Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Find the midpoint of AC.
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
find the length of AB
Answer:
AB=44.98298
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 12 = 44/AB
AB cos 12 = 44
AB = 44/ cos 12
AB=44.98298
Help is needed here…
Answer: 2(−5x^2 +9)(5x^2 +9)
Step-by-step explanation:
Given: 162-50x^4
Factor out 2: 2(81-25x^4)
Rewrite: 2(9^2-(5x^2)^2)
Use difference of squares: 2(9-5x^2)(9+5x^2)
Reorder (if you need to) 2(-5x^2+9)(5x^2+9)
Answer:
6(27 - 8x^4)
Step-by-step explanation:
162 - 50x^4 /2
2(81 - 24x^4) /3
6(27 - 8x^4)
The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.
Answer:
12/17
Step-by-step explanation:
Let
Numerator of the fraction = x
Denominator of the fraction = x + 5
The fraction is
x / (x + 5)
if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.
x + 3 / (x + 5) + 3 = 3/4
x + 3 / x + 8 = 3/4
Cross multiply
(x + 3)4 = (x + 8)3
4x + 12 = 3x + 24
4x - 3x = 24 - 12
x = 12
Recall,
x / (x + 5)
= 12 / (12 + 5)
= 12/17
The original equation = 12/17
Solve the equation by completing the square.
what is soil erosion
Answer:
Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.
It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.
for every 8 dollar oliver earns, he saves 4.2 dollar. how much will he save if he earns 180?
Answer:
94.5
Step-by-step explanation:
Every 8 dollars means he saves 4.2 dollars
180 ÷ 8 = 22.5
22.5 × 4.2 = 94.5
Answer: 94,5
180:8 *4,2=22,5 *4,2 =94,5
Step-by-step explanation:
the question is in the picture
Answer:
∠CBA
Step-by-step explanation:
Answer:
<CBA
Step-by-step explanation:
The vertex has to be in the middle
<CBA
<ABC
or we can name it with just the vertex
<B
Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.
1. 85
2. 15
3. 37
4. 18
1. Significantly different from
2. Relatively close to
1. inconsistent
2. consistent
Answer:
The correct options are:
1. Significantly different from
1. Inconsistent
Explanation:
Sales Data for Midwest:
Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.
Answer:
In the picture
Step-by-step explanation:
From Plato / Edm
In a biconditional statement, the output is true if at least one input is true.
-true
-false
please help me rn i need it! same question on the 2 pictures!
Answer:
C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week
Step-by-step explanation:
Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:
Rate of change = y/x = 1.5/2 = 0.75 inches per week
The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.
The graph shown above has a rate of change of 2 inches per week.
Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.
Factor 16p4 - 24p3. find the factor
Answer:
8p^3 ( 2p -3)
Step-by-step explanation:
16p^4 - 24p^3
8*2* p^3 *p - 3*8*p^3
Factor out the common terms
8p^3 ( 2p -3)
Please help with this on the picture
help pls my mom will yell at me lol :) thanks
Answer:
The y intercept of f(x) is 8 and the equation of the horizontal asymptote is y = 0
Answered by GAUTHMATH
solve for w: 7w < -56
Lets solve
[tex]\\ \sf\longmapsto 7w<-56[/tex]
Take 7 to right side[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]
Simplify[tex]\\ \sf\longmapsto w<-8[/tex]
Answer:
[tex]\boxed {\boxed {\sf w < -8}}[/tex]
Step-by-step explanation:
We are given an inequality and asked to solve for the variable w.
[tex]7w < -56[/tex]
In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.
[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]
[tex]w < \frac{-56}{7}[/tex]
[tex]w < -8[/tex]
w is less than -8 or w < -8.
A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.
Answer:
number to get a better price
Answer:
if I'm not wrong,then this is the equation
Step-by-step explanation:
CP=5000
SP=5085
VAT=13℅
now,
VAT amount=VAT℅ OF SP
=13℅ OF 5085
=13/100*5085
=rs.661.05
again,
profit℅= SP-CP/CP*100℅
=85/500*100
=17℅ answer
Help me with this anyone
Answer:
1/4
Step-by-step explanation:
b+-sqrt b^2-4ac all over 2a
Can someone find this for me please?
Answer:
the larger one is 183
Step-by-step explanation:
[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]
I need help with this
The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1
Answer:
i think the answer is y = 3x + 4
Step-by-step explanation:
:)
I need help with this please :)
Answer:
C
Step-by-step explanation:
this is an arithmetic sequence (we add something from element to element).
