Answers
Answer:
Step-by-step explanation:
(f*g)(x) = (-5x² + 2x + 7) (x +1)
= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)
= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7
= -5x³ + 2x² + 7x - 5x² + 2x + 7
= - 5x³ + 2x² -5x² + 7x + 2x +7 {Combine like terms}
= -5x³ - 3x² + 9x + 7
4) (f*g)(x) = (x² + 2x + 4)(x - 2)
= x*(x² + 2x + 4) - 2*(x² + 2x + 4)
= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4
= x³ + 2x² + 4x -2x² -4x - 8
= x³ - 8
[tex]2) Speed=\dfrac{distance}{time}\\\\\\= \dfrac{d(h)}{t(h)}\\\\= \dfrac{2\sqrt{h}}{3\sqrt{4h}}=\dfrac{2*\sqrt{h}}{3*2\sqrt{h}}\\\\\\=\dfrac{1}{3}[/tex]
[tex]1)d(h) = \sqrt{16h^{4}}=\sqrt{2*2*2*2*h*h*h*h}=2*2*h*h=4h^{2}\\\\\\t(h) = 3h^{4}-3h^{3}-5h^{2}= h^{2}(3h^{2}-3h - 5))\\\\Speed=\dfrac{4h^{2}}{h^{2}(3h^{2}-3h-5)}\\\\=\dfrac{4}{3h^{2}-3h-5}[/tex]
Related Questions
What is the following sum?
Answers
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answers
Answer:
first one my sister tried itStep-by-step explanation:
Please help with these questions
Answers
Answer:
A. 8 to 2
b. 2 to 4
c. 6 and 4 or 3 and 5
d. 3and 6
e. 1 and 8
Step-by-step explanation:
Campbell food distribution pays frank bell a $1290 monthly salary plus a 11% commission on merchandise he sells each month. assume franks sales were $31,600 for last month.
Calculate the following amounts:
1. Amount of commission:
2. Gross pay:
Answers
Answer:
1. Amount of commission =$3476
2.Gross pay = $4766
Step-by-step explanation:
commission =(11/100)×31,600
=$3476
Gross pay = 3476+1290
=$4766
The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
Answers
Answer:
Length 20
Width 15
Step-by-step explanation:
Simplify the following expression.
6 + (-11)
A. -17
B.-5
C. 5
D.17
Answers
explanation: 11-6=5 therefore 6+(-11)= -5
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answers
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.
Answers
Answer:
0,3,6, and 30
Step-by-step explanation:
Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg, and the weight of one pair was lost. The total weight of the four boys was 230 kg. What was the lost weight?
Answers
The lost pair of weight can be found by subtracting the a known pair from
the total weight leaving the value of the lost pair.
The lost weight of a pair of boys is 120 kg
Reasons:
Let a, b, c, and d represent the weights of the four boys, we have;
The number of ways of selecting pairs (two boys) of boys from a group of
four is given using combination formula as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - r)!}[/tex]
Which gives;
[tex]_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6[/tex]
₄C₂ = 6
Therefore, the weights of the pairs are;
a + b = 110
a + c = 112
a + d = 113
b + c = 118
b + d = 121
c + d = Lost weight
c + d = Lost weighta + b + c + d = 230 (given)
Therefore;
The lost weight, c + d = 230 - (a + b)
Which gives;
c + d = 230 - (110) = 120
The lost weight = c + d = 120
The lost weight = 120 kgLearn more here:
https://brainly.com/question/12974932
Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
similar method to the answer previously
What is the slope of (1,3/4) and (4,-3)
Answers
Answer:
=-0.75
Step-by-step explanation:
S=y2_y1/x2_x1
Where x1=1
Y1=3/4
X2=4
Y2=-3
Solve the equation.
2/3-4x+7/2 = -9x5/6
If necessary:
Combine Terms
Apply properties:
Add
Subtract
Multiply
Divide
To start over:
Reset
Answers
Answer:
x = - 25/21
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
The solution to the equation 2/3 - 4x + 7/2 = -9x * 5/6 is x = 25/21.
To solve the equation: 2/3 - 4x + 7/2 = -9x * 5/6
Let's first combine like terms on the left side:
2/3 + 7/2 - 4x = -9x * 5/6
To add the fractions, we need a common denominator:
The common denominator for 3 and 2 is 6. So, we rewrite 2/3 as 4/6:
4/6 + 7/2 - 4x = -9x * 5/6
Now, we can add the fractions:
(4/6) + (7/2) = (8/12) + (42/12) = 50/12 = 25/6
The equation becomes:
25/6 - 4x = -9x * 5/6
Now, let's simplify further:
25/6 - 4x = -45x/6
To eliminate the fractions, we can multiply both sides by 6:
6 * (25/6 - 4x) = 6 * (-45x/6)
This simplifies to:
25 - 24x = -45x
Next, let's gather the x terms on one side of the equation:
-24x + 45x = 25
Combining the x terms:
21x = 25
Finally, solve for x by dividing both sides by 21:
x = 25/21
Therefore, the solution to the equation is x = 25/21.
