²] + 4
⇒ -[x² - 2(x)(8) + 8²] + 4
Step 3. Open the parenthesis
⇒ -[x² - 2(x)(8) + 8²] + 4
⇒ -x² + 2(x)(8) - 8² + 4
Step 4. Simplify as needed
⇒ -x² + 16(x) - 64 + 4
⇒ -x² + 16x - 60
Which function describes this graph?
O A. y = (x+5)(x-3)
B. y = x2 + 5x+12
O C. y -(x-2)(x - 5)
D. y = 2.7x+10
Answer: B
Step-by-step explanation:
Change the subject of the equation v = u + at to a.
In order to make a the subject of this equation , we need to get a by itself .
The current equation is :
v = u + at
Subtract u on both sides :
v-u=at
Now, divide by t on both sides :
v-u/t=a
So the formula looks like ↓[tex]\boxed{\\\begin{minipage}{3cm}Equation \\ a=$\displaystyle\frac{v-u}{t} $ \\ \end{minipage}}[/tex]
hope helpful ~
Im so confused… PLEASE HELP.. also sorry its so dark but its 6,6
Answer:
what is it asking?
Step-by-step explanation:
if its how many cubes it needs for it to fill up its 9
7. Claire has a $60 gift card. She uses the
whole value of the card to buy 4 copies
of the same book to give as gifts. How
much does each book cost?
Answer:
$15
Step-by-step explanation:
60/4 = 15
To make lemonade, Carlos used 5 times more water than lemon juice. He used 3 pints of lemon juice. After making the lemonade, he poured it equally into 4 jugs. How many cups of lemonade are in each jug?
Answer:
11 Cups
Step-by-step explanation:
Carlos used 3 pints of lemon juice and 5 times more water than lemon juice. So, he uses 3 x 5 = 15 pints of water for the lemonade. The amount of lemonade is 15 + 3 = 18 pints. Now he pours it equally into 4 jugs which makes it 18 ÷ 4 = 4.5 pints in each jug. Now 1 pint fills 2.4 cups which means 4.5 pints will fill 4.5 x 2.4 = 10.8 cups which will apprroximately be 11 cups.
State translation,reflection or rotation
(x, y) ——-> (x + 9, y + 2)
Answer:
Translation
Step-by-step explanation:
Translation as the x and y are both being moved over the plane.
Find the inequality represented by the graph
[tex]y\geq 2x-5[/tex]
This is because the equation of the line is y=2x-5, and the y-values have to be greater, so it is >, and since the line is not dotted, it would become greater than or equal to.
What is the distance between the points (-1 , -11) and (-1 , 23) in a coordinate plane?
Answer:
they're are just both different numbers on the coordinate plane. Simple.
Step-by-step explanation:
Find the area of the shape below:
NOTE: The figure is NOT drawn to scale
Answer:
Find the rectangle's area on the left hand side, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = l x w
A = 15 x 5
A = 75 square units is the area of the left rectangle.
Now let's find the rectangle's area on the right hand side, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
A = l x w
A = 15 x 4
A = 60 square units is the area of the right rectangle.
Now find the middle small horizontal rectangle's area, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
But, let's figure out the length first.
We know that from the left rectangle, the two side lengths beside the unknown length of the middle rectangle area 5 and 7.
The unknown length plus those two lengths (5&7) will have to equal 15 since that is the total length, so;
15 - (5 + 7) = x
15 - 12 = x
3 = x, so the unknown length of the middle rectangle is 3.
Plug in what you know into the formula:
A = l x w
A = 3 x 7
A = 21 square units is the area of the middle rectangle.
Now add up all the areas together:
75 + 60 + 21
= 156 square units is the area of the shape.
What is the to this Question please let me now
4^4=
Answer:
4^4=4*4*4*16*16=256
Step-by-step explanation:
Answer:
4^4 =16
Step-by-step explanation:
4^4 = 4 · 4
they are both the same thing
4 + 4+4+4 = 16
a jewelry maker uses 4/5 yards of wire to make 3 necklaces. She uses the same length of wire for each necklace. What length of wire will she use to make 5 of the same necklaces.
