Answer:
(2, 10)
Step-by-step explanation:
slope is 12-5/4-(-3) = 7/7 or 1
find 'b': 12 = 4(1) + b
b = 8
equation of line: y = x + 8
when x = 2, y = 10
If log2 5 = a, log2 3 = b and log2 7 = c, determine an expression for log2 (25/21) in terms of a, b, and c
Answer:
[tex]2a - b -c[/tex]
Step-by-step explanation: We know that:
[tex]log_{2} 5 = a\\log_{2} 3 = b\\log_2 7 = c\\[/tex]
and we want:
[tex]log_2 \frac{25}{21}[/tex].
We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).
[tex]log_2 \frac{25}{21} = log_2 \frac{5^2}{3*7}.[/tex]
The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:
[tex]log_2 \frac{5^2}{3*7} = log_2(5)^2 - log_2 (3*7) = 2 log_2(5) - (log_2 3 + log_2 7)[/tex]
[tex]= 2 log_2(5) - log_2 3 - log_2 7[/tex] .
Substituting the variables:
[tex]2 log_2(5) - log_2 3 - log_2 7 = 2a - b - c[/tex]
Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
-9x² – 3x-2=0 please help !
Answer:-9 :)
Step-by-step explanation:
Helppppppppppppppp plssssssssssssss
Answer:
110º
Step-by-step explanation:
Because the angle starts at 10º, and ends at 120º, so if we moved the angle down to start at 0º we would have to subtract 10º, so we must subtract 10º from 120º. You end up with 110º.
Hope this helps! Have a great day!
F(x)=2x+1 then find f(k)
Answer:
f(k) = 2*k + 1
Step-by-step explanation:
The 'f' function takes the variable, doubles it, and then adds 1.
So f(k) = 2*k + 1
f(g) = 2*g + 1
f(m) = 2*m + 1, and so on
It doesn't really matter which variable you use, the function still does the same thing to it.
For the function f(x) = 7x1 + 10, find f-1(x).
15 points halp me plz
Answer:
C. f^-1(x) = (x/7 - 10)^4
Which statement about the properties of Function A and Function B are true?
Select each correct statement.
A The Y-intercept of Function A is equal to the Y-intercept of Function B.
B The Y-intercept of Function A is less than the Y-intercept of Function B.
The Y-intercept of Function A is greater than the Y-intercept of Function B.
D The rate of change of Function A is equal to the rate of change of Function B.
E The rate of change of Function A is less than the rate of change of Function B.
Answer:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
Step-by-step explanation:
Function A rate of change and y-intercept:
✔️Rate of change using two pairs of values from the given table, (1, 2) and (3, 10):
Rate of change = ∆y/∆x = (10 - 2) / (3 - 1) = 8/2 = 4
Rate of change (m) of Function A = 4
✔️ To find the y-intercept (b) of function A, substitute (x, y) = (1, 2) and m = 4 into y = mx + b (slope-intercept form):
2 = 4(1) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Y-intercept (b) of function A = -2
Function B rate of change (m) and y-intercept (b):
The function, y = 3x + 4 is given in the slope-intercept form, y = mx + b.
Therefore,
Rate of change/slope (m) = 3
Y-intercept (b) = 4
The following staments about the properties of both functions are therefore true:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
I am a four-sided shape I have four right angles and my sides are not all equal to each other what shape am I
Answer:
You are a Quadrilateral.
Step-by-step explanation:
The four sided shape that has four right angles and the whole sides are not equal to each other is a rectangle.
What is a rectangle?
A rectangle is a quadrilateral. This simply means it has four sides.
The sides of a rectangle are not equal.
Properties of a rectangleOpposite sides are equal.Opposite side are parallel.The angles are all right angles.The diagonal bisect each other.The sum of angles in a rectangle is 360 degrees.Therefore, the four sided shape that has four right angles and the whole sides are not equal to each other is a rectangle.
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please help asap !!!
Abby will receive a cash prize when she earns 300 bonus points at the videoshop. Abby receives 5 bonus points every time she rents a recent release videoat the video store, plus a 60-point bonus for becoming a member. The totalnumber of bonus points, B is given by B = 5n + 60, where n is the number ofvideos being rented. How many videos must Abby rent to receive her cashprize
I really need help pls someone question is linked
Answer:
The monthly fee is $25, plus the installation fee
Step-by-step explanation:
685 - 85 = 600
1 yr = 12 months
so 24 months
600 / 24 = 25
What is the value of x in the equation 2x - 3/5 = -1/10
Answer:
1/4
Step-by-step explanation:
you add 3/5 to the other side and find the lcm making it 6/10--1/10=5/10. Then 5/10 divided by 2 = 2.5/10 which you can simplify to 1/4.
Answer: x=1/4
Step-by-step explanation:
1. Isolate x: if you move -3/5 to the other side, your equation would become
=> 2x=-1/10+3/5
2. Find the common denominator: since you can't add -1/10 with 3/5 without simplifying, you're equation would change to this:
=> 2x=-1/10+6/10
3. Simplify:
=> 2x=5/10 => 2x=1/2
4. Divide:
=> 2x=1/2 => x=1/2*1/2 => x=1/4
Have a nice day! :D
Product of 6 and 6r and the product of 8s and 4
The product of the numbers are 36r and 32s.