To know more about solution, refer here:
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#SPJ2
help me pls with math
Answers
Answer:
d
Step-by-step explanation:
Can someone help me with this I’m not getting it
Answers
Answer:
n = 3.5
Step-by-step explanation:
basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:
2.8/4.8 = n/6
0.583 = n/6
3.5 = n
omg someone help me pleasee
*the bottom is letter is D*
Answers
2. angle ADB = angle CDB — definition of angle bisector
3. segment BD = segment BD — reflexive property
4. triangle ABD = triangle CBD — ASA theorem
5. segment AD ~= segment CD — CPCTC (corresponding parts of congruent triangles are congruent )
helpppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
There are 16 squares and 12/16 is 75 percent so 75% - green
25% - white hope this helps :)
Step-by-step explanation:
Right in equation for the line with a slope of -2 and a y-intercept of 1
Answers
Answer:
Step-by-step explanation:
Use the slope intercept formula.
y = mx + b
m = slope
b = y intercept
y = -2x + 1
Which of the following expressions has the greatest value?
Answers
Answer:
[tex](0.1)^2[/tex]
Step-by-step explanation:
The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.
Hey there!
Option A.
0.01^4
= 0.01 * 0.01 * 0.01 * 0.01
= 0.0001 * 0.0001
= 0
Option B.
0.1^4
= 0.1 * 0.1 * 0.1 * 0.1
= 0.01 * 0.01
= 0.0001
Option C.
0.01^3
= 0.01 * 0.01 * 0.01
= 0.001 * 0.01
= 0.00001
Option D.
0.1^2
= 0.1 * 0.1
= 0.01
“ 0.01 > 0.0001 > 0.00001 > 0”
Therefore, your answer should be: 0.1^2 (option D)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Determine whether the ordered pair (6, 5) is a solution to the equation –2x +y = –7.
Yes, (6, 5) is a solution.
No, (6, 5) is not a solution.
Answers
Answer:
Yes, (6, 5) is a solution.
Step-by-step explanation:
We can answer this by using the ordered pair point (6,5) in the equation to see if it works:
–2x +y = –7
–2(6) +(5) = –7 ????
-12 + 5 = -7 ???
-7 = -7 YES
10% out of 100 in simplest form
Answers
10
Step-by-step explanation:
100 ÷ 10 = 10
can yall help me out
Answers
Answer:
0.8
Step-by-step explanation:
Answer:
-4/5
Step-by-step explanation:
[tex]\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}[/tex]
{4z=8}
{3x-2z=11}
{x-4y+z=11}
Answers
Step-by-step explanation:
4z = 8
z = 8/4
z = 2
3x - 2z = 11
3x - 2.2 = 11
3x - 4 = 11
3x = 11 + 4
3x = 15
x = 15/3
x = 5
x - 4y + z = 11
5 - 4y + 2 = 11
-4y = 11 - 5 - 2
-4y = 4
y = 4/-4
y = -1
Solution → {x,y,z} = {5,-1,2}
HI GUYS COULD SOMEONE PLEASE HELP ME???
I REALLY NEED HELP ILLL GIVE BRAINLIEST
I JUST REALLY NEED TO FINISH
Answers
Answer:
57.43
Step-by-step explanation:
I hope this.helps
Help help help help help help
Answers
We can find out if the angles are the same by adding them
180 = 6x + 4x + 10 + 10x + 70
180 = 20x + 80
100 = 20x
x = 5
6x = 30
4x + 10 = 30
10x + 70 = 120
From this information, we can conclude that this is an obtuse triangle (iv.) and that this is and isosceles (ii.).
The answer is ii. and iv. which is B
__% of 15 is 6 hellp mee
Answers
Answer:
40%
Step-by-step explanation:
6 divided by 15 times 100 = 40
Answer:
40
(40%)
Step-by-step explanation:
6 / 15 = 0.4
0.4 * 100 = 40%
We can check this by doing 40% times 15;
15 * 0.4 = 6 ✓
It checks :D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
7-2y>3y+13 y = -1 true or false
Answers
Answer:
false: 9>10
Step-by-step explanation:
Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer.
Answers
[tex]x = 1[/tex]
hope it helps
For this case we have the following expression:
(5⁰) = 1
By definition of power properties we have to:
(an)m = ɑn*n
Then, rewriting the expression:
5º = 1
Thus, the variable "x" can take any value:
Answer:
The variable "x" can take any value
can anyone please help me with this I am stuck on this
Answers
Answer: 7.2
Step-by-step explanation: u times 0.9 by 15, then separately u times 2.1 by 3. then u take both numbers and subtract.
Answer:
Step-by-step explanation:
0.9d - 2.1f = 0.9*15 - 2.1*3
= 13.5 - 6.3
= 7.2
Whats this, smallest to largest?
0.1
0.11
0.01
0.101
Answers
Answer:
0.01, 0.1, 0.101, 0.11
Step-by-step explanation:
Can someone help me find the angles of R, S, and U? ive already solved the other ones
Answers
70 + x + x=180
70 + 110=180
110 can be broken down into 55, which we can use for the other two sides.
I’m gonna assume angle R is 55°.
For angle S, same thing. 62 + x=180
The value for it is 118, half it and you get 59°.
Last but not least, angle u. Angle u is diff bc it’s complimentary. We know that one side equals 59°, so subtract 59 from 90, and the value of angle U is 31°.
Hope this helps! It’s been a while since I was in geometry so I hope I’m right too aha
If x = −3, which number line shows the value of |x|? (5 points)
Question 11 options:
1)
2)
3)
4)