Answer:
[tex]\frac{4}{3} \text \ yards\ of\ wire[/tex]
Step-by-step explanation:
She uses 4/5 yards of wire to make 3 necklaces
Then
In Oder to make 1 necklace she use :
[tex]\frac{\left( \frac{4}{5} \right) }{3} =\frac{\frac{4}{5} }{\frac{3}{1} } =\frac{4}{5} \times \frac{1}{3} = \frac{4}{15}\ \ \small\text yards\ of \ wire[/tex]
Now to make to make 5 of the same necklaces she needs :
[tex]\frac{4}{15} \times 5=\frac{4}{15} \times \frac{5}{1} =\frac{20}{15}= \frac{4}{3} \ \ \ \text \ yards\ of\ wire[/tex]
help me add the location for each point of a b and c
A = -4
B = -1
C = 3
hope this helped!
24 There are 4 students running for president in the school election. The likelihood of
each student winning has been estimated by surveying a random sample of
students. The results of the survey are shown below.
Jocelyn
1
5
Melvin 1596
Sharon
3
10
Jayden 0.35
Which student is most likely to win?
A Jocelyn
B Melvin
C Sharon
D Jayden
Answer:
D
Step-by-step explanation:
1/5 = 20%
3/10 = 30%
15%<35%
30%<35%
20%<35%
(06. 02 MC)
A fast-food chain claims one small order of its tater tots weighs 90 grams. Ava thinks she
is getting less than what the restaurant advertises. She weighs the next 14 random
orders of tater tots before she eats them and finds the sample mean is 89. 3 grams and
the standard deviation is 3. 71 grams. What conclusion can be drawn at a = 0. 05? (2
points)
There is not sufficient evidence to prove the fast-food chain advertisement is true.
There is sufficient evidence to prove the fast-food chain advertisement is false.
Ava does not have sufficient evidence to reject the fast-food chain's claim.
O Ava has sufficient evidence to reject the fast-food chain's claim.
There is not sufficient data to reach any conclusion.
Answer: Ava doesn’t have sufficient evidence to reject the fast-food chains claim.
Step-by-step explanation: I got it right on the quiz lol
Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
It is given that:
A fast-food chain claims one small order of its tater tots weighs 90 grams.
She weighs the next 14 random orders of tater tots before she eats them.
The sample mean X = 89.3 grams
The standard deviation SD = 3.71 grams
Z = (u - X)/sd
Z = (90 - 89.3)/3.71
Z = 0.18
Thus, Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.
Learn more about the statistics here:
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can someone help me for this question?
Answer:
Step-by-step explanation:
To find the equation of the tangent to the given function, you must differentiate the function with respect to 'x'. The derivative (y prime) will give the tangent line at any point along the function. After we find the tangent equation, we let x equal zero which will alow us to find the slope at that point.
Begin by bringing the entire denominator to the top. If not, you'll have to do the quotient rule which is very annoying 99% of the time. You will get:
[tex]y=5(e^{2x} +3)^{-1}[/tex]
With this now, you can use the chain rule twice. Begin by differentiating:
[tex]\frac{dy}{dx} =5\frac{d}{dx} [e^{2x} +3)^{-1}][/tex]
Use the chain rule:
[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}\frac{d}{dx} [e^{2x} +3][/tex]
Use the chain rule again:
[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}[2e^{2x} ][/tex]
Simplify:
[tex]y'=-\frac{10e^{2x} }{(e^{2x}+3)^{2}}[/tex]
Let x = 0 to get:
[tex]y'=-\frac{10}{4^{2}} =-10/16=-5/8=-0.625[/tex]
after jill received her paycheck, she put $150.00 into a saving account. she spent $12.49 on a CD, $29.89 on a pair of jeans and $12.95 on dinner. She had $44.67 left. How much was Jill’s paycheck
Answer:
Jill had $250 in her paycheck
Step-by-step explanation:
150+12.49+28.89+12.95
+44.67=249 technically not 250 but its the closest answer.
A 30% discount is given on the cost of a $420 laptop. How much is the discount
Answer: $126
Step-by-step explanation: 30/100 × 420/1
need help will give brainlist
Answer:
The last option morgan didn't distribute the negative sign
The tax rate is 6.8% what is the tax on $9.95
Answer:
$10.60
Step-by-step explanation:
6.8% = .068
.068 x 9.95
0.64675
since this is money
$.65
$9.95 + $.65
$10.60
What is the area of the figure?
