Answer:
Step-by-step explanation:
Factored form: (x - 8)(x + 1)
x-int: (8, 0) and (-1, 0)
Axis of symmetry: -(-7)/2 = 7/2
Vertex: (7/2, -81/4)
Domain: all real numbers
Range: y>= -81/4
20 kg potatoes are sold at $12.80 each.If you have only $48, how many 20kg bags can you buy
Answer:
3 bags
Step-by-step explanation:
you can buy three, 20 kg bags
one (1) 20kg bag = $12.8 (1)
three (3) 20 kg bags = $12.8 (3)
= $38
your balance 10 dollars
How many composite number between 1 and 50
Step-by-step explanation:
There are 34 composite numbers between 1 to 50 which are as follows: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50.
Diane must choose a number between 49 and 95 that is a multiple of 2, 3, and 9. Write all the numbers that she could choose. If
there is more than one number, separate them with commas?
The set of numbers that Diane can choose is:
{54, 60, 66, 72, 78, 84, 90}
Finding common multiples of 2, 3, and 6:
A number is a multiple of 2 if the number is even.
A number is a multiple of 3 if the sum of its digits is multiples of 3.
A number is a multiple of 6 if it is a multiple of 2 and 3.
Then we only need to look at the first two criteria.
First, let's see all the even numbers in the range (49, 95)
These are:
{50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94}
All of these are multiples of 2.
Now we need to see which ones are multiples of 3.
To do it, we sum its digits and see if that sum is also a multiple of 3.
50: 5 + 0 = 5 this is not multiple of 3.
52: 5 + 2 = 7 this is not multiple of 3.
54: 5 + 4 = 9 this is multiple of 3, so 54 is a possible number.
And so on, we will find that the ones that are multiples of 3 are:
54: 5 + 4 = 9.
60: 6 + 0 = 6
66: 6 + 6 = 12
72: 7 + 2 = 9
78: 7 + 8 = 15
84: 8 + 4 = 12
90:9 + 0 = 9
Then the numbers that Diane could choose are:
{54, 60, 66, 72, 78, 84, 90}
If you want to learn more about multiples, you can read:
https://brainly.com/question/1553674
A line is perpendicular to the line y = 4x - 3 and has x-intercept (2,0). Which of the following is an equation of the line?
Answer:
y = -1/4x+1/2
Step-by-step explanation:
y = 4x - 3
This is in slope intercept form, y = mx+b where the slope is m
The slope is 4
Perpendicular lines have slopes that are negative reciprocals
-1/4 is the slope of the perpendicular line
y = -1/4x+b
Using the point (2,0)
0 = -1/4(2)+b
0 = -1/2+b
b = 1/2
y = -1/4x+1/2
What is the congruence correspondence, if any, that will prove the given triangles congruent?
A. ASA
B. SSS
C. SAS
B. HL
Answer:
HLStep-by-step explanation:
The congruence correspondence between the two given triangles is HL as one leg and hypotenuse are given equal.
----------------------
OAmalOHopeO
----------------------
Find the greatest rational number r such that the ratios 8/15 ÷ r and 18/35 ÷ r are whole numbers?
The answer is "[tex]\bold{\frac{2}{105}}[/tex]", and the further calculation can be defined as follows:
When the "r" is the greatest common divisor for the two fractions.
So, we will use Euclid's algorithm:
[tex]\to \bold{(\frac{8}{15}) -(\frac{188}{35})}\\\\\to \bold{(\frac{8}{15} -\frac{188}{35})}\\\\\to \bold{(\frac{56-54}{105})}\\\\\to \bold{(\frac{2}{105})}\\\\[/tex]
this is [tex]\bold{(\frac{8}{15}) \ \ mod \ \ (\frac{18}{35})}[/tex]
we can conclude that the GCD for [tex]\bold{\frac{54}{105}}[/tex], when divided by [tex]\bold{\frac{2}{105}}[/tex], will be the remainder is 0. Rational numbers go from [tex]\bold{\frac{2}{105}}[/tex] with the latter being the highest.
