Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
Question is in the picture
9514 1404 393
Answer:
x = 3y = 9Step-by-step explanation:
Congruent sides are the same length.
AB = DF
3(2x +10) = 12x +12
6x +30 = 12x +12 . . . . eliminate parentheses
18 = 6x . . . . . . . . . . . . subtract 6x+12
3 = x . . . . . . . . . . . . . divide by 6
__
BC = FG
2y +12 = 2(2y -3)
y +6 = 2y -3 . . . . . . . divide by 2
9 = y . . . . . . . . . . . . subtract y-3
How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?
Answer:
there are 48cubes fetted into a box
what is the standard deviation for city A and city B
Answer:
$0.8426
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
I don't exactly remember how to do this
Answer:
29 or D
Step-by-step explanation:
You square both sides to get
7 + y = 36
You then subtract 7 from both sides to get
y = 36 - 7
y = 29
How do you convert 3.2 (2 repeating) as a fraction?
Answer:
3+2/9 = 29/9
Step-by-step explanation:
examples:
4/9 = 0.444444
8/9 = 0.888888
3/9 = 0.3333333
7/9 = 0.777777
1/9 = 0.111111111
2/9 = 0.22222222
80/99 = 0.808080
67/99 = 0.6767676767
44/99 = 0.4444444
12/99 = 0.1212121212
345/999 = 0.345345345
i think you get the point.
so we know 2/9 = 0.22222, so now just add a 3:
3+ 2/9 = 27/9 + 2/9 = 29/9
Define intersection of a line
Answer:
perpendicular lines
Step-by-step explanation:
Two lines intersect when they cross each other. ... The point where the lines intersect is called the point of intersection. If the angles produced are all right angles, the lines are called perpendicular lines. If two lines never intersect, they are called parallel lines.
Answer:
When two or more lines cross each other in a plane, they are called intersecting lines.
Step-by-step explanation:
Please help will give brainliest
Solve the equation.
-(x + 2) – 2x = -2(x + 1)
x = [?]
Answer:
x = 0
Step-by-step explanation:
-(x + 2) – 2x = -2(x + 1)
-x-2-2x = -2x-2
-3x-2 = -2x-2
-3x+2x = -2+2
x = 0
Answer:
x = 0Step-by-step explanation:
-(x + 2) – 2x = -2(x + 1)
=> - x - 2 - 2x = -2x - 2
=> - 2 + 2 = - 2x + 2x + x
=> 0 = x or x = 0 (Ans)
The points A(− 7,-8) and B(18,-8) are the two vertices of an isosceles triangle ABC, where AB=BC. The equation of the perpendicular from B to AC is 4x+3y= 48, try to find the coordinates of point C
Really need some help with this, thank you very much.
Answer:
HOPE THIS ANSWER WILL HELP YOU
I have to calculate the lengths of all the triangles sides using pythagoras theorem
Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
Find three irrational numbers between
0.53 and 0.54
Answer:
Step-by-step explanation:
You could use anything that does not change the value of 3 in 0.53 or the 4 in 0.54
So for example
0.533
0.536
0.538
all would make the sentence above true.
Answer:
0,533(3); 0,53111(1); 0,53222(2)
Step-by-step explanation:
a is a number to find
0,53<a<0,54
=>a ∈ { 0,53111(1); 0,53122(2);....;0,5399(9)}
Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x
Any help is appreciated :)
Answer:
1st option
Step-by-step explanation:
To find (f ￮ g)(x) substitute g(x) into f(x) , that is
f([tex]\frac{1}{2x}[/tex] )
= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]
= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]
= [tex]\frac{4x}{1+6x}[/tex]
Which of the following is the smallest number?
O 7.8* 102
O 2.36 * 10-3
O 1.94 * 105
04.19* 109
When 59,527 is divided by 23, the quotient is 2,588 R ___.
Answer:
3
Step-by-step explanation:
When 59,527 is divided by 23, the quotient is 2,588 R3.
Hope this helps! :)
Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes 15 hours for the number of bacteria to increase to 300.
Answer:
so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours
+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes
Step-by-step explanation:
answer from gauth math
Answer:
22 hours and 30 minutes
Step-by-step explanation:
Use the number line to find a fraction that equals to 1/2
You are a mechanic who is measuring the valve clearance on a motorcycle engine. The current clearance for one of the valves is 0.30 millimeter (mm). The clearance should be at least 0.18 mm and no more than 0.22 mm. The valve clearance is set by using a spacer that reduces the distance between the cam and the valve by the size of the spacer. Spacers are available in 0.04 mm increments, and the spacer currently in the motorcycle engine is 2.84 mm. Which of the following size spacers, in millimeters, should you use to achieve a correct valve clearance?
The 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.
What is the valve clearance of a motorcycle?On motorcycle and automobile engines, valve clearances essentially refer to the gap or distance between the top of the valve stem and the camshaft that controls it.
The exhaust valves in an automobile engine release the burned gases, while the intake valves permit air and fuel into the cylinder.
