Answer:
[tex]-15x^2-21x-11[/tex]
Step-by-step explanation:
We need to find the value of [tex](4x^2 -6x +7)+(-19x^2 -15x -18)[/tex].
We can find it as follows :
[tex](4x^2 -6x +7)+(-19x^2 -15x -18)=4x^2 -6x +7-19x^2-15x-18\\\\=4x^2-19x^2-6x-15x+7-18\\\\=-15x^2-21x-11[/tex]
So, the value of the given expression is equal to [tex]-15x^2-21x-11[/tex].
Please help me solve and explain these two questions:
1. Find f'(x) for f(x) = ln(x^2 + e^(3x))
2. Find dy/dx by implicit differentiation for ysin(x) = xsin(y)
Answer:
go by basics u will get it easier
Step-by-step explanation:
assume X2 + e3x as some function t
now find derivative you get (1/t )dt/dx
now find dt /dx. simply derivative with respect to x
for second question use formula
dy/dx = - partial derivative of function with x / partial derivative of function with respect to y
find the maximum and minimum values of the function y=1/2 sin2x
Answer:
Maximum value equals 1/2
Minimum value equals -1/2
Step-by-step explanation:
The Sin Function when Graphed Shows a Range of [-1 , 1]
apply that on y=1/2 sin2x
y = 1/2 * 1 = 1
y = 1/2 * -1 = -1
so y = 1/2 , -1/2 .
Another Method using 1st derivativedy/dx = 2 * 1/2 * cos2x
put dy/dx=0
cos2x=0
x= 45, x=135
Apply x values on y=1/2 sin2x
y = 1/2 , -1/2 .
Hope you understand it ^^.
Answer: A
Step-by-step explanation:
What is the value of the expression 4 × (2a − 1) if a = 3?
A16
B20
C23
D25
Add: (3x + 9) + (2x + 20)
Answer:
5x+29
Step-by-step explanation:
Answer:
the answerbis 5x+29 I think but I am not sure
COMPLETE THE TABLE!!!!!!!!!!!
Answer:
4, 5, 6, 7
Step-by-step explanation:
solucion plis 4x- 2x > -8 -6
The answer is,
[tex]x > - 7[/tex]
hope it helps.
Answer:
x>-7
Step-by-step explanation:
4x-2x>-8-6
-2x>-14
x>-7
- 6 + \sqrt{9 - 8a} = 1−6+
9−8a
=1
Answer:
[tex]a = -5[/tex]
Step-by-step explanation:
Given
[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]
Required
Solve for a
[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]
Add 6 to both sides
[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]
[tex]\sqrt{9 - 8a} = 7[/tex]
Square both sides
[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]
[tex]9 - 8a = 49[/tex]
Subtract 9 from both sides
[tex]9-9 - 8a = 49-9[/tex]
[tex]- 8a = 40[/tex]
Make a the subject
[tex]a = -\frac{40}{8}[/tex]
[tex]a = -5[/tex]
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her
hours reduced by 10%.
How much more will she be earning per hour at her new job?
Answer:
Step-by-step explanation:
current rate = $729/(45 hours) = $16.20/hour
increased salary = 1.10×$729 = $801.90
decreased hours = 0.90×45 = 40.5
increased rate = $801.90/(40.5 hours) = $19.80/hour
increase in rate = $19.80/hour - $16.20/hour = $3.60/hour
Plz answer this question:
Answer:
90°
Step-by-step explanation:
5x+20=9x
20=9x-5x
20=4x
x=5
5x+20+9x=
5(5)+20+9(5)=
25+20+45=
90
Darren makes $10 per hour. Next semester, he will be making
$14 per hour. What rate of increase does this represent?
4%es la tasa de aumento
if £1 = 0.864 Lt, work out the amount, to the nearest penny , that 1 Lt is worth
Answer:
[tex]1\ Lt = \pounds 1.157[/tex]
Step-by-step explanation:
Given
[tex]\pounds 1 = 0.864\ Lt[/tex]
Required
Determine the worth of 1 Lt
[tex]\pounds 1 = 0.864\ Lt[/tex]
Divide both sides by 0.864
[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]
[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]
[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]
[tex]1\ Lt = \pounds 1.157[/tex] -- approximated
A car salesperson earns a 20% commission for each car she sells. How much will she earn if she sells one car for $24,900 and another for $27,800?