So, the final answer is "[tex]\bold{\frac{2}{105}}[/tex]".
Learn more:
greatest rational number:brainly.com/question/16660879
Which graph best represents the equation 5x + 2y = 7?
Answer:
D
Does the answer help you?
Answer:
D
Step-by-step explanation:
Prove a proof please
Answer:
They look similar
Why wouldn't you use division to find an equivalent fraction for 7/15
Answer:
This depends whether you want to make the fraction bigger or smaller.
Step-by-step explanation:
If you want to the the fraction into something smaller than it already is, you would use division because when you divide something, you get a smaller number.
However, if you want to make the fraction bigger, then you would multiply.
Hope this helps! :)
Answer:
Because 7 is a prime number which means it can only divide by itself and one so you cannot divide seven but you can divide 15.
Step-by-step explanation:
I need help as soon as possible at 20 points
9514 1404 393
Answer:
(15/14)² = 225/196
Step-by-step explanation:
Evaluating the expressions inside parentheses, we can see they are the same, eliminating a bit of work.
[tex](\frac{5}{7}\times\frac{3}{2})^5\div(\frac{5}{2}\times\frac{3}{7})^3=(\frac{15}{14})^5\div(\frac{15}{14})^3=(\frac{15}{14})^{5-3}=\boxed{(\frac{15}{14})^2=\frac{225}{196}}[/tex]
3. Consider the multiplication operations below and choose whether the result can
be rational, irrational, or both.
VARMI,
Expressions
Rational
Irrational
Ve.
15.4
√5.
M
Step-by-step explanation:
1) √8.√2=√16
=4
4 is a natural number it falls in rational.
2)1/2* √9.√4=1/2*3*2
=3
3 is a natural number it falls in rational.
3)√5.√2=√10
√10 is a non-terminating and non recurring number so it falls in irrational.
Note: if you need to ask any question about it please let me know.
I really need help with this
Answer:
G=21, F=9, M=6, L=7, E=20, D=15, B=10, R=12.5, T=16, N=13.5, W=18, H=36, Z=12
*I=5*
Step-by-step explanation:
I basically just found the scale factor/proportion from two given sides and then used that to find the remaining sides.
*I'm not sure about 'I' since the edge of the paper was cut off so I want sure if it was a 5 or a 15 on the left most problem in the third row. I assumed it was 15. If it's not, just shout it out in the comments and I'll fix it! :)*
You can fill the letters in at the bottom XD
I hope this helped! :D
?
6.2
Divided by 1/2
Answer:
The answer is 3.1
[tex]6.2 \div \frac{1}{2} = 3.1[/tex]
If we were to convert it into a **FRACTION** the answer would be : 31/10.
And that i an improper fraction, but as a **MIXED NUMBER** : [tex]3 \frac{1}{10}[/tex]
All answers would be : 3.1 , 31/10 and 3 1/10
Answer:
0.5167
Step-by-step explanation:
6.2/12 first rewrite 6.2 as an improper fraction or 36/5 then multiply by 1/12 to get the solution of 0.5167.
Find x
Please help ASAP!!!!
Answer:
The answer for x = 30
Step-by-step explanation:
because as you see we got a 60 and you see that lil squares in the corners that squares represent 90 degrees now subtract 60-90 is 30 or you can do it other way just get a paper and graph it
9514 1404 393
Answer:
x = (3/2)√2
Step-by-step explanation:
The ratio of side lengths of the isosceles right triangle is ...
1 : 1 : √2
That means the short side of that triangle will be 6/√2 = 3√2.
__
The lengths of the sides of a 30°-60°-90° triangle have the ratios ...