Given that:
The current clearance = 0.3 mmThe clearance range is between = 0.18 mm - 0.22 mmThe available spacer = 0.04 mm incrementsThe current spacer is = 2.84 mmThe difference in between the current and clearance range is:
0.3 mm - 0.18 mm = 0.12 mm0.3 mm - 0.22 mm =0.08 mmHowever, for clearance to be positioned within 0.18 mm - 0.22 mm. The required spacers to be used are 0.04 mm, and 0.08 mm in conjunction with:
Clearance 0.3 = 3.14Clearance 0.18 = 3.02Clearance 0.22 = 3.06The mean value = 3.04
Therefore, for us to approach and get to the value of 3.02, the required spacers to be that must be added are:
2.84+0.04 2.882.84+0.08 2.922.84+0.12 2.962.84+0.16 3.002.84+0.2 3.04Therefore, we can conclude that the 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.
Learn more about valve clearance here:
https://brainly.com/question/20347783
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i need help answering the question in the picture provided
answer:
(a).
Equation of circle is x² + y² - 25 = 0
(b).
(-5, 0) » yes
(√7, 1) » no
(-3, √21) » no
(0, 7) » no
Step-by-step explanation:
(a).
If centred at origin, centre is (0, 0)
General equation of circle:
[tex]{ \boxed{ \bf{ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}}}[/tex]
but g and f are 0:
[tex] {x}^{2} + {y}^{2} + c = 0 \\ but : \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = { - 25} [/tex]
John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen
Answer:
if this is it the equation would be L = 8w + 5
If two dresses that are the same price cost $93.98 total, how much does one dress cost?
Answer:
$46.99
Step-by-step explanation:
Since both dresses that cost the same add up to a total price of $93.98, all you have to do is divide the total price by 2.
93.98/2=46.99
I would really appreciate if someone could help me with this and explain:)
Answer:
11
Step-by-step explanation:
The distance between -7 and 4 is 11. -6 stays the same. So we just either move up or down.
Use the rational exponent property to write an equivalent expression for
Step-by-step explanation:
the nth root can be written as exponent of 1/n.
so, we have here
[tex] {( {n}^{4} + 3) }^{ \frac{1}{5} } - 12[/tex]
pls help..
10 Round off 843 426 to the nearest thousand.
Ms. Drew wants to build a square sand box with an area of 225 sq ft what is the lenght of woods she needs
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card
Answer:
2/52
Step-by-step explanation:
Find the 50th term of the following
arithmetic sequence 5, 9, 13, 17?
Answer:
201
Step-by-step explanation:
First you need to know the position to term rule and to find this you use a formula which is:
tn = an + b
Where tn is the term number, a is the difference between the other terms.
So the tposition to term rule here is 4n+1.
Then we substitute n for the value 50 making it 4(50) + 1 = 201.
201 is the 50th term
why is 8/4 a natural number but 7/4 is not ?
Step-by-step explanation:
if we divide 8/4 then it comes 2 which is natural number but when we divide 7/4 it comes 1.75 which comes in points
Answer:
8/4=2 7/4=1.75
Step-by-step explanation:
Natural numbers are whole numbers ex: 1,2,3,4,700 etc. However 1.75 is not a whole number which is why it is not a natural number
write 0.8 as a fraction in simplest form.
The answer would be 8/10, but the simplified answer would be 4/5. I hope this helped answer your question for you. Enjoy your day, and take care!
There are 1/3 pieces of pie left over on each
plate. How much pie is left over in total?
Answer:
3/3
Step-by-step explanation:
there are 3 plates and 1/3 on each plate is 3
1/3+1/3+1/3= 3/3
An entity can be divided in fractions or ratios. The total number of pie left over on N plates is [tex]\frac 13N[/tex]
Given that:
[tex]k = \frac13[/tex] --- the fraction left over
The total number of pie left over is
[tex]Total = \frac{1}{3} \times N[/tex]
Where N is the number of plates
So:
[tex]Total = \frac{1}{3} N[/tex]
For instance
If N is 6, the number of pie will be 2: i.e.
[tex]Total = \frac{1}{3} \times 6 = 2[/tex]
If N is 12, the number of pie will be 4: i.e.
[tex]Total = \frac{1}{3} \times 12 = 4[/tex]
Read more about fractions at:
https://brainly.com/question/1301963
When g ( t ) = 3 t 2 + 2 t + 1 , evaluate g ( − 4 )
Answer:
Just substitue every 't' with -4
Step-by-step explanation:
g(-4) = 3*(-4)*(-4) + 2*(-4) + 1
g(-4) = 64-8+1
g(-4) = 57
Answer:
g(-4) is 41
Step-by-step explanation:
[tex]g(t) = 3 {t}^{2} + 2t + 1[/tex]
when t is -4, substitute -4 in place of t:
[tex]g( - 4) = 3 {( - 4)}^{2} + 2( - 4) + 1 \\ g( - 4) = 48 - 8 + 1 \\ g( - 4) = 41[/tex]
Patrick is a loan officer at a bank. He has
$2,000,000 to lend out and has two loan programs.
His home equity loan is currently priced at 6% per
annum, and his unsecured personal loan is priced
at 14%. The bank president wants Patrick to earn
a rate of return of 12% on the $2,000,000 available.
How much should Patrick lend out at 6%?
Answer:
1,500,000 at 14% and 500,000 at 6%
Step-by-step explanation:
x + y = 2,000,000
.14x + .06y = 240,000
[tex]0.14x+0.06\left(2000000-x\right)=240000\quad :\quad x=1500000[/tex]