A system of equation may have one, zero or infinitely many solutions
The system of equation has no solutions
The systems of equation are given as:
[tex]y = -6x - 5[/tex]
[tex]-2y +7 = 12x[/tex]
Substitute -6x - 5 for y in [tex]-2y +7 = 12x[/tex]
[tex]-2(-6x - 5) +7 = 12x[/tex]
Open brackets
[tex]12x + 10 +7 = 12x[/tex]
[tex]12x + 17 = 12x[/tex]
Subtract 12x from both sides of the equation
[tex]17 = 0[/tex]
The above equation is not true i.e.[tex]17 \ne 0[/tex]
Hence, the system of equation has no solutions
Read more about solutions of equations at:
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Find the area and the circumference of a circle with radius 4 yd
First, let's find the area! The formula to find the area of a circle is πr²
πr²
3.14 · 4²
50.24 yds²
Now let's find the circumference. The formula for this is 2πr
2πr
2 · 3.14 · 4
25.12 yds
Hope this helps!
You are on level ground in the late afternoon. The Sun is at angle of elevation of 17 degrees. A tree casts a 206-foot long shadow feet. What is the height of the tree in the nearest foot
[tex]\\ \sf\longmapsto tanC=\dfrac{AB}{BC}[/tex]
[tex]\\ \sf\longmapsto tan17=\dfrac{AB}{206}[/tex]
[tex]\\ \sf\longmapsto AB=0.3(206)[/tex]
[tex]\\ \sf\longmapsto AB=61.8ft[/tex]
It takes 4/5 of an hour to fill 1/2 tank.how many tanks can she fill in an hour
Answer:
5/8 of a tank
Step-by-step explanation:
Divide 1/2 by 4 to get how much of a tank you would be able to fill in 1/5 of an hour. 1/2 ⁒ 4 is 1/8 so she can fill 1/2+1/8 of a tank or 5/8 of a tank.
what are the values? f(3)
Answer:
it's simply what we follow and respect like we value our culture
Step-by-step explanation:
hope this will help
use technology to find points and graph the line x - 3y = -6
please help ill mark brainliestl
Answer:
A) Yes...ABC and GFC are similar using AA.
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS
Answer:
1000 = 450 + 50w
Step-by-step explanation:
She starts with $450 so that is why you add it. The amount she started with will not change.
She earns $50 per week so you add 50 multiplied by the number of weeks she works.
You do this until it equals 1000
Can someone help please
=========================================================
Explanation:
If you know the cost function C(x), to find the marginal cost, we apply the derivative.
Marginal cost = derivative of cost function
Marginal cost = C ' (x)
Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.
[tex]\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\[/tex]
[tex]C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]
D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).
To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.
Therefore, we go from this
[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]
to this
[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\[/tex]
which is the final answer.
A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads
105/2^9
Step-by-step explanation:
The probability of getting a head in a single toss
p=12
The probability of not getting a head in a single toss
q=1−12=12
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
=10C4(1/2)4(1/2)10−4
=10×9×8×7/4! 1/2^4 1/2^6
=2^44⋅9⋅35/24(2^10)
=105/2^9
Answer:
P = 0.205 (20.5%)
Step-by-step explanation:
[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]
Hope this helps
most of the mathematical symbols were not invented until 16th century, before that how equations were written?
Answer:
During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics
Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.
For example, Y + 10 = 4.5 would be written as
The thing plus ten equal to eight.
It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:
Multiplication Sign × (1618)Plus/Minus Sign ± (1628)Inequality Signs > and < (1631)Percentage Sign % (1650)Infinity Sign ∞ (1655)Division Sign ÷ (1659) to mention a few.Prior to the 16th century, some mathematical signs were already in use. They are:
Plus Sign + (1360)Minus Sign - (1489)Square Root Sign (1525)Equals Sign = (1557) to mention a few.See the link below for more about Mathematical Signs:
https://brainly.com/question/11855662
I Was Not That Day On College, I Don't Have The Formulas To Study
Answer:
check online for more information
I’m not sure how to solve this, anyone know?
Answer:
A' = (-4, 7)
B' = (3, 5)
C' = (1, 2)
Step-by-step explanation:
The question is asking you to translate the function by adding 4 to the x-value of each point and 2 to the y-value of each point.
I didn't double-check my math, but since the question is asking for an ordered pair, this should be correct.
we laid out strands of lights to decorate the school each strand was 12 feet long how many strands did we need if we needed at least 70 feet of lights
What percent of 38 is 12
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]\frac{38}{100} (12)[/tex]
[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]
[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]
[tex]=\frac{(19)(12)}{(50)(1)}[/tex]
[tex]=\frac{228}{50}[/tex]
[tex]=\frac{114}{25}[/tex]OR[tex]4.56[/tex]
ANSWER:
[tex]\frac{114}{25}, OR: 4.56[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____
Answer:
7.2
Step-by-step explanation:
20/12 = 12/x
20x = 144
x = 144/20
x = 7.2
Check to make sure your answer is right:
20/12 = 1.66666666667
12/7.2 = 1.66666666667
is 5.243 greater, equal to ,or less than 5.4?
Answer:
5.243 is less than 5.4....
Determine whether f(x) = 5x^2-20x+ 3 has a maximum or a minimum value and find that value.
PLEASE HELP I’ll mark brainliest
Answer:
Answer in the attachment, as it wasn't letting me answer it, saying rude words.
Driving at a constant rate, Dan traveled 310 miles in 5 hours. If he drives at the same speed, how far will Dan travel in 8 hours?
According to the amount he drove in 5 hours, he drove an average of 62 MPH. If he continued to drive at this speed for 8 hours, he would travel 496 miles.
the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x
b) calculate the area if x=32 feet
answer
a.) y=2.5x
area=2.5x^2
b.)2560
Step-by-step explanation:
a. The construct the expression for the area of the rectangle in terms of x is y=2.5x
b. The area should be 2,560.
Given that,
the length of a rectangular house is two and a half times its width.Based on the above information, the calculation is as follows:
a) The expression should be y = 2.5x
b) The area should be
[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]
= 2560
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The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. About how many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed.
262.5 gallons of milk does the class drink in 10 weeks.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week.
as, we know that
1 pint= 0.125 Galloon
So, 210 pints milk = 210 x 0.125 = 26.25 Galloon
Then, In 10 weeks amount of milk drink
= 26.25 x 10
= 262.5 Gallon
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)
Answer:
The length of XY is 22.5
Step-by-step explanation:
Since you need to hurry I will not write an explanation
Hope this helps! :)
૮ ・ﻌ・ა
can anyone please help? I'm stuck on this problem
Answer:
I think 38.7 if you do<j it would be 38.7
Pls look at the picture for the question.
Answer:
10
Step-by-step explanation:
each tick mark is worth 5
there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.
An average 1-year-old baby boy weighs around 9.6 kilograms. Convert this
weight into ounces.
Answer:
338.63 ounces
Step-by-step explanation:
1=35.274
35.274 times 9.6 is 338.6304
At a soccer game, a vendor sold a combined a total of 220 sodas and hotdogs. The number of sodas was sold was 46 more than the number of hotdogs sold. Find the number of sodas sold and the number of hotdogs sold.
Answer:
133 sodas and 87 hotdogs were sold.
Step-by-step explanation:
math
Answer:
number of sodas: x+46 (46 more than hotdogs)
number of hotdogs: x
x+x+46=220
2x+46=220
2x=174
x=87
87+46=133
number of sodas: 133
number of hotdogs: 87
A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?.
Answer:
The value of p is -5.
Step-by-step explanation:
Given the slope and a known point, you have 3 of the 4 variables and you can use them to solve for the y-intercept of the line.
[tex]y=mx+b\\(27)=(8)(2)+b\\27=16+b\\11=b\\b=11[/tex]
Now, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=8x+11[/tex]
Finally, you can use that equation to solve for y at x = -2:
[tex]y=8(-2)+11\\y=-16+11\\y=-5[/tex]
The value of p is -5.
You can also see that on a graph.
Suppose that 26% of people own cats. If you pick two people at random
Answer:13 percent would have cats and the other 13 percent wouldn’t
Step-by-step explanation:plz mark for brainlist
Thank you
The solution is -1/2.
Which multiplication equation has the given solution?
Answer:
5x=-(5/2) ~~ first choice
Step-by-step explanation:
divide both sides by 5
-> x=(5/2)/5
simplify the above
-> x = - (5/2x5)
simplify
-> x = -(5/10)
simplify and solve
=> x = - 1/2
(basically trial and error)
help i dont know how to do the rest of this homework
Answer:
Step-by-step explanation:108 divided by 12 equals 9 so nine feet next to 108 inches.
and nine divided by 3 is 3 so nine yards in the row with 108 inches.
360 divided by 12 which is 30 so 30 feet in the row with 360 inches.
90 feet divided by three so 30 so 30 yards in the row with 360 inches.
24 inches equals 2 feet
double this length is 48 inches or 4 feet
so in all he cut 6 yards and since he only had three yards you will still have 3 yards left over.
Evaluate.
16÷(2+1/2)2
(the 2 at the end is a 1 half to the 2 power)
PEMDAS, notice Parentheses is first, then Exponents 2nd
[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]
now that the exponent got done, let's keep in the parentheses
[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]
PEMDAS, after all that we'll do D, Division next
[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]
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this just some addition to your previous posting, since you kinda got spammed some
[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]
notice, PEMDAS, P first and so on, AS are last, from left to right.