Answer:
c(x) = –8x² + 3x – 5
Step-by-step explanation:
Function is quadratic if there is x² and no higher exponent with any x
Answer:
C
Step-by-step explanation:
for edge
plz help me f(x) = 2x – 2 , find f(– 1)
Answer:
-4
Step-by-step explanation:
f(-1) = 2(-1) - 2 = -4
factorize the expression:
mn² + mnp + 3mn + 3mp
Answer:
(mn+3m)(n+p)
Step-by-step explanation:
Answer:
(mn + 3m)(n + p)
Step-by-step explanation:
Factorize by grouping:
[tex]mn^2+mnp\\mn(n+p)\\\\3mn+3mp\\3m(n+p)\\\\(mn+3m)(n+p)[/tex]
if one square yard of carpet costs $15.40, how much will 45.5 square yards cost? ( value only, no commas, dollar signs, symbols, or units)
Work Shown:
1 square yard = 15.40 dollars
45.5*1 square yard = 45.5*15.40 dollars
45.5 square yards = 700.70 dollars
In the second step, I multiplied both sides by 45.5 to turn the "1 square yard" into "45.5" square yards.
Please help solve this. 10points worth it
Answer:
The function is a growth function so I guess A, B and D
suggest a growth curve
Step-by-step explanation:
The function f(x)=x^2 + ax + b has a minimum at (3,9) what are the values of a and b
Answer:
Step-by-step explanation:
The function is f(x)=x^2 + ax + b
Derivate the function:
● f'(x)= 2x + a
Solve the equation f'(x)=0 to find a
The minimum is at (3,9)
Replace x with 9
● 0 = 2×3 + a
● 0 = 6 + a
● a = -6
So the value of a is -6
Hence the equation is x^2 -6x+b
We have a khown point at (3,9)
● 9 = 3^2 -6×3 +b
● 9 = 9 -18 + b
● 9 = -9 +b
● b = 18
So the equation is x^2-6x+18
Verify by graphing the function.
The vetex is (3,9) and it is a minimum so the equation is right
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
The length of a box is 1 cm more than its width. The height of the box is 8 cm greater than the width. The dimensions can be represented by x, x + 1, and x + 8. Multiply the dimensions and find the greatest common factor of the terms.
Answer:
The greatest common factor is x
Step-by-step explanation:
Dimensions: x,x+1,x+8
Multiplication of thee dimensions:
⇒ Product = [tex]x(x+1)(x+8)\\x(x^{2}+8x+1x+8)\\x(x^{2} +9x+8)\\x^{3} +9x^{2} +8x[/tex]
By factorization ,
[tex]x^{3} +9x^{2} +8x\\x(x^{3} +9x+8)[/tex]
Therefore, the greatest common factor of these terms are x
Given Dimensions:
[tex]\to \bold{x, x+1,\ and\ x+8}[/tex]
Multiplying the three dimensions:
[tex]\to x(x+1)(x+8)\\\\\to x(x^2+ 8x+x+8)\\\\\to x(x^2+9x+8)\\\\\to x^3+9x^2+8x\\\\[/tex]
Therefore, the "greatest common factor" of the term is x.
Learn more:
Factor: brainly.com/question/18877132
If 3sinA+4cosA=5 then find the value of cosA
Answer:
Cos A =1.4
Step-by-step explanation:
3sinA=5-4cosA; square both sides: 9sin^2(A)=25-40cosA+16cos^2(A);
9-9cos^2(A)=25-40cosA+16cos^2(A); 25cos^2(A)-40cosA+16=0=(5cosA-4)^2.
cosA=4/5 so sinA=3/5 (√(1-16/25) and sinA+cosA=7/5=1.4.
Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answer:
-1/12
Step-by-step explanation:
-1/3 * 1/4
Multiply the numerators
-1 *1 = -1
Multiply the denominators
3 *4 =12
numerator over denominator
-1/12
Answer:
the answer is [tex]\frac{-1}{12} \\[/tex]
Step-by-step explanation:
[tex]\frac{1}{3} x \frac{1}{4}[/tex]
3x4= 12 is now the denominator
and
the numerator stays the same because -1x1=-1
so there for the answer is [tex]\frac{-1}{12}[/tex]
hope this helped you ^.^ happy holiday
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
Of(x) = -51% + 87 - 1
O f(x) = -3.2? + 4.1 - 1
Of(t) = -202 + 5x - 1
Of(1) = -3.1? + 10.1 - 1
Answer:
The correct option is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
Given the points
(-1, -8), (0, -1), (1, 2), we have;
The general quadratic function;
f(x) = a·x² + b·x + c
From the given points, when x = -1, y = -8, which gives
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.....................................(1)
When x = 0, y = -1, which gives;
-1 = a·0² + b·0 + c = c
c = -1.....................................................(2)
When x = 1, y = 2, which gives;
2 = a·1² + b·1 + c = a + b + c...............(3)
Adding equation (1) to (3), gives;
-8 + 2 = a - b + c + a + b + c
-6 = 2·a + 2·c
From equation (2), c = -1, therefore;
-6 = 2·a + 2×(-1)
-2·a = 2×(-1)+6 = -2 + 6 = 4
-2·a = 4
a = 4/-2 = -2
a = -2
From equation (1), we have;
-8 = a - b + c = -2 - b - 1 = -3 - b
-8 + 3 = -b
-5 = -b
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1
The correct option is f(x) = -2·x² + 5·x - 1.
I need help It’s honors 7 math pls help
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
which value of -7(x2-6)+2y when x=2 and y=6
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
Using the right triangle below, find the tangent of angle B.
시
A
600
0
3-13
300
B
Answer:1&3
Step-by-step explanation:
Tori and Gavin were trying to solve the equation: (x+1)^2-3=13(x+1) 2 −3=13left parenthesis, x, plus, 1, right parenthesis, squared, minus, 3, equals, 13 Tori said, "I'll add 333 to both sides of the equation and solve using square roots." Gavin said, "I'll multiply (x+1)^2(x+1) 2 left parenthesis, x, plus, 1, right parenthesis, squared and rewrite the equation as x^2+2x+1-3=13x 2 +2x+1−3=13x, squared, plus, 2, x, plus, 1, minus, 3, equals, 13. Then I'll subtract 131313 from both sides, combine like terms, and solve using the quadratic formula with a=1a=1a, equals, 1, b=2b=2b, equals, 2, and c=-15c=−15c, equals, minus, 15."
The other answer is correct, its both !<3
Answer:
Both
Step-by-step explanation:
Both Tori and Gavin are correct, the two methods work. Completed this in Khan Academy, it's correct.
Use linear regression to predict the length of a 40-month-old animal. The ages and lengths of several animals of the same species are recorded in the following table: (2 points)
Answer:
Aw what animal
Step-by-step explanation:
Srry I need pointse
2. The ratio of
the profit, cost of
materials and labour
in the production of
an article is 5:7:13
respectively. If the
cost of materials is Le
840 more than that of
labour, find the total
cost of producing the
article
Answer:
3500Step-by-step explanation:
Given the ratio of the profit, cost of materials and labour in the production of
an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25
If the cost of labour is x, the cost of material will be 840+x (since the cost of materials is Le 840 more than that of labour) .
Let the total cost of producing the article be y.
Cost of labour = 13/25 * y = x
Cost of labour = 13y/25 = x.................... 1
Cost of material = 7/25*y = 840+x
Cost of material = 7y/25 = 840+x ..................... 2
From 1, 13y = 25x
x = 13y/25 ................... 3
Substituting equation 3 into 2:
7y/25 = 840+x
7y/25 = 840+13y/25
collect the like terms:
7y/25 - 13y/25 = 840
-6y/25 = 840
-6y = 25*840
y = 25*840/6
y = 3,500
Hence the total cost of producing the article is 3500
11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and
$3 for each flower sold.
a. Evaluate the expressions 3n+20 and 3(n+20) when n = 4.
b. Which expression shows their total cost? How do you know?
Answer:
32
Step-by-step explanation:
3(n+20) = 3(4+20) = 3(24) = 723n+20 = 3(4)+20= 12+20=32If n represents the amount of flowers they sold, then the correct answer should be 32. The cost for each flower they sold would be 3 x 4 and then add $20 for advertising.
You pack sandwiches for a hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich.
How many slices of bread are used for n hikers?
Given that:-
→ 1 sandwich = 2 slices of bread.
→ 1 hiker = 1 sandwich.
→ Then we have to find number of bread slices for n hikers .
→ Number of bread slices for 1 hiker = 2
→ Number of bread slices for 2 hikers = 2 × 2
→ For 3 hikers = 3 × 2
So in similar way
→ Number of bread slices for n hikers = 2×n → 2n
So 2n is the answer.
can someone explain this please?
Answer:
3 + 2y = 2 + 4y
Step-by-step explanation:
1. Create the equation
3 + 2y = 2 + 4y
There are 3 "1" blocks and 2 "y" blocks on the left. There are 2 "1" blocks and 4 "y" blocks on the right. The scale shows both are equal.
