x>3 is the answer
Step-by-step explanation:
[tex]3( x− 3) − 5x >− 3x − 6 \\ 3x - 9 - 5x > - 3x - 6 \\ 3x - 9 - 5x + 5x > - 3x - 6 + 5x \\ 3x - 9 > 2x - 6 \\ 3x - 9 - 2x > 2x - 6 - 2x \\ x - 9 > - 6 \\ x - 9 + 9> - 6 + 9 \\ x > 3[/tex]
Given y = f(u) and u=g(x), find =f(g(x))g'(x) for the following functions.
dx
y = cos u, u = 4x - 3
dy
dx = f'(g(x))g'(x) = 0
Answer:
-4sin(4x-3)
Step-by-step explanation:
Given y = cos u, u = 4x - 3
dy/dx = dy/du * du/dx
dy/du = -sinu
du/dx = 4
dy/dx = -4sinu
since u = 4x - 3
dy/dx = -4sin(4x-3)
Graph the solution of the inequality 3/7(35x-14)<_ 21x/2+3
Answer:
You'll have a closed circle at x = 2, and shading to the left
See the diagram below
=========================================================
Explanation:
The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.
If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.
14*(3/7) = (14*3)/7 = 42/7 = 814*(21/2) = (14*21)/2 = 294/2 = 147So if we multiplied both sides by 14, then we have these steps
[tex]\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\[/tex]
--------------------------
Let's isolate x
[tex]6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\[/tex]
The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.
So either x = 2 or x < 2.
If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).
See the diagram below.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x ≈ 8.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{OQ}[/tex] = [tex]\frac{3}{x}[/tex] ( multiply both sides by x )
x × sin20° = 3 ( divide both sides by sin20° )
x = [tex]\frac{3}{sin20}[/tex] ≈ 8.8 ( to the nearest tenth )
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
31.80°
Step-by-step explanation:
In ∆ ABC :-
sin x = BC / AC sin x = 39/74 x = sin -¹ ( 39/74) x = 31.80 °What is the Measure of arc XY?
Answer:
Arc XY = 180- 43
= 137º
answer is C
Step-by-step explanation:
In In 5x + In In (x - 1) = 2
Answer:
exact form: x=-1/2
decimal form: x=-0.5
a set of data contains four values. the mode is 5, the range is 3 and the median is 5. the smallest value in the data set is 4. write the numbers in the data set.
Answer:
4,5,5,7
Step-by-step explanation:
The answer is 4,5,5,7
Which ordered pair describes the location of the point shown on the coordinate system below? A.(-2,-1) B.(-1,-2) C.(-1,2) D.(-2,1)
Given:
A point on a graph.
To find:
The location of the point.
Solution:
From the given graph it is clear that the point lies in the third quadrant, it means both coordinates are negative.
The distance between point and y-axis = 1
The distance between point and x-axis = 2
It means, the x-coordinate is -1 and the y-coordinate is -2. So, the location of the given point is (-1,-2).
Therefore, the correct option is B.
2 Select the correct answer. Which expression has a value closest to 1? (Use 3.14 as the value of 1.) OA 7 V10 B. V75-174 Oc. V37-26 3/5 - 20 V2 D.
Answer:
It should be option c, [tex]\sqrt 37 - \sqrt26\\\\[/tex]
Step-by-step explanation: i hope this helps
HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS
2/3 ÷ 8/9 step by step explanation...
Answer: 3/4 is the answer.
Step-by-step explanation:
(2/3)/(8/9)
(doing reciprocal)
2/3 * 9/8
= 18/24
= 6/8
= 3/4
Answer:
3/4
Step-by-step explanation:
2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4
Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?
Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I've found that the equation is:
6x + 7 = 3x - 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let's solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x - 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x - 3x = -5 - 7
solving these, we get:
(6 - 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only
.
Serenity has a points card for a movie theater.
She receives 80 rewards points just for signing up.
She earns 11.5 points for each visit to the movie theater.
She needs 195 points for a free movie ticket.
.
.
Write and solve an equation which can be used to determine v, the number of visits
Serenity must make to earn a free movie ticket.
Which numbers are the means of the proportion shown
[tex]\bold{{Answer}}[/tex]
B.2.And30
What is the means of a proportion?
1 : harmonious relation of parts to each other or to the whole : balance, symmetry. 2a : proper or equal share each did her proportion of the work. b : quota, percentage. 3 : the relation of one part to another or to the whole with respect to magnitude, quantity, or degree : ratio.
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
please correct me if im wrong
Answer:
D
Step-by-step explanation:
Given the proportion
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex]
Then a and d are the extremes of the proportion
and b, c are the means of the proportion
Then for
[tex]\frac{2}{3}[/tex] = [tex]\frac{20}{30}[/tex]
3 and 20 are the means → D
If given that the points on a line are L (8,4) and M (10. 14) and R is its midpoint on this, where is R on that line?
Answer:
Step-by-step explanation:
The Midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where all of those x's and y's come from the coordinates of points L and M. Filling in:
[tex]M=(\frac{8+10}{2},\frac{4+14}{2}) =(\frac{18}{2}, \frac{18}{2})=(9,9)[/tex]
please help asap! ----------------------------
Answer:
[tex]f^{-1}(f(58))=58[/tex]
[tex]f(f(5))=11[/tex]
Step-by-step explanation:
We are given that the table which shows some inputs and outputs of the invertible function f with domain all real numbers.
We are given that
x f(x)
5 9
3 -2
1 -5
18 -1
0 1
9 11
We have to find
[tex]f^{-1}(f(58))[/tex] [tex]f(f(5))[/tex]
We know that
[tex]f^{-1}(f(x))=x[/tex]
Using the property
[tex]f^{-1}(f(58))=58[/tex]
[tex]f(5)=9[/tex]
[tex]f(f(5))=f(9)[/tex]
[tex]f(f(5))=11[/tex]
PLESE ANSWE ASAPPPPP
Answer:
Number of terms: 2
Degree: 1
Step-by-step explanation:
✔️A term can either be a coefficient with a variable, a variable, or a constant.
In the polynomial given, 10y + 2, there are two terms:
First term is a coefficient with a variable = 10y
Second term is a constant = 2
The two terms are: 10y and 2
✔️Degree of a polynomial is the highest exponents possessed by any of its term.
10y has an exponent of 1.
The degree of the polynomial therefore will be 1
Find the lenght of x
Answer:Answer in on Attached photo.
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✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
The price of a laptop was first increased by 10% and then the new price was decreased by 20%. The final price was what percent of the initial price.
Answer:
88%
Step-by-step explanation:
to initial price (100%) was increased by 10% (resulting in 110% of the initial price).
then these 110% were decreased by 20%.
so, the final price is actually 80% of 110% of the initial price
20/100 = 1/5
80/100 = 4/5
so, the customer pays only 4/5 of the 110% price.
110 × 4/5 = 22 × 4 = 88%
so, the final price was 88% of the initial price
identify the maximum and minimum values of the function y=10cosx in the interval [-2pie, 2pie]. Use your understanding of transformations, not your graphing calculator.
Answer:
3 x + 2 y + z/ x + y + z , x = 2 , y = 3 , z = 1
tan ( x ) , x = − π
cot ( 3 x ) , x = 2 π /3
Step-by-step explanation:
Get to has $12 to out gas in his car if gas costs 3.75 per gallon which ordered pair relating number of gallons of gas x to the total cost of gas
Step-by-step explanation:
12/3.75 = 3.2 a gallon
From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building?
Answer:
188 m
Step-by-step explanation:
[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]
Answer:
I think that the other answer is WRONG
tan(12) = [tex]\frac{x}{40}[/tex]
x = tan(12)*40 = 8.5
Step-by-step explanation:
[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5
What number is increased by 40% become 28?
a.5 b. 10 c. 15 d. 20
Answer:
d. 20
Step-by-step explanation:
28 ÷ (100%+40%)
= 28 ÷ 140%
= 28 ÷ 1.4 = 20
Answer:
option d
Step-by-step explanation:
Let the number be x
40% of x = 0.40x
Increased by 40% = 28
That is ,
x + 0.40x = 28
1.40x = 28
[tex]x = \frac{28}{1.40}\\[/tex]
[tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]
Therefore, the number is 20
exterior angle equation is 3p-15 interior angles are p and p+15
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer is x=50.1
Step 1
Tanx=opposite/adjacent
Step2
Tanx=6.1/5.1
x=arctan(6.1/5.1)
x=50.1
Answer in degrees as required
A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter
Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.
Answer:
both are equal is 0
Step-by-step explanation:
After substituting, the answer is 0 to both
Question 1 Tell whether this table represent a proportional relationship. Give the constant proportionality.
O yes, k= 2/9
yes, k= 9
O not proportional
Answer:
yes , k = 9
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportion
To find k divide both sides by x
[tex]\frac{y}{x}[/tex] = k
Check each ordered pair in the table
k = [tex]\frac{18}{2}[/tex] = 9
k = [tex]\frac{45}{5}[/tex] = 9
k = [tex]\frac{63}{7}[/tex] = 9
Thus the relationship is proportional with k = 9
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
x = 50.6
Step-by-step explanation:
How do I answer number 1
Answer:
Haley simplified correctly
Step-by-step explanation:
According to indices rule, if we have the same base and we are to multiply two numbers raised to exponent, we are to add the powers on the bases
So, it is expected that;
x^3 * x^2 = x*(3 + 2) = x^5
However, x^3 + x^2 stays the same (but of course can only be factorised)
So we can conclude that only Haley’s answer is correct