Answer:
x=2+√14
Step-by-step explanation:
log(x)+log(x−4)=1
log(x to the second power−4x)=1
Step 1: Solve Logarithm.
log(x2−4x)=1
10log(x2−4x)=101(Take exponent of both sides)
x2−4x=101
x2−4x=10
x2−4x−10=10−10(Subtract 10 from both sides)
x2−4x−10=0
For this equation: a=1, b=-4, c=-10
1x2+−4x+−10=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-4, c=-10)
x=
−(−4)±√(−4)2−4(1)(−10)
2(1)
x=
4±√56
2
x=2+√14 or x=2−√14
Check answers. (Plug them in to make sure they work.)
x=2+√14(Works in original equation)
x=2−√14(Doesn't work in original equation)
Answer:
x=2+√14
help please thank you
Help pls i will mark brainleastly thingy
Answer:
(11y-36 degrees)=63 degrees
Step-by-step explanation:
[tex] {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } [/tex]
Answer:
x = 0
Step-by-step explanation:
[tex]{2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\ \\ {2}^{x} - \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\ \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\ \\ {( {2}^{x} )}^{2} = {(\sqrt{ {6}^{x} })}^{2} \\ \\ {2}^{2x} = {6}^{x} \\ \\ {2}^{2x} = {(2 \times 3)}^{x} \\ \\ {2}^{2x} = {2 ^{x} \times 3}^{x} \\ \\ \frac{ {2}^{2x} }{ {2}^{x} } = 3^{x} \\ \\ {2}^{2x - x} = {3}^{x} \\ \\ {2}^{x} = {3}^{x} \\ \\ \frac{ {2}^{x} }{ {3}^{x} } = 1 \\ \\ \bigg( \frac{2}{3} \bigg)^{x} = 1 \\ \\ \implies \: x = 0 \\ \\ \because \: for \: x = 0 \\ \\ \bigg( \frac{2}{3} \bigg)^{0} = 1[/tex]
Some please help, select all the intervals where g is increasing
Answer:
[tex]( - inf, - 3.5) \\ ( - 1, 2.5)[/tex]
These are interval for increasing (doesnt include relative max-min)
Step-by-step explanation:
Increasing means when we input the value of x and we get the increase of y-value.
A bit hard to imagine? You can look at the graph instead. The name already says it all, Increasing Graph. The graph keeps rising and rising till the max and that is increasing.
The decreasing is when the graph decreases to minimum. The graph would face down for decreasing.
Since we only want the increasing. We look at the graph and tell which region does the graph face up and that is the increasing.
Answer:
=0
Step-by-step explanation:
Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years. Round your final answer to the nearest hundredth.
Answer: $13,846.02
Step-by-step explanation:
The car cost $29,750 when it was first bought.
It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.
To find the value of the car in the 6th year, you can use the compound interest formula:
= Value of car * ( 1 - rate) ^ no. of years
= 29,750 * ( 1 - 12%)⁶
= 13,816.021581824
= $13,846.02
last help please help read the instructions
Answer:
Step-by-step explanation:
1) elimination
2) elimination
3)add
4)subtract
5) Variable
6) add
7) eliminate
8) subtract
9) eliminate
10) adding
11) adding
12) 2
13)2
14) 0
15) (2 , 0)
16) (2 , 0)
17) solution
25h – 7 = 125h – 2h + 3
Answer:
h=−5/49
Step-by-step explanation:
write the simpliest form 12/15 in its simpliest form
Answer:
12/15 in simpliest form is 4/5
Step-by-step explanation:
12 / 3 = 4
15 / 3 = 5
Remember that to get or to make a fraction in simpliest forms you need to divide both numerator and denominator by the same number.
12/15 is equal to 4/5.
Hope this helps!!! ;)
Which is the correct simplified version of the expression 32x + 8 - 34x? *
66x + 8
-2x + 8
74X
6x
Answer:
-2x+8
32x+8-34x
32x-34x=-2x
-2x+8
What is the distance from (-5,4) to (3,-2) on a coordinate plane
Answer:
When you graph it looks like this:
find the value of x
x=
Answer:
The value of x is 3
Step-by-step explanation:
Here, we want to find the value of x
to do this, we apply the principle of similar triangles
That would work as follows;
4/x + 5 = 7/(2x + x + 5)
4/x + 5 = 7/3x + 5
4(3x + 5) = 7(x + 5)
12x + 20 = 7x + 35
12x - 7x = 35-20
5x = 15
x = 15/5
x = 3
Josh baked 13 dozen apple muffins and 25 dozen blueberry muffins.
About how many muffins did he make?
Answer:
38
Step-by-step explanation:
If you’re adding it’s 38
If you’re multiplying its 325
but I think you’re adding so it’s 38
Answer:
356
Step-by-step explanation:
13 x 12= 156
25 x 12= 300
300+156= 356
So the answer is 356
Can anyone help me please :(
Answer:
I think it’s three recipes
Step-by-step explanation:
Looking at the graph the line intersects the box after three up on the y axis before it gets to another week... if that makes sense
23.1 + х = -6.2
Help please
Step-by-step explanation:
23.1+x=-6.2
x=-6.2-23.1
x= -29.3
hope it helped
Answer:
х= -29.3
Step-by-step explanation:
Subtract 23.1 from both sides then simplify
Which would be a good statistical question Alexandra could have used to create the tally chart?
Answer: D
Step-by-step explanation:
Sorry I’m late.
Remember:
A STATISTICAL QUESTION has variable answers.
Ex: How many toys are in the U.S?
A NON-STATISTICAL QUESTIONS have only one answer
Work out the percentage change to 2 decimal places when a price of £57.99 is decreased to £49.99.
