9514 1404 393
Answer:
f(x) = 2(x -3)² +5
Step-by-step explanation:
For vertex (h, k) and scale factor 'a', the vertex form is ...
f(x) = a(x -h)² +k
We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.
55 = a(-2 -3)² +5
50 = 25a . . . . . . . . subtract 5
a = 2 . . . . . . . . . . . divide by 25
So, the function is ...
f(x) = 2(x -3)² +5
__
In standard form, that will be ...
f(x) = 2x² -12x +23
a right triangle has side lengths a, b, and c as shown below. Use these lengths to find tanx, sinx, and cosx.
Answer:
Tanx= b/c
Sinx=b/a
Coax=c/a
Step-by-step explanation:
A car travelling at a constant speed travels 90km in 50 min .How far travelling at the same constant speed will the car travel in 2 hours and 25 minutes?
Answer:
261 km
Step-by-step explanation:
given,s=constant
d1/T1=d2/T2
d1=90km,t1=50 min
d2=? ,t2=(120+25)min
=145min
therefore,d2=(90×145)/50
=261 km
Which is larger, 8 tons or 14,000 pounds?
Answer:
obviously 8 tons bro ...
Answer:
Since 1 ton equals 2000 pounds, 8 tons would equal 16000, so 8 tons is more than 14000 pounds
Step-by-step explanation:
Can anyone help me?? I'll give anyone brainliest for correct answers...
Answer: A
Step-by-step explanation:
-120 is how many people leave a year so multiply that by the 3 years it’s been happening then it’s A, 360 left in the past 3 years
A. Y
B. X
C. W
D. Z
6. A certain $400 investment is increasing 10%
every year.
a. What is the the sequence generator (multiplier)?
Answer:
0.10
Step-by-step explanation:
0.10 = 10/100 or 10%
Multiply 400*0.10 to get 10% of 400.
What is the coefficient in the term 7x-8
Answer:About "Identify the terms and coefficients" Identify the terms and coefficients : A single variable or a constant or a combination of these as a product or quotient forms a term.
Step-by-step explanation:
Answer:
I think you forgot to put the picture
Step-by-step explanation:
but try this:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Help asap! 20 pooints best answer for both questions
Answer:
Both of them would be D!
Step-by-step explanation:
Hope this helps, sorry if I am wrong.
Discs of a radius 4cm are cut from a rectangular plastic sheet of length 84cm and width 24 cm
How many complete discs can be cut out?
The total area of the discs?
The total area of the sheet wasted?
Answer: 40
Step-by-step explanation:
Given
Radius of disc [tex]r=4\ cm[/tex]
The dimension of the sheet is [tex]84\times 24\ cm^2[/tex]
Area of a single disc
[tex]\Rightarrow a=\pi r^2=\frac{22}{7}\times 4^2\\\\\Rightarrow a=\frac{352}{7}\ cm^2[/tex]
Area of sheet
[tex]\Rightarrow A=84\times 24=2016\ cm^2[/tex]
No. of discs that can be cut off the sheet are
[tex]\Rightarrow n=\dfrac{A}{a}=\dfrac{2016}{\frac{352}{7}}=\dfrac{2016\times7}{352}\\\Rightarrow n\approx 40[/tex]
The total area of the disc is
[tex]\Rightarrow na=40\times\frac{352}{7}=2011.428\ cm^2[/tex]
Sheet wasted
[tex]\Rightarrow A-na=2016-2011.428=4.57\ cm^2[/tex]
Simplifique a expressão [5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]²
Answer:
5^43
Step-by-step explanation:
[5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]² =
= [5² . 5² . 5³. 5³ . (5³)³ ]³ : [(5²)² . 5² . 5]²
= [5² . 5² . 5³. 5³ . 5^9 ]³ : [5^4 . 5² . 5]²
= [5^19]³ : [5^7]²
= 5^57 : 5^14
= 5^43
Factorise x to the power of 4n + x to the power of 2n + 1 completely where n is an odd integer.
Answer:
[tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]---------------------------------------------
x⁴ⁿ + x²ⁿ⁺¹ = x²ⁿ⁺¹(x²ⁿ⁻¹ + 1)n is an odd integer, let n = 2m + 1
Then
2n - 1 = 2(2m + 1) - 1 = 4m + 2 - 1 = 4m + 12n + 1 = 2(2m + 1) + 1 = 4m + 2 + 1 = 4m + 3x²ⁿ⁺¹(x²ⁿ⁻¹ + 1) = [tex]x^{4m + 3}(x^{4m+1} + 1)[/tex] =[tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]7. Calculate the unit cost.
a) $1.85 for 4 kg of peaches
b) $16.99 for a 454 g package of cooked
shrimp
c) $2.99 for a 1.89 L bottle of juice
d) $283.28 for 22.5 m2 of flooring tiles
Answer:
Step-by-step explanation:
It cost $0.46 for 1 kg of peaches $.46/kg
It cost $12.6 for 1 m² of flooring tiles $12.6/1 m² of flooring tiles
It cost $1.6 for 1 L bottle of juice $1.6/L
dont know shrimp
The unit costs are:
(a) $1.85 for 4 kg peaches= $0.4625 per Kg
(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg
(c) $2.99 for a 1.89 L bottle juice= $1.58 per L
(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²
How to calculate unit value?In order to find the unit value of a quantity then divide the total cost by the quantity to get the unit price.