Answer:
3 + 2y = 2 + 4y
Step-by-step explanation:
To create an equation from this model, we look at both sides of the scale. The left has three 1 units and two y units, and there are two 1 units and four y units on the right side. Since the scale shows that both sides are equal in weight, we know that our equation would have an equal sign to show they are equal.
Left: Three 1 units can be written as 3 and two y units could be written as 2y.
Right: Two 1 units can be written as 2 and four y units could be written as 4y.
Now, we put these values together (with an equal sign) to get:
3 + 2y = 2 + 4y.
Hope this helps!
Solve for y
4x + 7y +5
in angle PQR, angleQ=70 angle R=45 then angleP=.....
Answer:
65
Step-by-step explanation:
Because its a triangle,
P + Q + R = 180
So,
P + 70 + 45 = 180
P + 115 = 180
Subtract 115 on both sides
P = 65
Find the value of x if 2x-1÷3 is greater than 1-3x÷4 by 1
[tex]\\ \sf\longmapsto \dfrac{2x-1}{3}-\dfrac{1-3x}{4}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{4(2x-1)-3(1-3x)}{12}=1[/tex]
[tex]\\ \sf\longmapsto 8x-4-3+9x=12(1)[/tex]
[tex]\\ \sf\longmapsto 17x-7=12[/tex]
[tex]\\ \sf\longmapsto 17x=12+7[/tex]
[tex]\\ \sf\longmapsto 17x=19[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{19}{17}[/tex]
What is the domain of the relation (8, -2), (4,-2), (3, 2), (-5, -3)?
A. {8,4,3, -5}
B. {-8, -4, 3, 5)
C. 2-5, -3, 4, 8}
D. 2-3, -2, 2}
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.
if your ans is correct i will choose you as a brainlist when the number of student of a school was increased by 30% it became 455. Find the previous number student.
Step-by-step explanation:
find 30% of 455
which is = 136.5
then subtract 136.5 from the original number(455)
455 - 136.5
=318.5 student
Briefly explain how you would graph an equation such as y=7x-2
Answer:
put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant
Step-by-step explanation:
What is the solution to the equation below? (round your answer two decimal places)
e^x=7.1
Answer:
Step-by-step explanation:
In order to undo that e, you need to take the natural log of both sides:
[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with
x = ln(7.1) so
x = 1.96
The perimeter of a triangle is 24 cm.If it’s area is 24cm2 and it’s one of the three sides is 10 cm,find the sides of remaining
Answer:
The other sides are 6cm and 8cm
Step-by-step explanation:
Let the other 2 sides be x and y.
Using herons formula, we have an equation
24=sqrt(12*2*(12-x)*(12-y))
Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.
[tex]-6\left(1-m\right)=9-2m[/tex]
Answer:
[tex]m=\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]-6\left(1-m\right)=9-2m[/tex]
[tex]-6(1-m)=-6+6m[/tex]
[tex]-6+6m=9-2m[/tex]
Add 6 to both sides:-
[tex]-6+6m+6=9-2m+6[/tex]
[tex]6m=-2m+15[/tex]
Now, add 2m to both sides:-
[tex]6m+2m=-2m+15+2m[/tex]
Divide both sides by 8:-
[tex]\frac{8m}{8}=\frac{15}{8}[/tex]
[tex]m=\frac{15}{8}[/tex]
-----------------------
OAmalOHopeO
-----------------------
Answer:
your answer is m=15/8
Is the given equation a quadratic equation? Explain. x(x−6)=−5
The equation is not a quadratic equation because there is no x2-term.
The equation is a quadratic equation because there is an x2-term.
The equation is not a quadratic equation because the expression is not equal to zero.
The equation is not a quadratic equation because there is a term with degree higher than 2.
I think the answer is A but im not sure.
Answer:
The equation is a quadratic equation because there is an x2-term.
Step-by-step explanation:
x(x−6)=−5
Distribute
x^2 -6x = -5
The equation is a quadratic equation because there is an x^2-term.
Answer:
Your required answer is option A.
Step-by-step explanation:
Here,
The given equation is;
x(x-6)=-5
now,
while finding x.
either or,
x=-5 (x-6)=-5
x= 1 (shifting-6 in next side)
now, the value of x is -5,1.
so, it's a quadratic equation.
( in quadratic equation the variable always has two values after solution)
Hope it helps..
PLZ Help! I'm crying over this....
Answer:
D
Step-by-step explanation:
The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
From the graph we can tell that the distance of the car is a function and it's a line
Answered by G a u t h m a t h