Answer:
[tex]f(x)=-x^2-4x+21[/tex]
Step-by-step explanation:
The given equation is :
f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.
We need to rewrite this equation in faceted format.
The general form of a quadratic equation is given by :
[tex]f(x)=ax^2+bx+c[/tex]
We have,
a = -1, b = -4 and c = 21
Substitute all the values,
[tex]f(x)=-x^2-4x+21[/tex]
So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].
The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet
Answer:
3 feet
Step-by-step explanation:
P=2(a+b)
14=2(4+b)
14=8+2b
2b=6
b=3
Answer:
3 feet tall
Step-by-step explanation:
14-4-4=6 divided by 2=3 feet tall on two side
answer for brainilest and 30 points
Answer:
V = 1020.5 yd³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h( r is the radius and h the height )
Here r = 5 and h = 13 , then
V = π × 5² × 13
= 3.14 × 25 × 13
= 1020.5 yd³
Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that apply
Answer:
(a) and (b) are correct
Step-by-step explanation:
Given
See attachment for complete question
Required
Select the correct options
A clock is divided into two equal parts.
(1) 1 - 6
(2) 7 - 12
When the hour hand is on (1), then the time is "after"
When the hour hand is on (2), then the time is "before"
From the attached clock, we have:
(1) The hour hand on 9
(2) The minute hand 1 unit above 9 i.e. 46 minutes
(1) implies that, the time is before 9 i.e. past 8
(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8
In (1) and (2) above, we have two interpretations.
1: (60 - 46) minutes before 9
This gives:
14 minutes before 9
2: 46 minutes past 8
i.e. 8 : 46
Suppose that the endpoints of the hypotenuse of a 30-60-90 triangle are (4, -2) and (7,2). Find the lengths of the
two legs of the triangle.
Answer:
90-60-30=0/. 4-2=2 and 7-2=5
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!
Answer:
24 cm³
Step-by-step explanation:
2 × 3 × 4 = 24
What is the area of the trapezoid?
A) 176 cm^2
B)192 cm^2
C)208 cm^2
D)224 cm^2
Answer:
a
Step-by-step explanation:
.
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.
The answer is -2/3, hope this helps!
Find the equation of the circle with a center at (2,-1) and a radius of square root of 12
Answer:
[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0
Step-by-step explanation:
Given that, center at (2,-1)
let a = 2, b = -1
radius, r = [tex]\sqrt{12}[/tex]
As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.
By this formula , we can get,
[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]
[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12
[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0
This is the answer.
Answer the question in the picture?
Answer:
19
Step-by-step explanation:
we know the sides of a rhombus is all equal, so:
4(2x+4)=168
8x+16=168
8x=152
x=19
What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.
(5 x 10^6) x (6 x 10^8)
give answer in standard form.
(answer = 13 points)
Answer:
3 x 10^15
Step-by-step explanation:
5 x 10^6 x 6 x 10^8
30 x 10^14
3 x 10 x 10^14
3 x 10^15
(5 × 6) × (10 ^ 8 + 6) = 30 × 10 ^ 14
pls help! :) only put correct answer ty!!
Answer:
y=6x+18 i think
Step-by-step explanation:
Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?
Answer:
F(t) = 8 + 6(t)
Step-by-step explanation:
6*4 = 24
32-24 = 8
so her initial fee is $8
so function is:
F(t) = 8 + 6(t)
Answer:
1. y = 6x + 8
2. 4 hours.
Step-by-step explanation:
x is each hour of work.
y is the total that Carolina is paid.
y = mx + b
32 = 6(x) + 8
Subtract 8 from both sides.
6x = 32 - 8
6x = 24
Divide both sides by 6.
x = 4
Carolina is works 4 hours to be paid 32.
5x - 4 = 10 improper fraction simpilest form
Answer:
x = 14/5
Step-by-step explanation:
Add 4 to both sides of the equation, Simplify, Divide both sides of the equation by the same term, simplify, to get the answer. plz give brainliest
10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right
Answer:
1) $15 more
2) Formula: 1/2 (2+5) 10
Area: 35
Step-by-step explanation:
1) 30-15=15
2) 1/2 (2+5) 10 = 35
solve for the x value of the x intercept of the line 5x-y=-5
Find the area. Round to the nearest tenth.
Answer:
729 square yards
Step-by-step explanation:
Area = l x w
Area = 27 x 27
Area = 729 square yards
Hope that helps! :)
-Aphrodite
Answer:
It’s 729
Step-by-step explanation:
The hypotenuse of a right triangle is 75 m. One of the legs measures 45 m. What is the length of the missing leg?
Answer:
60 m
Step-by-step explanation:
A^2+b^2=c^2
a^2+45^2=75^2
a^2+2025=5625
a^2=3600
a=60
giving brainliest! help me pls
Answer:
4 feet
Step-by-step explanation:
1 Yard = 3 feet
3 ft. + 1 ft. = 4 ft.
Solve for x
[tex]2x + 5 = 15[/tex]
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ [/tex]
2x=15-5
x=10/2=5
Hope it helps you.
Have a good day.
8x−2=−11+7x +2
Please help me!!
Answer:
x=-7
Step-by-step explanation:
8x - 2 = -11 + 7x + 2
First, separate the terms: move x to one side
subtract 7x from both sides
8x -7x - 2 = -11 + 7x -7x + 2
x - 2 = -11 + 2
Now get x by itself by adding 2 to both sides
x - 2 +2 = -11 + 2 +2
x = -11 + 4
simplify
x = -7
you're welcome
Please help me please I really need help please help me
Answer:
See attached
Step-by-step explanation:
See reflected image in the attached picture
Given the follow set of data, draw a scatter plot of the data, approximate the line of best fit, and estimate y when x = 20.
x| 3 7 10 15 18
---------------------------------------------
y|16 45 82 102 116
Answer:
i do not know
Step-by-step explanation:
PROBABILITY QUESTION (Data) please help
4 cards are taken out of a standard deck (52 cards). What is the probability that the 4th card is a red face card, or a jack given that the jack of diamonds is the first card selected, the queen of hearts is the second card selected, and the third card is the 3 of diamonds?
Answer:
3/49
Step-by-step explanation:
We need to subratact 1 from numerator (as the queen is a red faced card) and 3 from the demonitor as all of them are red cards
Katy planted of the field with wheat and of
the field with potatoes. How much of the field
did she plant?
[tex]katy \: planted \: \frac{65}{72} of \: the \: field[/tex]
may this helps you
bye
what is the horizontal line called
Answer:
Abscissa
Step-by-step explanation:
A 16-cup container of laundry detergent costs $13.60. What is the price per quart?
Answer:
$0.21
Step-by-step explanation:
So, first let's find the cost of a single cup.
16/13.60 = 1/0.85
Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.
1/0.85 = 0.25/0.21
plz help i have been asking thus asking this question for too long
Answer:
1/12
Step-by-step explanation:
1/6 x 1/2 = 1/12
The answer would be 1/6 IF you took 1/6 of the full sheet of paper, but if you are taking 1/6th of half of the paper, then you are taking half the amount. Basically, you would need two 1/6 pieces of one half to be equivalent to one 1/6th piece on the full sheet.
I'm really sorry if my explanation sounds really confusing
Find the area of the triangle
A. 12 Square units
B. 5.5 square units
C. 24 Square units
D. 11 Square units
Answer:
A. 12 sq. units.
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
= 1/2 * 6 * 4
= 12.