A figure can be broken into a rectangle and triangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
5One-third ft2
6 and two-thirds ft2
7 ft2
9 ft2
Answer:
Given a figure that is broken into a rectangle and triangle.
The dimensions of the rectangle are:
Base : 5 ft
Height : 1/3 ft
The dimensions of the triangle are :
Base : 3 upon 2/3 ft
Height : 2 ft
The area of the figure calculated below :-
Area of rectangle + Area of triangle
Area of rectangle + Area of triangleLB + 1/2BH
(5×1/3) + (1/3+3upon2/3×2)
The result is simplified below :-
5/3+11/3
5+11/3
16/3 ft
51/3 ft square.
The area of the figure is 5 and one third square feet.
Answer:
5 1/3
Step-by-step explanation:
jefferson elementary school has 47 classrooms. There are approximately 28 students in each classroom. about how many students attend jefferson elementary school
Answer:
1316 students
Step-by-step explanation:
to find the answer to this question you simply multiply the number of students in each classroom 28 people by the number of classrooms 47.
28 (students) X 47 (classrooms) = 1316
Question 16 of 25
What is the inverse of the function below?
fx) = x - 4
O A. f-1(x) = x- 4
O B. f- (x) =-X+4
O c. f-1(x) = x+4
O D. f-1(x) = -x- 4
The inverse of the function is f ( x )⁻¹ = x + 4
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x - 4 be equation (1)
On simplifying , we get
The inverse of the function is given by replacing x with y
So , the value of the function is
y = x - 4
x = y + 4
On interchanging , we get
f ( x )⁻¹ = x + 4
Hence , the inverse is f ( x )⁻¹ = x + 4
To learn more about function rule click :
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help me please
help me please
Answer:
1 second
Step-by-step explanation:
[tex]s=-5\\u=0\\v=\\a=-10\\t=t[/tex]
[tex]\begin{aligned}\textsf{Using} \quad s & =ut+\dfrac12at^2\\ \implies -5 & =(0)t+\dfrac12(-10)t^2\\ -5 & = -5t^2\\ t^2& = 1\\ t & = \pm\sqrt{1}\\ t & = 1\: \sf s\end{aligned}[/tex]
Anthony is planning a trip, using
a map with a scale of 1 cm to
15 miles. If the destination is
15 cm away on the map, how far
away, in miles, is the destination?
[?] miles
Answer:
225 miles
Step-by-step explanation:
(15)(15)=225
Hope this helps
Harry gave 13% of his 3400 pay check to kane. How much money did kane receive
Answer:
in photo
Step-by-step explanation:
ur welcome fellow human
Find all real numbers x such that 3x - 4 < 5 and -8x - 19 < 21
Answer:
the numbers are -5 and 3
Step-by-step explanation:
First of all, the question is asking you to find the values of x from the given inequalities.
-8x -19<21 and 3x - 4 < 5
group all liked terms, in other words, make x and its coefficient stand alone.
-8x < 21 + 19 and 3x < 5 + 4
-19 became +19 because it crossed the sign <, also -4 became +4 because it crossed the sign <.
so we get
-8x < 40 and 3x < 9
we divide each "x" by its coefficient
[tex] \frac{ - 8x}{ - 8} < \frac{40}{ - 8} \: and \: \frac{3x}{3} < \frac{9}{3} [/tex]
then we get
x < -5 and x < 3
but x is positive so it's greater than -5 so we get
x > -5 and x < 3
if the point (-1,-5) is reflected across the x - axis, what is the new location of the point
Answer: ( -1, 5 )
Step-by-step explanation: Reflection across the x axis only flips the sign of the y axis
give it a line segment containing the points AB and C in order if AB is four and BC is 16 then what is the length of AC
i need help plss its a spring break thing and i need help
Answer:
It's B, because thats where the two points cross
Step-by-step explanation:
Complete the table
Original Price: [ ? ]
Percent of Discount: 25%
Sale Price: $40
What is the original price?