I am not sure of it but I think the expression will be like this : log (26 • 35)
Solution:[tex] log(26 \times 35) \\by \: \: \: using \: \: \: the \: \: \: following \: \: \: rule \: \: \: of \: \: \: logarithm \\ log(x \times y) = log(x) + log(y) \: \: \: we \: \: \: have \\ log(26) + log(35) [/tex]
Answer:C. log (26) + log (35)
Hope it helps.
Do comment if you have any query.
Answer:
C. log (26) + log (35)
Step-by-step explanation:
Given expression:
[tex]\log(26 \cdot 35)[/tex]
To find which of the given answer options is equivalent to the given expression, apply log laws:
Option A
[tex]\textsf{Using the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log 26 - \log 35=\log\left(\dfrac{26}{35}\right)[/tex]
Option B
[tex]\textsf{Using the Power log law}: \quad n\log_ax=\log_ax^n[/tex]
[tex]\implies 26 \cdot \log(35)=\log(35)^{26}[/tex]
Option C
[tex]\textsf{Using the Product log law}: \quad \log_ax + \log_ay=\log_axy[/tex]
[tex]\implies \log 26+\log 35 =\log(26 \cdot 35)[/tex]
Option D
No change:
[tex]\implies \log26 \cdot \log 35=\log26 \cdot \log 35[/tex]
Therefore, the expression that is equivalent to log (26 · 35) is option C.
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ryan rode his bike 5/6 of a mile. James role his bike 7/8 of a mile. Who rode father?
Answer:
James rode further.
Step-by-step explanation:
find the L.C.M
ryan to james - 20/24 < 21/24
Find the nth term of this number sequence
15, 12, 9, 6, ...
Answer:
18-3n
Step-by-step explanation:
The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
15, 12, 9, 6..
Now, We can find the nth term as;
First term (a) = 15
Common difference (d) = 12 - 15 = - 3
We know that;
The nth term of the arithmetic sequence is,
⇒ a(n) = a + (n - 1) d
Hence, We get;
The nth term of this number sequence is,
⇒ a(n) = a + (n - 1) d
⇒ a(n) = 15 + (n - 1) (- 3)
⇒ a(n) = 15 - 3 (n - 1)
Thus, The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
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The first term of an Arithmetic progression is 3and the last term is 9, find the number of terms in the progression if the common difference is 3/2
Answer:
n = 5 terms
Step-by-step explanation:
An = a1 + (n-1)d
9 = 3 + (n-1) 3/2
9 = 3 + 3/2n - 3/2
9 = 3/2 + 3/2n
9 - 3/2 = 3/2n
(15/2) / (3/2) = n
30/6 = n
9+7 - |3 - 9| the 9+7 has a square root symbol over top of it
√(9+7) - |9+7| = √16 - 16 = 4 - 16 = -12
Which one doesn’t belong?
A. 1 ticket for $1.80
B. $9 buys 5 tickets
C. 9 tickets for $15
D. 10 prizes for $18
Explanation:
Charise's expenses for the month of July are outlined below.
Car insurance: $120.54
Cell phone bill: $55.99
Groceries: $65.00
Her monthly income is $1,050.00. What percentage of her income are expenses?
A.
15%
B.
17%
C.
23%
D.
25%
Answer:
b
Step-by-step explanation:
you add all of the expenses and then yeah
What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
When a system ofnliner equations has x-terms that are opposites how is x eliminated?
Answer:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
This is slopes— what is ( -11, -2 ) ( -15 , -18 ) ?
Answer:
m = 4
Step-by-step explanation:
The slope of two given points are:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points of (-11, -2) & (-15, -18).
[tex]m = \frac{-18+2}{-15+11} = \frac{-16}{-4}=\boxed{4}[/tex]
The slope of the line is 4.
Hope this helps.
Is the point (2,-3) a solution to
the inequality? Show work to
justify your answer.