"an" describes the salary during the nth year.
a1 = $3000
a2 = a1 + 600
a3 = a2 + 600 = a1 + 600 + 600 = a1 + (3-1)×600
an = a1 + (n-1)×600 = 3000 + (n-1)×600
so,
a15 = 3000 + (15-1)×600 = 3000 + 14×600 = $11400
Can some one help please
Answer: [tex]\fbox{C} \: \: \: \dfrac{4 \times 10^{4} }{3 \times 10^{4} }[/tex]
Step-by-step explanation:
36,070 = 3.607 · 10⁴ ≈ 4 · 10⁴
29,029 = 2.9029 · 10⁴ ≈ 3 · 10⁴
Let's how manytimes greater the distance to the bottom of Challenger Deep is than the distance to the top of Mount Everest:
[tex]\dfrac{4 \times 10^{4} }{3 \times 10^{4} }[/tex]
Answer:
C
Step-by-step explanation:
First, the question is asking how many times greater the distance to the Challenger Deep is compared to Mount Everest. This means that the Challenger Deep will be on top, with the distance to Mount Everest on the bottom.
Next, we can see that in our answers, we are only given one significant digit. This means that we have to round our original numbers to the nearest significant digit and work from there. For Challenger Deep, 36,070 must be rounded to the nearest ten thousandth as it is in the ten thousands. Therefore, it must be rounded to 40,000 or 30,000. As 36,070 is closer to 40,000 than 30,000 (we can tell this because the second number, 6, is greater than 5, so we round up), we can represent this as 40,000. For Mount Everest, we can round 29,029 to either 20,000 or 30,000. 30,000 is the appropriate choice here because 9, the second number, is greater than 5.
Therefore, our ratio is now 40,000 / 30,000 . Our answers are written in scientific notation, so we must convert our numbers to those values.
Let's start with 40,000 . Our one significant digit is 4, so we can write this as 4 * something. For each number in 10 to the power of x (x is a placeholder value), we add x amount of zeros. For example, for 4 * 10², we add 2 zeros, making it 400. There are 4 zeros here, so to write this in scientific notation, we have 4 * 10^4
Similarly, for 30,000 , we can write this as 3 * 10^4 as there are 4 zeros.
Our ratio is thus 40,000 = 4*10^4 , which is the Challenger Deep value rounded, over 30,000 = 3 * 10^4, which is the Mount Everest value rounded. We can write this as [tex]\frac{4*10^{4}}{3*10^{4}}[/tex], or C
7TH GRADE MATH. PLS HELP
Answer:
192 squared centimeters
Step-by-step explanation:
area equal to 1/2 * base * perpendicular height
1/2*24*16
=192 squared centimeters
Answer: 192 cm squared
Step-by-step explanation:
Area of a triangle: 1/2bh
1/2x basex height
Base= 24 cm
Height: 16 cm
24x16=384
1/2x384= 192
192 cm squared
Hope this helps:) and brainliest would be appreciated thanks!
x + 4 < 16 what the heck is the dang answer
Answer:
x < 12
Step-by-step explanation:
x +4 <16
x < 16 - 4
x < 12
Please Mark me brainliest
What is the solution of x + 1/5 (x - 1) = 1?
Answer:
1
Step-by-step explanation:
x-1+ 1 /5*( x-1)=0
(x-1)*6/5=0
x=1
Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|
|x| basically means the count of how far from zero. It will always be a positive number.
So the answer is A. |-20| < 20
because 20 is not greater than 20
what is the CP if SP is Rs:20 and profit is Rs:7
Answer:
CP is 13 because 20-13=7 also you can subtract 20-7=13
So, here us your ans 13.
(x/a)+(x/b)=c; where a≠0, b≠0, a≠-b, solve for x
Answer:
I hope it is correct.. :)
Please zoom in on the question
I will mark brainliast
Simplify this equation: 10f + 3 = 23 + 6f
Answer:
Step-by-step explanation:
10f + 3 = 23 + 6f
4f + 3 = 23
4f = 20
f = 5
Answer:
f = 5
Step-by-step explanation:
10f + 3 = 23 + 6f
Move the variable to the left-hand side and change its sign
10f + 3 - 6f = 23
Move the constant to the right-hand side and change its sign
10f - 6f = 23 - 3
Collect like terms and Subtract the numbers
4f = 23 - 3
4f = 20
Then divide both sides of the equation by 4
f = 5
