Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
What is the slope of the equation Y= 5/4 x - 7/4?
a. -7
b. -7/4
c. 5/4
d. 5
Answer:
a
Step-by-step explanation:
Answer: c
Step-by-step explanation:
The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.
Answer:
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
The scores from Mrs. Rijo’s class are the closest to the class mean.
If the Diameter is 10 of a circle then what is the radius.
Answer:
5
Reasoning
[tex]Diameter=2*radius[/tex]
Answer:
5
Step-by-step explanation:
the radius is always half of the diameter
Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home
Step-by-step explanation:
4 + 3 = 7
petra robyn total
210 / 7 =30
wage total
ratio
30× 4 = $120
Petra's part
30× 3 = $90
Robyn’s part
help me please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.
Given the expression
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
In order to simplify, note that the numerator and denominator of the fraction
[tex]\frac{(2r^2t)^3}{4t^2}[/tex]
have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.
To clear the numerator's bracket, note that
[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]
that was long. The shorter way was to do the following
[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]
so back to the original question, to simplify
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
we would do
[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]
Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms
[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]
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The area of the pilgrims cornfield is 6,396 square feet. The width of the cornfield is 52 feed. What is the length of the cornfield? Show your work
Based on the area of the field and the width as well, the length is most likely 123 feet.
The area of the cornfield is calculated as:
= Length x Width
You have the width so you can substitute it in the equation to find the length:
6,396 = Length x 52
Solving would give:
Length = 6,396 / 52
= 123 feet
In conclusion, the length is 123 feet.
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Fully Factorise : 8x^2+6x
Answer:
2(4+3) or undefined
Step-by-step explanation:
lmk if this helped
HELP WOULD BE APPRECIATED
Answer:
For the second one would be 36°
Translate the following phrase into an inequality:
"A number n minus 3.5 is less than or equal to 4."
PLEASE HELP I HAVE 6 MATH MISSING ASSIGNMENTS, I HATE HIGH SCHOOL
Answer:
The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.
x - 3 ≥ - 5
Add 3 on both sides of the inequality.
x ≥ -2
x is any number greater than or equal to -2.
If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.
These terms are important to understand when working with inequalities.
The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The phrase is,
"A number n minus 3.5 is less than or equal to 4."
Now it can be written in inequality form as,
(n - 3.5) ≤ 4
Therefore, the inequality is,
(n - 3.5) ≤ 4
To learn more about inequality visit:
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what is the point slope equation of the line that passes through (9,-1) and has a slope of 5
Answer:
y=5x+46
Step-by-step explanation:
apply point
-1=5(9)+n
-1=45+n
n=-46
y=5x+46
Answer:
y + 1 = 5(x - 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 5 and (a, b ) = (9, - 1 ) , then
y - (- 1) = 5(x - 9) , that is
y + 1 = 5(x - 9)
How does simple
interest show proportional reasoning and
relate to the percent equation?
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Step-by-step explanation:
Evaluate.
-|4ab- cl for a = -6, b = 3, and c = 2
A -74
B -70
C 70
74
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\heartsuit\ \frak{Amphitrite1040:)\ }\heartsuit}[/tex]please help me out yall!!
Answer:
c
Step-by-step explanation:
whats the answer (10 points)
Answer:
x=79 degrees y=22degrees
Step-by-step explanation:
you see it has 2 equal sides, so the triangle is an isosceles triangle. If the triangle is isosceles, then its 2 base angles are equal, that is, x = 79 according to the triangle property, the 3 angles add up to 180 degrees, so you take 180 degrees minus 2 * 79 degrees you get a y angle equal to 22 degrees
PLEASE I NEED HELP!! Due TODAY!!!!! I need someone who is actually good at this!!
Answer:
#8= B
#6= C
#7= D
#9= C
#10= A
Step-by-step explanation:
[First one, aka #8] c
- subtract 7x from both sides
- divide by 5
- slope is m is y = mx + b
[Second one, aka #7] is d
- subtract 2x from both sides
- divide by 5
- find the negative reciprocal
[Third one, aka #6] is c
- will have a slope of 2 since it is parallel
- plug the point into y = 2x + b and solve for b
[Fourth one, aka #9] is a
- change in d over change in c
- 29 - 20 / 6 - 0 = 9/6 = 3/2
[Fifth one, aka #10] is b
- I created the system:
2h + m = 2.85
3h + 2m = 4.45
- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which of these reasons would John not need to use in his proof
rewrite the expression as a single fraction 3/8 + 1/8
Answer:
Step-by-step explanation:
3/8+ 1/8 = 4/8
10000+2000003
ghsrhrs
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
Shane is an a baseball team. He averages 6 hits in 30 times at bat. How many hits should you expect him to have after 180 times at bat
The price of a cinnamon roll is $2.00. The bakery has a sale, and all prices are 10% off. What is the sale price of the cinnamon roll
Answer: $1.80
Step-by-step explanation:
10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.
In the element above the mass number is_____ and the atomic number is _____
Blank 1?
Blank 2?
Mass number is 14
Atomic number is 6
help me please I don't wanna fail his
stteps for solving 6(4x-3) are shown
which of these is not a part of the solution prosess
Answer:2 4 − 1 8
Step-by-step explanation:
2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(
Answer:
.88 Euro
Step-by-step explanation:
One U.S. dollar is equivalent to .88 Euro. Have a nice day!
m divided 6 when m=48
[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]
How much money should Annika give Susan?
Answer:
it depends on how much Annika has and if she is willing to give Susan money
Step-by-step explanation:
I could have answered properly but i do not understand the question it just states that, look below
How much money should Annika give Susan?
plzzzz help me!!!
Plz don't steal my points or add a link
Answer: What do you mean? if you till me i can help you
Step-by-step explanation:
-14 + -8/9 is equivalent to?
Please help and no links
Answer:
B) y=3x
Step-by-step explanation:
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.
If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.
Do these pairs of values (x 3,4,6,9,and y 5,7,10,15) represent two quantities that are propertional? A. No, becuase not all of the pairs represent the same ratio. B.....
Answer: No.
Step-by-step explanation:
The (4,7) point has a ratio of 0.5714, different than all the others at 0.6.
3 5 0.6
4 7 0.571428571
6 10 0.6
9 15 0.6