1 : √3 : 2
The long side is the short side of the isosceles right triangle, 3√2, and the short side of the 60° triangle is half that.
x = (3/2)√2
Find the future value of each deposit if the account pays (a) simple interest, and (b) interest compounded annually! $700 at 3% for 6 years
Answer:
NO ANSWER
Step-by-step explanation:
REASON A: Simple interest, and- its not complete
what is the area of rectangle
Answer:
Step-by-step explanation:
Write a system of equations, and solve using either rref or the inverse matrix method. (Show the matrix (matrices) you enter into the calculator , the answer matrix,
and the value of each variable.)
The Snack Shop makes three mixes of nuts. Mix A contains 7 pounds of peanuts, 5 pounds of cashews, and 1 pound of pecans.
Mix B contains 3 pounds of peanuts, 2 pounds of cashews, and 2 pounds of pecans. Mix C contains 4 pounds of peanuts, 3 pounds of cashews, and 3 pounds of pecans. The shop has 67 pounds of peanuts, 48 pounds of cashews, and 32 pounds of pecans in stock. How many of each mix can it produce?
Answer:
ghhgggfdhkgdhkhg
Step-by-step explanation:
fffjiobbkk
In the figure above, point O is the center of the circle,
line segment BC is tangent to the circle at point B,
point A lies on the circle, and point O lies on line
segment AC. If the circumference of the circle is 50,
what is the length of minor arc AB ?
Answer:
16.67 or 16 2/3
Step-by-step explanation:
so, as BC is a tangent, it means the angle OBC is 90 degrees.
therefore, the angle BOC is 180 - 90 - 30 = 60 degrees.
that means the angle AOB is 180 - 60 = 120 degrees.
the triangle ABO must be an isosceles triangle, as the sides are both the radius of the circle. so, both remaining angles are the same : half of 180 - 120 = 60 = 30 degrees.
and so, we know that ABC is an isosceles triangle, because both "side angles" are equal = 30 degrees.
so, AB = BC.
and we know the circumference of the circle (50) and can calculate the radius
50 = 2×pi×r
25 = pi×r
r = 25/pi ≈ 7.96
now we have multiple ways to calculate AB.
AB = BC = tan(60) × r
or
AB = sqrt(r² + r² - 2×r×r×cos(120))
or ...
the first one might be easiest.
AB = tan(60) × 7.96 ≈ 13.78
oh, I just recognized, we need the arc AB (not the straight line).
even easier.
50 is the full "arc" of the circle for all 360 degrees.
but we only need the part of the angle AOB = 120 degrees.
so, this is then only the 120/360 part of the full circle circumference.
ABarc = 50 × 120/360 = 50 / 3 ≈ 16.67 or 16 2/3
A clothing factory makes small, medium, and large sweaters. Last week, the factory made
1,612 sweaters. The factory made 3 times as many small sweaters as large sweaters. They
made 3 times as many medium sweaters as small sweaters.
How many small sweaters did the factory make last week?
This requires finding the number of small sweaters the company made last week
Number of small sweaters the company produced last week is 372
Total sweaters made = 1,612
Let
Small sweaters = 3x
Medium sweaters = x
Large sweaters = 3(3x) = 9x
Total = small + medium + large
1,612 = 3x + x + 9x
1612 = 13x
Divide by 13
x = 1612/13
Medium sweaters = x = 124
Small sweaters = 3x
= 3(124)
= 372
Read more:
https://brainly.com/question/24326559
integration of 3^x (1-3^(x+1)^9)dx
Step-by-step explanation:
the answer is in picture
which of the following is equal to the measure of angle c
Answer:
its C
Step-by-step explanation:
Solve for 2x^2=50
Please help
Answer:
Equation:
2x^2 = 50
Divide by 2:
x^2 = 25
Take the square root:
x = 5, or -5.
Let me know if this helps!
