Answer:
x = 2 ±sqrt( 97)
Step-by-step explanation:
log10(x^2 -4x+7) =2
Raise each side to the base 10
10 ^ log10(x^2 -4x+7) =10^2
x^2 -4x +7 = 100
Subtract 7 from each side
x^2 -4x+7-7 = 100-7
x^2 -4x = 93
Complete the square
-4/2 = -2 (-2)^2 = 4
Add 4 to each side
x^2 -4x+4 = 93+4
(x-2)^2 = 97
Take the square root of each side
sqrt((x-2)^2 )=±sqrt( 97)
x-2 = ±sqrt( 97)
Add 2 to each side
x = 2 ±sqrt( 97)
Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Answer:
5:36
Step-by-step explanation:
12 inches = 1 foot, so 6 feet = 72 inches
10:72, reduces to 5:36
1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?
Answer:
The expected value is -$126- you should not buy the warranty.
Step-by-step explanation:
You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.
E(x)= (2800-350)(.8)+(-350)(.92)= -126
Find a direct relationship
between y and x.
x= e2t and y= et
y = [?
Answer:
y=√x
Step-by-step explanation: here are the steps
An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposits or withdrawals are made?
Answer:
$2,382.03
Step-by-step explanation:
Interest = Principal x Rate x Time
Divide £520 in the ratio 6:7
The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.
Answer:
230.0 x 1000-200
Step-by-step explanation:
Since one grain of pepper is 2.3x10-2 100 would be 100 times that.
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
decide whether the function is a polynomial function if it is write the function in standard form
f(x)=1/2x²-3x^4-7
Answer:
yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7
Step-by-step explanation:
standard form is placing all terms in decreasing exponent order
Answer:
it is a polynomial because all of the exponents are non-negative
standard form f(x)=-3x^4+1/2^2-7
Step-by-step explanation:
Hope it helps
Have a nice day : )
HELP!!!
n – 3 = ‐1
Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!
Answer:
n = 2
Step 1: Add 3 to both sides to isolate x.
n – 3 = ‐1
Step 2: Solve
=> n = -1 + 3
Final Answer: Answer to the question.
=> n = 2
Therefore, n = 2 is our answer.
Hoped this helped.
What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.
Answer:
First number is -2.5
Second number 5
Step-by-step explanation:
Four times the first number minus three times the second number is 2.
To represent this statement, 4x -3y =2
Two times the first number increased by three times the second is 10.
To represent thsi statement, 2x+ 3y = 10
4x - 3y = 2
2x + 3y =10
4x - 2x = 2x
2x = -5
x= -2.5
The first number is -2.5
By using Substitution
2x + 3y = 10
2(-2.5) + 3y = 10
-5 + 3y = 10
3y = 10 +5
3y =15
y = 5
The second number is 5
....To check my answer
-5 + 15 = 10
nin
1) What is the equation of the line that passes through the point (-2,1) and has a slope of
-5/2?
Answer:
y=(-5/2)x-4
Step-by-step explanation:
Step 1: Define the equation of a line.
Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.
Step 2: Write the given parameters
(x1,y1)=(-2,1)
m=-5/2
Using the formula y-y1=m(x-x1)
y-1=-5/2(x-(-2))
y-1=-5/2(x+2)
y-1=(-5x-10)/2
By cross multiplication,
2(y-1)=-5x-10
2y-2=-5x-10
2y=-5x-10+2
2y=-5x-8
y=(-5x-8)/2
y=(-5/2)x-4
BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)
Evaluate 12x-3(3x-5)+24 when x = 2
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
MARK BRAINLIEST
CAN YOU HELP ME #6 please
Answer:
Step-by-step explanation:
f(x) = (3x+3)/(x-2)
Use a graphing program such as DESMOS. See attachment.
The asymptotes are:
The asymptotes are:
y = ± infinity as x reaches 2
x = ± infinity as y reaches 3
pls pls pls help!! will mark brainliest
quiz 3-1 parallel lines transversals and special angle pairs
The following statements are true:
Segment DEF is parallel to ABCThe line segment AB is parallel to DELine FC is parallel to ADthe line that is skewed to DE is BCThe given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABCCADF is parallel to CBEFFor the lines, the lines that are parallel to each other are:
AD is parallel to BEAB is parallel to DEFC is parallel to ADFor skew lines, they are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
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-8.5x +0.43 = -2.97
The solution is x =
Answer:
x=0.4
Step-by-step explanation:
ubtract
0.43
from both sides of the equation.
−
8.5
x
=
−
2.97
−
0.43
Subtract
0.43
from
−
2.97
.
−
8.5
x
=
−
3.4
Divide each term in
−
8.5
x
=
−
3.4
by
−
8.5
.
−
8.5
x
−
8.5
=
−
3.4
−
8.5
Divide
−
3.4
by
−
8.5
.
x
=
0.4
9.A construction company is building a roof on a house. The horizontal distance from the edge of the
roof to the peak is 25 ft. The vertical distance from the edge of the roof to the peak is 6.25 ft. Determine
the slope of the roof. Leave your answer in simplest form.
Answer:
Step-by-step explanation:
slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25
75% of the sum
of t&a and 7 3 6
-100
a
b
answer in the photo thank me later mate
a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items
Profits are simply the difference between the selling price and the cost price of an item.
The expression that represents the total profit is 3850x - 22100
The profit (p1) on the first item is given as:
[tex]p_1 = 2000x - 10500[/tex]
The profit (p2) on the second item is given as:
[tex]p_2 = 1850x - 11600[/tex]
So, the total profit (p) on the sales of both items is:
[tex]p = p_1 + p_2[/tex]
Substitute known values
[tex]p = 2000x - 10500 + 1850x - 11600[/tex]
Collect like terms
[tex]p = 2000x + 1850x- 10500 - 11600[/tex]
[tex]p = 3850x-22100[/tex]
Hence, the expression that represents the total profit is 3850x - 22100
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༒Question༒
refer to attachment
nonsense will get report
Answer:
REFER TO ATTACHEMENT
I HOPE IT IS HELPFULCan someone help with 1 11/15 divided by 1 4/9?
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!
Answer:
No Solution
Step-by-step explanation:
2x - 1 = 2x + 3 Combine the like terms.
0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?
the cost is decreased by 5%.... ..
...
2,38 x 5,6 + 9,52 hljkjkk
Answer:
22.848
Step-by-step explanation:
just type it into a calculator dawg
if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure
========================================================
Work Shown:
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
3 yards + 2 feet = 9 feet + 2 feet = 11 feet
1 foot = 12 inches
11 feet = 132 inches (multiply both sides by 11)
11 feet + 3 inches = 132 inches + 3 inches = 135 inches
is this correct ? if not what’s the correct answer?
It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.
This adds up to 136 and you must subtract 136 from 180 and is 44.
ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.
Step-by-step explanation:
We don't know if AB is a hypotenuse or leg.
If AB is hypotenuse:
[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]If AB is leg:
[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]For base/Perpendicular
AB²=8²-7²AB²=64-49AB²=15AB=√15For Hypotenuse
AB²=8²+7²=64+49AB²=113AB=√113Tell whether the ordered pair is a solution to the equation please show how you solve it.
(3,2); x+6y = 13
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