3x + 4y >-24
Answer: Yes
Step-by-step explanation:
Given f(x)=-x-4f(x)=−x−4, find f(4)f(4).
Answer:
1/4 or .25
Explanation
As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.
-0.25-16*.25=-0.25-4
-0.25-4=-0.25-4
-4.25=-4.25
For the function f(x) = -x-4 the value of f(4) is -8.
The given function is f(x) = -x-4.
We need to find the value of f(4).
To find this we have to replace the x value with 4.
Substitute x=4 in the function:
f(4)=-4-4
f(4)=-8
Hence, the value of f(4) is -8.
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Write an equation in slope-intercept form from the following points:
(-4,6) and (0,7)
Answer:
y = 1/4 * x + 7
Step-by-step explanation:
We start with the equation for slope-intercept y = mx + b -
Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.
We first find the slope by using this equation (y2 - y1) / (x2 - x1) -
(7 - 6) / (0 - (-4))
1 / (0 + 4)
Slope = 1/4
Now we insert the slope into the equation -
y = 1/4 * x + b
As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -
(The equation already tells you the y-intercept (0, 7) but for checking, we will insert the point in too)
7 = 1/4 * 0 + b
7 = b
b = 7
The y-intercept of the line is (0, 7)
We insert the y-intercept in the equation -
y = 1/4 * x + 7
y = 1/4 * x + b is our answer to the problem.
21) True or false: If x) is a linear function with a graph that extends through points at
(-2, 4), (0, 0), and (2. - 4), then it has a relative maximum when x = 4.
Answer:
true
Step-by-step explanation:
got it right
How do I do this question?
Hope this helps !!
Sorry for my bad handwriting!^_^
Identify the domain and range, then tell if the relation is a function
Answer:
D: (-3, 0, 2, 9)
R: (4, 6, 7)
This relationship is a function as there are no two input that have the same output.
Step-by-step explanation:
This relationship is a function as there are no two input that have the same output.
The range is the second output (y-value) which is (4, 6, 7).
The domain is the first element (x-value) of a relation or function which is (-3, 0, 2, 9)
Hope this helps!
3 7 2 4 7 5 7 1 8 8
what is the median
Answer:
6
Step-by-step explanation:
you can find the mean by adding up all of the numbers, and then dividing that total by the amount of numbers in the sequence.
answer urgently how do i do it
Answer:
x,2 y,4
Step-by-step explanation:
is this what your looking for?
what are rates and unit rates give me examples of rates and unit rates
Answer:
Step-by-step explanation:
The unit rate is the rate of the denominator of one unit. Unit rates are very common in our daily lives. For example, when we say we are traveling at 68 miles per hour, we mean we are traveling 68 miles in one hour. We'll write this rate as 68 miles/hour
If you have $10.25 in quarters, how many quarters do you have?
Answer:
you have 41 quarters
Step-by-step explanation:
.....
Express 2x2 + 16x +11 in the form a (x + b)2 + c, where a, b and c are
numbers.
What are the values of a, b and c?
Step-by-step explanation:
I assume the original expression is
2x² + 16x + 11
we need to get this into the form of a(x + b)² + c
let's do the generic multiplication and compare the result to the given expression :
a(x² + 2bx + b²) + c = ax² + 2abx + ab² + c
when we compare this with the original equation, we only need to look at terms with the same variable exponents.
2x² is the only term with "x²".
and ax² is the only term with "x²" in the generic form.
so ?
2x² = ax²
=>
a = 2
16x is the only term with "x" (exponent 1).
2abx is the only term with "x" in the generic form.
16x = 2abx
8x = abx = 2bx
4x = bx
=>
b = 4
11 is the only pure number (constant).
ab² + c is the only constant term in the genetic form.
11 = ab² + c = 2×4² + c = 2×16 + c = 32 + c
-21 = c
so, the solution is
2(x + 4)² - 21
1.what is the y-intercept f (x) = 3x+8/x-4?
a.-2
b.0
c.2
d.4
2.the horizontal asymptote of f (x) = 2x+5/x^2-3x+2?
a. y = -1
b. y = 0
c. y = 1
d. y = 2
3. what is the x - intercept of f (x) = 2x+6/x-1?
a.-5
b.-3
c.-1
d.0
4.what is the vertical asymptote of f (x) = x^2+5x+6/x-5?
a.x = -6
b.x = 0
c.x = 5
d.x = 6
5. what is the zero of f (x) = x^2-25/x+5?
a.-5
b.0
c.5
d.25
6.the oblique asymptote of f (x) = x^2=3x-5/x+2?
a.y = x + 1
b.y = x + 2
c.y = x + 3
d.y = x + 5
The Eubanks Answer:
Step-by-step explanation:hehus
hhheeelllppp please i need to simplify
Meera is choosing 2 books from the library. She is choosing from a selection of Science fiction, Biography and thriller. She can choose more than one of the same type. Write down all the combinations of two books that she could take
Step-by-step explanation:
She could take two science fiction, two biography, two thriller, one thriller and one science fiction, one thriller and one biography, one science fiction, and one biography
Answer: 3
Step-by-step explanation:
Science Fiction: SF
Biography: BI
Thriller: TH
SF:BI, TH
BI:TH
Which expressions are equivalent to a b/c
Answers:
[tex]\sqrt[c]{a^b}[/tex]
[tex](\sqrt[c]{a})^b[/tex]
Answer:
first 1 last 1 third 1 and forth 1
Step-by-step explanation:
Elise says, "If you subtract 17 from my number and multiply the difference by -3, the result is -61."
What is Elise's number?
Answer:
Elise's number is 112/3.
Step-by-step explanation:
You can form the equation: [tex]\left(x-17\right)\cdot -3=-61[/tex]
Solution: [tex]\frac{\left(x-17\right)\left(-3\right)}{-3}=\frac{-61}{-3}[/tex]
[tex]x-17=\frac{61}{3}[/tex]
[tex]x-17+17=\frac{61}{3}+17[/tex]
x=112/3
HELP ASAP 10 POINTS
The total cost of renting a HEDGE TRIMMER is given by the graph below.
The total cost of renting a LAWN MOWER is given by the equation y = 25x + 10.
Which item has a higher rate per day to rent? The hedge trimmer or the lawn mower? Explain how you can tell.
Using the slope value of the functions, the rate per day of hedge trimmer is greater than that of Lawn mower.
The cost function for renting hedge trimmer and Lawn mower :
Hedge trimmer :
y = 30x + 20Lawn Mower :
y = 25x + 10The rate per day is given by the slope value of the function.
Slope of hedge trimmer = rate per day = 30Slope of lawn mower = rate per day = 25Hence, the rate per day of hedge trimmer is greater than that of lawn mower.
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I need help finding the rule.
Answer:
y=3x+1
Step-by-step explanation:
The question is asking for an equation in slope-intercept form. This is y=mx+b, where m is slope and b is y-intercept. The slope is the change is y over the change in x. The y value changes 3 and the x value changes 1. So, the slope is 3/1 or just 3. The y-intercept is the value where the line intersects with the y-axis. Additionally, the y-intercept will have an x-value of 0. On the table, you can see that y=1 when x=0. Thus, the y-intercept is 1. Put the two values into the equation and you get y=3x+1.
May I please receive help?
Pleaseeeee
Answer: 37.3 m
Correct me if I'm wrong
The 1st one was doable, but I don't understand the 2nd Question.
Answer: ? What are you talking about?
Step-by-step explanation:
TV and WY areparallellines. S T U V W X Y Z Which angles are corresponding angles?
Answer:
A picture provided would be better, but here's a picture to help you find an answer to your question.
Step-by-step explanation:
The two angles marked in red are corresponding angles on a pair of parallel lines. Corresponding angles are ALWAYS congruent to each other.