What is product?When we multiply two numbers the resultant is called their product.
Given that, what can be the products of 6 and 6r and 8s and 4
a) 6 and 6r =
We can write it as =
6 x 6 x r
now multiply the numeric parts,
36 x r
= 36r
Similarly,
b) 8s and 4 =
We can write it as,
8 x s x 4
= 8 x 4 x s
now multiply the numeric parts,
= 32 x s
= 32s
Hence, the products are 36r and 32s.
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PLS PLS PLS PLS HELPPPP
Answer:
15.12
Step-by-step explanation:
8% of 14 = 1.12
14 + 1.12 = 15.12
57°
41
Use the Law of Sines to determine the length of
side c.
44°
B
29
49
34
21
Answer:
c = 29
Step-by-step explanation:
Law of sines is given as: [tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Substitute
[tex] \frac{41}{sin(79)} = \frac{c}{sin(44)} [/tex]
Multiply both sides by sin 44
[tex] \frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44) [/tex]
[tex] \frac{41*sin(44)}{sin(79)}*sin(44) = c [/tex]
c = 29.0140633 ≈ 29
Find x and please show your work
2.5x = 60
x = 60 / 2.5
x = 24
Answer:
I have made it in above picture
hope it helps
on Jerry's text message plan she pays 0.80 for every 20 message. what is cost per message?
Use the distributive property to remove the parentheses.
-2(-2x+4w-1)
HELP!!
My little cousin took a STAR math test and she wanted to know if her score is good she got a 923 score on her STAR math test and she is in 8th grade did she do good or? She was really curious and wanted me to answer this question lol
Find the value of x.
[p. 153]
A. x = 5
B. x = 10
C. x = 20
D. x = 40
Answer:
your answer will be C.x=20
Step-by-step explanation:
bye have a wonderful day/night ^_^
A poker game requires players to draw a card and roll a die. The combination of card and die will determine if a player wins. There are:
13 different types of cards: Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King
6 different numbers, one on each face of a die: 1,2,3,4,5,6
How many different combinations are there of one card and one die roll?
Answer:
78
Step-by-step explanation:
13*6=78
Answer:
that is not real, the game of poker does not need and does not use dice, they are only cards
explanation:
give me crown please ;-;
The weather report says that there is a 20% chance of rain. What is the likelihood that it will rain?
impossible
unlikely
equally likely
likely
certain
Please help meee ASAP
Answer:
The perimeter is 63 units (B).
Step-by-step explanation:
To find the perimeter, you must add up all the sides.
So...
13 + 9 + 8 + 5 + 4 + 13 + 5 + 6 = 63 units
The answer would then be B -> 63 units
Can someone help me with this question?
Answer:
One of the angles in the triangle might be 50.
AND
The length of the third side must be 11cm or smaller.
Step-by-step explanation:
-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.
-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)
-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)
-One of the angles in the triangle might be 50 (possibly, so very much true)
a woodworker wants to cut a board that is 8.225 ft long into 5 equal length pieces how long will each of the cupboards be?
Answer:
1.645 ft
Step-by-step explanation:
Divide 8.225 by 5.
8.225/5 = 1.645
Answer:
1.645
Step-by-step explanation:
Just divide 8.225 by 5 bc the equation is that the woodworker cuts a board that is 8.225 into 5 equal length pieces.
Circle each number below which is greater than its square.
(i) 1
(ii) 2/3
(iii) -3
(iv) −1/2
(v) 5
Answer:
2/3 and -3 are correct hope it helps
help please its due today
Answer:
3 1/3
gl
20 characters
Which statement about both quadrilaterals is true?
Answer:
the second statement: The corresponding angles of quadrilaterals ABCD and A'B'C'D' are congruent.
A city manager made a scatter plot of the number of retail stores in a certain city over the years. The scatter plot had a trend line with an equation of y = 11x + 12, where y is the total number of retail stores and x is the number of years since 1990. 12. When Darryl and his family moved o the city, there were 133 retail stores in the city. Use the equation to predict what year Darryl's family moved to the city.
Answer:
2001
Step-by-step explanation:
133 = 11x + 12
121 = 11x
x = 11
1990 + 11 years = 2001
Roxy knows that she can deduct the depreciation expense of her ice cream delivery truck from her taxes over the truck’s useful life of 8 years. She can depreciate 3,100 per year. If she paid $21,000 to buy the truck, what is its salvage value?
Answer:
4,300
Step-by-step explanation:
I don’t have an explanation just trust me it’s right
378934×95= what number
Answer:
35,998,730
Step-by-step explanation:
378934 × 95 = 35,998,730
A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
A participant plans to attend 3 sessions. Here is a list of all possible samples of size 3 sessions from this population of 5 sessions: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE. If sessions A, B, and C are selected, what is the sample minimum session cost?
$50
$66.67
$100
$200
When the list of all possible samples of size 3 sessions from this population of 5 sessions are given. The sample minimum session cost should be considered as the $200.
Calculation of the sample minimum session cost:Since
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
So here the minimum cost be
= $50 + $50 + $100
= $200
hence, The sample minimum session cost should be considered as the $200.
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