Answer:
x=5
x=−5
Step-by-step explanation:
Question 3 plz show ALL STEPS
Answer:
7,0, -1 and -2
Step-by-step explanation:
Just substitute the values,
a. f(g(7))=f(-1) [g(7)=-1 given]
=7 [f(-1)=7 given]
b.f(g(-1))=f(3)=0 [g(-1)=3 Given]
c.g(f(-1))=g(7)=-1 [f(-1)=7 given]
d.g(f(7))=g(5)=-2 [f(7)=g(5) given]
A truck can be rented from Company A for $120 a day plus $0.80 per mile. Company B charges $50 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
700 miles driven in a day
Step-by-step explanation:
Create an equation to represent the situation, where x is the number of miles.
0.8x + 120 = 0.9x + 50
Solve for x:
120 = 0.1x + 50
70 = 0.1x
700 = x
So, the rental costs will be the same at 700 miles driven in a day.
Johnny was able to drive an average of 31 miles per hour faster in his car after the traffic cleared. He drove 16 miles in traffic before it cleared and then drove another 47 miles. If the total trip took 2 hours, then what was his average speed in traffic?
9514 1404 393
Answer:
16 mi/h
Step-by-step explanation:
The time for a given leg of the trip is the distance divided by the speed. If t is the speed in traffic, the total trip time is ...
16/t +47/(t+31) = 2
Multiplying by t(t+31), we get ...
16(t +31) +47t = 2(t)(t+31)
2t^2 -t -496 = 0 . . . . put in standard form
(2t +31)(t -16) = 0 . . . . factor
The positive solution is t = 16.
Johhny's average speed in traffic was 16 mph.
when a laptop is sold then there is loss of one sixth .then find loss percentage
If when the laptop is sold the loss from such sale is one sixth of price of a laptop [tex]p[/tex] then the percentage of loss is [tex]16\%[/tex] of [tex]p[/tex].
Hope this helps :)
How do you make 2.318181818 a mixed number
Use Taylor series to evaluate
limx→0(tan x − x)/x^3
Recall that
tan(x) = sin(x)/cos(x)
and
sin(x) = x - x ³/6 + x ⁵/120 - x ⁷/5040 + …
cos(x) = 1 - x ²/2 + x ⁴/24 - x ⁶/720 + …
Truncate the series to three terms. Then
[tex]\displaystyle \lim_{x\to0}\frac{\tan(x)-x}{x^3} = \lim_{x\to0}\frac{\frac{x-x^3/6+x^5/120}{1-x^2/2+x^4/24}-x}{x^3} \\\\ = \lim_{x\to0}\left(\frac{x-x^3/6+x^5/120}{x^3-x^5/2+x^7/24}-\frac1{x^2}\right) \\\\ = \lim_{x\to0}\left(\frac{1-x^2/6+x^4/120}{x^2-x^4/2+x^6/24}-\frac1{x^2}\right) \\\\ = \lim_{x\to0}\left(\frac{1-x^2/6+x^4/120}{x^2\left(1-x^2/2+x^4/24\right)}-\frac1{x^2}\right) \\\\ = \lim_{x\to0}\left(\frac{1-x^2/6+x^4/120}{x^2\left(1-x^2/2+x^4/24\right)}-\frac{1-x^2/2+x^4/24}{x^2\left(1-x^2/2+x^4/24\right)}\right) \\\\ = \lim_{x\to0}\frac{x^2/3-x^4/30}{x^2\left(1-x^2/2+x^4/24\right)} \\\\ = \lim_{x\to0}\frac{1/3-x^2/30}{1-x^2/2+x^4/24} = \boxed{\frac13}[/tex]
Which graph matches the exponential function f(x) = (3)x?
Find the output, hhh, when the input, ttt, is 353535.
h = 50 - \dfrac{t}{5}h=50−
5
t
h, equals, 50, minus, start fraction, t, divided by, 5, end fraction
h=
9514 1404 393
Answer:
43
Step-by-step explanation:
Put the value where t is and do the arithmetic.
h = 50 -t/5
h = 50 -35/5 = 50 -7 = 43
The output, h, is 43 when the input is 35.
Answer:
43
Step-by-step explanation:
The answer is 43 on Khan :)