Answer:
Percentage change in price = 13.80%
Step-by-step explanation:
Given that:
Original price = £57.99
Decreased price = £49.99
Difference = Original price - Decreased price
Difference = 57.99 - 49.99
Difference = £8.00
Percent change = [tex]\frac{Difference}{Original\ price}100[/tex]
Percent change = [tex]\frac{8.00}{57.99}*100[/tex]
Percent change in price = 13.80%
Hence,
Percentage change = 13.80%
what is the answer to -2(-4x-3)-5x+3=-3
Answer:
X= -4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
Distribute the -2 to the parentheses:
-2(-4x - 3) -5x + 3 = -3
8x + 6 - 5x + 3 = -3
Add like terms:
3x + 9 = -3
Solve for x:
3x = -12
x = -4
So, the answer is x = -4
Given f (x) = 1/5 (6 – x)^2 what is the value of f(16)?
Answer:
20
Step-by-step explanation:
if f(x)=1/5(6-x)^2 when f(16)you will replace x by 16 then solve it like this
f(16)=1/5(6-16)^2
= 1/5(-10)^2
=1/5(100)
=20
20 POINTS!!PLEASE HELP!!! At the school carnival, the sixth graders are making directional arrows, as shown
below.
6 inches 6 inches 4 inches 10 inches
Answer:
The area is 26
Step-by-step explanation:
plz give brainliest
At the grocery store, peaches cost $2.60 per pound. Grace bought 2.3 pounds of peaches.
Part A
Drag the partial products of 2.3 × 2.6 to the box.
0.3 × 2 = 0.6
0.6 × 0.2 = 0.12
2 × 0.6 = 1.2
0.3 × 0.6 = 0.18
0.6 × 3 = 1.8
2 × 2 = 4
Partial Product of 2.3 × 2.6
Part B
How much did Grace spend on peaches? Enter your answer in the box.
$
Britanny spent more than $42 at the mall. She bought a shirt for $14 and 4
sweaters that cost the same amount. Find the graph that shows the possible
cost, s of each sweater.
Answer: The answer is s = 14 * 5 = (70) So each swaeter is $3.50
Answer:
s>7
Step-by-step explanation:
she spent more than $42 total so
x>42
we factor in the 14 dollar shirt and 4 sweaters
14+4s>42
isolate x on one side
4s>28
s>7
here's the graph from desmos
At Memorial Hospital, 9 of the 12 babies
born on Tuesday were boys. In simplest
form, what fraction of the babies born on
Tuesday were boys?
how to solve this one
The x,y = -6, -5. Hope this helped, and have a great day! :D
What is the answer for these ?
Answer:
I really don’t know this I’m sorry
Step-by-step explanation:
find the range of data: 52,48,57,47,49,60,59,51
Find the range of data:5,9,13,6,4,5,8,12,12,6
Find the range of data: 97,106,99,97,115,95,108,100
find the range of data : 27,13,35,19,71,12,66,47,39
Please help me i need this done asap
Answer:
The range of #1 is 13
The range of #2 is 9
The range of #3 is 20
The range of #4 is 59
Step-by-step explanation:
I had a math teacher in 6th grade who taught me a corny, but helpful rhyme.
It is
Hey diddle-diddle
The median's the middle (organize the numbers from least to greatest, then find the number in the middle)
You add (all the numbers), then divide (by how many numbers there are) for the mean
The mode is the one that appears the most (which number do you see more than once?)
The range is the difference between (find the smallest number and the largest number, then subtract the small one from the large one)
See? Corny huh? I hope this helps bro!
The range of data: [tex]52,48,57,47,49,60,59,51[/tex] is [tex]13[/tex]
The range of data:[tex]5,9,13,6,4,5,8,12,12,6[/tex] is [tex]9[/tex]
The range of data:[tex]97,106,99,97,115,95,108,100[/tex] is [tex]20[/tex]
The range of data : [tex]27,13,35,19,71,12,66,47,39[/tex] is [tex]59[/tex]
What is range?
In statistics, the range of a set of data is the difference between the largest and smallest values. Difference here is specific, the range of a set of data is the result of subtracting the sample maximum and minimum.
According to question, we have to find different range.
The range of data: [tex]52,48,57,47,49,60,59,51[/tex]
[tex]=60-47=13[/tex]
The range of data:[tex]5,9,13,6,4,5,8,12,12,6[/tex]
[tex]=13-4=9[/tex]
The range of data: [tex]97,106,99,97,115,95,108,100[/tex]
[tex]=115-95=20[/tex]
The range of data : [tex]27,13,35,19,71,12,66,47,39[/tex]
[tex]=71-12=59[/tex]
Hence, we can conclude that
The range of data: [tex]52,48,57,47,49,60,59,51[/tex] is [tex]13[/tex]
The range of data:[tex]5,9,13,6,4,5,8,12,12,6[/tex] is [tex]9[/tex]
The range of data:[tex]97,106,99,97,115,95,108,100[/tex] is [tex]20[/tex]
The range of data : [tex]27,13,35,19,71,12,66,47,39[/tex] is [tex]59[/tex]
Learn more about range here:
https://brainly.com/question/12777994?referrer=searchResults
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PLEASE HELP!!! 30 POINTS AND I NEED IT URGENTLY! FAKE ANSWERS REPORTED
Answer:
I think d.<VUS=~<RST.IT SAYS if two triangle are conqruent the respective side will be equal.
Which of the following expressions has the greatest value?
25
52
33
710
find the zeroes of the function f(x)=2x-6
a pizza is advertised as containing 250 square inches of pizza. is it the area or circumference
Answer:
Area
Step-by-step explanation:
area is given in square units while circumference is just the length units like just inches
Solve the inequality 4y + 7< 16
Answer:
y = 28
Step-by-step explanation: