What are the steps to solving this limit?
Answer:
lim(x---->0) = -5
Step-by-step explanation:
first: sin(x-π/2)= -cosx
so the equation will be :
lim(x---->0) = [-6cos(ax)-1}/cosx
solve :
lim(x---->0) = [-(6cos(a(0))-1}/cos(0)
cos0=1
lim(x---->0)=(-(6(1)-1)/1
lim(x---->0)=-6+1/1
lim(x---->0)=-5
Which function below is the inverse of f(x)= 3x+5/7
Answer:
[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]
Step-by-step explanation:
Given the function:
[tex]f(x) = \frac{3x+5}{7}[/tex]
Put f(x) = y
[tex]y = \frac{3x+5}{7}[/tex]
Interchange x and y
[tex]x = \frac{3y+5}{7}[/tex]
Solve for y
[tex]x = \frac{3y+5}{7}[/tex]
Multiplying both sides by 7
[tex]7x = 3y+5[/tex]
Subtracting y to both sides
[tex]7x-5 = 3y[/tex]
Dividing both sides by 3
[tex]\frac{7x-5}{3} = y[/tex]
OR
[tex]y = \frac{7x-5}{3}[/tex]
Put y = [tex]f^{-1}(x)[/tex]
So,
[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]
Hope this helped!
~AnonymousHelper1807answer this equation-3x+2<8
Answer:
x > -2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8-2
-3x<6
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 6/-3
x > -2
Hey there!☺
[tex]Answer:\boxed{x>-2}[/tex]
[tex]Explanation:[/tex]
[tex]-3x+2<8[/tex]
Let's subtract 2 from both sides of the inequality.
[tex]-3x+2-2<8-2\\-3x<6[/tex]
Now divide both sides by -3.
[tex]\frac{-3x}{-3}<\frac{6}{-3}[/tex]
Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.
[tex]6/-3=-2[/tex]
[tex]x>-2[/tex]
Hope this helps!
In “The Raven and the First Men: The Beginnings of the Haida,” which evidence best helps the reader infer that the Haida might find it acceptable behavior to play tricks on one another?
Answer:
The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.
Step-by-step explanation:
The myth shows what they find valued or acceptable in their culture.
Least to greatest PLEASE IM STRUGGLING AS IS WITH THE COMPUTER
Answer
Least to Greatest order by options: 3, 2, 4, 1
Step-by-step explanation:
Option 3 is 1/2 therefor its 0.5
Option 2 is 4.4
Option 4 is 10
Option 1 is 13.14
And that's put in least to greatest order.
-3 - 3x = -4(2x + 7)
Answer : x=−5
Step-by-step explanation: Step 1: Simplify both sides of the equation.
−3−3x=−4(2x+7)
−3+−3x=(−4)(2x)+(−4)(7)(Distribute)
−3+−3x=−8x+−28
−3x−3=−8x−28
Step 2: Add 8x to both sides.
−3x−3+8x=−8x−28+8x
5x−3=−28
Step 3: Add 3 to both sides.
5x−3+3=−28+3
5x=−25
Step 4: Divide both sides by 5.
5x /5 = −25 /5
x=−5
Answer:
x=−5
During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total change in inches to the water level in a pool after 30 summer days
Answer:
Option B (second one to the right)
Step-by-step explanation:
Solving this equation:
-1/2(30)= -15
-1/2 x 30 = -15
(2 days = 1 inch lost)
How much will the taxi driver earn if he takes one passenger 4.8 miles and another passenger 7.3 miles? Explain your process.
Answer:
35.225 I believe
Step-by-step explanation:
You can always check on Slader.
Evaluate 2x + xy + 2-3 for x=-9, y=-5, and
z=-3.
Dan's brother is three less than twice his age. Which expression shows his brother's age?
An ice cream truck drive truck driver made $23 in one hour. She the spent $35 for gas. What is the difference?
Answer:
$12
Step-by-step explanation:
Step 1:
$35 - $23
Answer:
$12
Hope This Helps :)
Solve for x in simplest form. 9=8/5(x+5)
Answer:
5/8 =x
Step-by-step explanation:
9=8/5(x+5)
Multiply each side by 5
5* 9=5*8/5(x+5)
45 = 8(x+5)
Distribute
45 = 8x+40
Subtract 40 from each side
45-40 = 8x+40-40
5 = 8x
Divide each side by 8
5/8 = 8x/8
5/8 =x
What is the measure of AC? A. 5 units B. 13 units C. 26 units D. 39 units
Answer:
is 26 bc i had misclicked it on edge and got it right
The measure of AC is 26 units.
Hence, option (C) is correct.
What is quadrilateral?A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.
In the given quadrilateral,
Side AD = 8X - 1, CD = 6X + 9
And AB = 3x - 2
According to given diagram,
AD = CD
8x -1 = 6x + 9
2x = 9 + 1
2x = 10
x = 5
The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13
The figure ABCD is a symmetrical figure,
Therefore,
AB = BC
AB = BC = 13
The required side AC = AB + BC
= 13 + 13
= 26
The length of the side AC is 26 units.
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Which answer is the simplified version of this : 5 exponent 3 x 25
Answer:
3,125
Step-by-step explanation:
[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answer:
3 in
Step-by-step explanation:
Sum of all sides of ∆ = perimeter
Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:
[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]
Solve to find the value of x
[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]
[tex] \frac{3x + 2}{2} = 13 [/tex]
Multiply both sides by 2
[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]
[tex] 3x + 2 = 26 [/tex]
Subtract 2 from both sides
[tex] 3x + 2 - 2 = 26 - 2 [/tex]
[tex] 3x = 24 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{24}{3} [/tex]
[tex] x = 8 [/tex]
The shortest side = (x - 5) in
Plug in the value of x
= (8 - 5) in
= 3 in
Find the product of (x + 5)(x − 5).
Answer:
x² - 30 + 5x
Step-by-step explanation:
(x + 5)(x − 5)
=x(x − 5)+5(x − 5)
=x² - 5 + 5x - 25
=x² - 30 + 5x
what is the solution to the equation:
4/3 times 2/3
Answer: [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.
[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]
Now we know the answer is [tex]\frac{8}{9}[/tex].
Answer:
8/9
Step-by-step explanation:
The answer is 8/9 because:
1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator
2) Therefore, 4 x 2/ 3 x 3 = 8/9
Hope this helps! :D
A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water
Answer:
down 7 1/4 feet
Step-by-step explanation:
4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4
The dolphin is 7 1/4 feet below the surface.
Answer:
Step-by-step explanation:
Explain why 20 + (-12) + 12 is the same as 20 + 0??
Answer:
Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero
Step-by-step explanation:
please help me answer this i need asap
Answer:24 xexponet 3 − 5
Step-by-step explanation:
a) Another name for Plane P is:
Answer: “ACB”
Step-by-step explanation: I took the quiz/test
PLEASE HELP WILL GIVE BRAINLIEST -
A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?
The line segment congruent to line HF will be DF. The correct option is C.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
Therefore, the line segment congruent to line HF will be DF. The correct option is C.
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(1/4)^-3/2. The topic is indices.
Answer:
8
Step-by-step explanation:
The minus turns the base upside down
(1/4)^-3/2 = 4^(3/2)
The square root of 4 is 2
2^3 = 8
So the answer is 8.
What is the value of s in the equation 3r= 10+5s when r = 10
Answer:
s = 4
Step-by-step explanation:
Given: 3r = 10+5s
Fill in r: 3(10) = 10 + 5s
Multiply: 30=10+5s
Subtract: 30-10=5s
Divide: 20/5=s
Answer: 4=s
Find the midpoint of points A(8,6) and B(0, 3)
Answer:
Midpoint = (4,4.5) or written as fraction (4,[tex]\frac{9}{2}[/tex])
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{8+0}{2}),(\frac{6+3}{2} ) \\MP= (\frac{8}{2}),(\frac{9}{2} ) \\MP= (4,4.5)[/tex]
Please Help!! 10 points! Brainliest answer
Answer:
Its letter B
Step-by-step explanation:
A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?
–3
–2
2
3
Answer:
is 2
Step-by-step explanation:
Answer:
The correct answer is 2
Step-by-step explanation:
When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the plzza 8 of these slices would be in decimal form.
Answer:
the answer is 0.5, or about 50%
Step-by-step explanation:
If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.
Hope this helps
Answer: 0.5
Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza
Due tonight
Please help!!!!!
angle BGC and angle BAD
Polynomials: I’ll give brainliest. What is the perimeter of this?
2(5x - 4)
Step-by-step explanation:Perimeter formula
P = 2l + 2w
P = 2(3x - 5) + 2(2x + 1)
= 6x - 10 + 4x + 2
= 10x - 8
= 2(5x - 4)