Unit price = total cost/ total number of quantity
here given
(a) $1.85 for 4 kg peaches
unit cost = total cost/ total number of quantity
= $1.85/4 Kg
=$0.4625 per Kg
(b) $16.99 for a 454 g package cooked shrimp
unit cost = total cost/ total number of quantity
= $16.99/454g
=$0.037 per gram
=$37.423 per Kg
(c) $2.99 for a 1.89 L bottle juice
unit cost = total cost/ total number of quantity
= $2.99/1.89L
=$1.58 per L
(d) $283.28 for 22.5 m2 flooring tiles
unit cost = total cost/ total number of quantity
=$283.28/22.5m²
=$12.6 per m²
Therefore the final unit costs are:
(a) $1.85 for 4 kg peaches= $0.4625 per Kg
(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg
(c) $2.99 for a 1.89 L bottle juice= $1.58 per L
(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²
Learn more about unit value
here: https://brainly.com/question/14125148
#SPJ2
Simplify the expression. Write your answer using only positive exponents.
p^-5
Answer:
1/p⁵
Step-by-step explanation:
Aaron took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2 plus $3.50 per mile. The total fare was $58, not including the tip. Which equation could be used to determine xx, the number of miles in the taxi ride?
Answer:
58=3.50x=2
Step-by-step explanation:
Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0
Answer:
The equations which have only one solution is: 5x²+20x+20=0,
Step-by-step explanation:
Answer:
5x^2 + 20x + 20 = 0
12+ 6x +9= 0
Step-by-step explanation:
5x^2 + 20x + 20 = 0 /5 12 + 6x + 9 = 0
x^2 + 4x + 4 = 0 6x = -9-12
(x+2)^2=0 6x = -21
x + 2 = 0 x = -21/6
x=-2 x = -3.5
If a rectangle has an area of x^2+x-20 and a width of x-4, what is the length?
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
2
If = X – 1= 4, then x =
x – ,
3
Answer:
X=15/2
Step-by-step explanation:
hope it helps you
have a great day
Answer:
a
Step-by-step explanation:
15/2×2/3=30/6=5
5-1=4
hope this helps
please help I'm timed
Answer:
60 students-530 Question 1.
Step-by-step explanation:
giving brainliest:
can someone help me asap? thanks x
Answer:
1/2.7 + 1/3.7
Step-by-step explanation:
Answer:
The answer is 3
Step-by-step explanation:
Hope this right.But if it's not,im so sorry..
Have a nice say
change the voice of do you repair cars
If angle 2 is 130°, what are the measures of 1, 3 and 4
Answer:
The missing are 8°, 16°, 24°.Let the missing angles be x, 2x, 3x.
X + 130° + 2x + 3x = 180°. (sum of angles is 180°)
6x + 130° = 180°
6x = 180°- 130°
6x = 50°
x = 50° ÷ 6
x = 8°
:. 2x = 8 × 2
16°
:. 3x = 8 × 3
24°
Step-by-step explanation:
Hope it is helpful...
Please help! Find the value of x. Round to the nearest tenth
Answer:
Step-by-step explanation:
tan Ф = opposite side divided by the adjacent side
tan Ф = opp/adj in your problem Ф is x
tan x = 4/9
x = arctan (4/9) on your calculator arctan is might look like inverse tan
or you might have to use the 2nd (second) button and then tan
x = inverse tan (0.44444 repeating) try it on your own calculator
= 23.962488974578183 rounds up to 24.0
= 24.0
A bag contains a total of 25 marbles. The bag contains white, yellow, and
red marbles. You randomly select one marble from the bag. The probability
that you select a red marble is 16%. How many red marbles are in the bag?
16% * 25 = 4
There are 4 red marbles.
Answer:
4 red marbles
Step-by-step explanation:
25* 0.16 = 4
HELP ME I'M STUCK!!!! PLEASE AND THANK YOU!!!!
Answer: 1/8
Step-by-step explanation: The sample space are all of the different outcomes an event can lead to. The H and T combinations at the bottom are all of the different outcomes. I think the probability of getting 3 tails for the coins (or TTT) is 1/8. This is because there are 24 total outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). There is 3/24 TTTs (also, 1/8 if you count the groups/simplify). Therefore, it is 1/8. Hope this helps!
a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton candy and spent 12$ . What is the equation that models this situation
Answer:
x3+y2=12
Step-by-step explanation:
I don't have a step by step explanation, hope this helps!!!
3. The dollar amount d that Megan earns varies directly with the number of
hours h that she works. In her last paycheck, she earned $148.50 working
18 hours. If her next paycheck is $107.25, how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
148.5/18=8.25
107.25/8.25=13
For the smart person to answer.
Step-by-step explanation:
GCF: greatest common factor of any two (or more) numbers
Top left:
GCF of 4, 10, 14: 2
Top right:
GCF of 14, 35, 84: 7
Bottom left:
GCF of 9, 18, 42: 3
Right left:
GCF of 8, 32: 8
Find the value of x for which (2)^3x = 8^2.
Answer:
x = 2
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex](2)^{3x}[/tex] = [tex]2^{3x}[/tex] and 8 = (2³ )² = [tex]2^{6}[/tex] , so
[tex]2^{3x}[/tex] = [tex]2^{6}[/tex]
Since the bases on both sides are equal, both 2, equate the exponents
3x = 6 ( divide both sides by 3 )
x = 2
Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High. It is shaped like a rectangular prism. What is the surface area of the box? *
Answer:
106 in²
Step-by-step explanation:
Given that :
Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High.
Using the relation :
SA=2lw+2lh+2hw
Surface area :
2(lw + lh + hw)
l = 8 ; w = 5 ; h = 1
Surface area :
2(8*5 + 8*1 + 1*5)
Surface area :
2(40 + 8 + 5)
= 2(53)
= 106 in²
*ANSWER ASAP* how many times greater is 9 times 10^(5) than 8 times 10^(2)