A. $1,054
B. $2,900
C. $10,200
D.$10,540
Answer:
D. $10,540
Step-by-step explanation:
1. 20% of $24,900 is $4,980
2. 20% of $27,800 is $5,560
3. Add $4,980 to $5,560
4. Answer is $10,540 in commission
Find the slope of the line through each pair of points(-13,-18),(0.-17)
Find the slope of the line through each pair of points(-18,-9),(-17,-16)
Find the slope of the line through each pair of points(8,18),(-13,20)
Find the slope of the line through each pair of points(7,-10),(3,-10)
Find the slope of the line through each pair of points(-17,-15),(-17,10)
Find the slope of the line through each pair of points(-1,-13)(6,-12)
please help me thank you in advance!
Answer:
D) [tex](x-4.5 )^{2} =16.25[/tex]
Step-by-step explanation:
Explanation
Given that the equation
x² - 9 x +11 =7
[tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]
[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
By using (a-b)² = a²-2ab+b²
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]
[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]
[tex](x-4.5 )^{2} -16.25 =0[/tex]
Final answer:-
[tex](x-4.5 )^{2} =16.25[/tex]
triangle inequality proof
/a + b/ ≤ /a/ + /b/
Answer:
a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\
Step-by-step explanation:
Which expression is equivalent to 21d + 18
A) 21(d + 18)
B) 21( d + 6)
C) 3(7d + 6)
D) 3(7d + 18)
Answer:
it’s c
Step-by-step explanation:
i’m smart
A garden has an area of 24 square feet. The garden is 2 feet longer than
it is wide. What is the width of the garden?
w = 4.8 feet
w = 4 feet
W = 8 feet
w = 3 feet
Answer:
w = 4ft
Step-by-step explanation:
b × w = a
(w + 2)(w) = 24
Simplify.
w² + 2w = 24
Solve
w = 4
Double check.
4 × 6 = 24
good luck, i hope this helps :)
Swimming pool was 9 meters wide with an area of 90 square.What is the length of the pool?
Answer:
90/9 = 10, the length of the pool. This can be proven as 10 x 9 = 90²
Step-by-step explanation:
2, 6, 14, 39, 49, 5, 54, 47, 41, 55, 8, 47, 23, 6
What is the outliers?
Answer:
I think the outliers are 2, 5, 6, and 6. Not sure about 8 though
THERE ARE 7 CONSECUTIVE NUMBERS.
IF THE LARGEST NUMBER 15 99, WHAT
IS THE SUM OF ALL THE GIVEN NUMBENS.
Answer:
S₇ = 672
Step-by-step explanation:
If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller consecutive numbers:
Smallest number = 99-6 = 93
The sequence is 93, 94, 95, 96, 97, 98, 99.
Where:
a₁ = 93
an = 99
n = 7
Sum of the sequence:
Sn = n/2(a₁ + an)
S₇ = 7/2 (93 + 99)
S₇ = 7/2 (192)
S₇ = 7(96)
S₇ = 672
Which is the better deal?
$4.09 for 4 kg
$6.19 for 6 kg
Answer:
$4.09 for 4kg
Step-by-step explanation:
4.09/4 is less than 6.19/6
Answer:
4.09 for 4kg
it would be a better deal bc it will b 1.0225 for each and for 6 it would be 1.0316
Hope this helps
460 000 X 500 000
In Scientific notation
Answer:
2.3 x 10^11
Step-by-step explanation:
Help me I’ll mark brainlist!!Please help!
How many ninths are there in one whole?
I give u brainliest
9 this is because in this equation we need to work out how many ninths there are in one whole. Our model shows one whole square. To divide it into nine equal parts. Each of these equal parts is a ninth. We have three ninths on the top row. Another three ninths on the second rows makes six ninths altogether. And three more ninths on the but to row makes a total of nine ninths equal one whole. We drew a square and we divided it into nine equal parts. Nine ninths equals one whole.
Please help with this question asap
Answer:
36/5
Step-by-step explanation:
Did it in my head, hopefully its correct
please help me thank you
Answer:
8x - 7y = 56
Step-by-step explanation:
in order for lines to be parallel they need to have the same slope, the easiest way to determine if they have the same slope is to change the equations into y = mx + b form by solving for y and seeing where m=8/7
so 8x - 7y = 56
-7y = 56 - 8x
y = 56/-7 -8x/-7
y = -8 + 8/7 x
can someone help me ?
Answer:
What question are you referring to? a question references question 5 and 6 which aren't displayed.
The sales tax in Texas is 8.25% and an item costs $600. How much is the tax?
Answer:
49.5
Step-by-step explanation:
Please help I’ll give brainleist
PLEASE HELP ME SOLVE BOTH
30 POINTS!!!
Answer:
1) x = 4
2) a square root cannot be equal to a negative value
Step-by-step explanation:
1) add 1 to each side
2) square each side
(√2x + 1)² = 3²
2x + 1 = 9
2x = 8
x = 4
2) subtract 4 from each side
√2x + 1 ≠ -5