Answers
Answer: See below
Step-by-step explanation:
[tex]\begin{bmatrix}y=x^2-20x+73\\ y=-3x+3\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:the\:equations:}[/tex]
[tex]y=x^2-20x+73[/tex]
[tex]-[/tex]
[tex]\underline{y=-3x+3}[/tex]
[tex]y-y=x^2-20x+73-\left(-3x+3\right)[/tex]
[tex]\mathrm{Simplify:}[/tex]
[tex]0=x^2-17x+70[/tex]
[tex]x^2-17x+70=0[/tex]
[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}[/tex] [tex]\mathrm{for\:}\ a=1,\:b=-17,\:c=70:[/tex]
[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \sqrt{\left(-17\right)^2-4\cdot \:1\cdot \:70}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \:3}{2\cdot \:1}[/tex]
[tex]\mathrm{Separate\:the\:solutions:}[/tex]
[tex]x_1=\frac{-\left(-17\right)+3}{2\cdot \:1},\:x_2=\frac{-\left(-17\right)-3}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=10,\:x=7[/tex]
[tex]\mathrm{Plug\:the\:solutions\:}x=10,\:x=7\mathrm{\:into\:}y=x^2-20x+73:[/tex]
[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}10[/tex]
[tex]y=10^2-20\cdot \:10+73[/tex]
[tex]y=10^2-200+73[/tex]
[tex]y=100-127[/tex]
[tex]y=-27[/tex]
[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}7[/tex]
[tex]y=7^2-20\cdot \:7+73[/tex]
[tex]y=7^2-140+73[/tex]
[tex]y=49-67[/tex]
[tex]y=-18[/tex]
[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2-20x+73,\:y=-3x+3\mathrm{\:are\:}:[/tex]
[tex]\begin{pmatrix}x=10,\:&y=-27\\ x=7,\:&y=-18\end{pmatrix}[/tex]
Answer:
bbbbb
Step-by-step explanation:
Related Questions
in triangle cde find ec
Answers
Step-by-step explanation:
EF/EC = FG/CD
12/EC = 20/45
12 = 20/45 EC
12×45/20 = EC
27 = EC
EC = 27
what percent of 250 is 182?
Answers
182/250 = 0.728 = 72.8%
Answer:
182 is 72.8% of 250
3. Maria signed up for a lawn service. She was
charged an initial fee of $75 plus $18 for every
application. How many applications did she
get with $525?
Answers
Step-by-step explanation:
525 - 75 = 450
18 for ever one
equals to 450
18x = 450
450÷18 = x
450 ÷ 18 is
comment and i will check
please put brainest
When a photographer can't change a scene, she changes her angle and lens to capture the best of that scene. Similarly, when you can't change your situation in your life, change your perspective and mindset to get the best out of that situation.
Answer the question below:
What does the quotation above tell us?
Answers
Answer:
idrk the answer but now I know
in rectangle QRST , QS = 5x-31 and RT= 2x+11. Find the lengths of the diagonals of QRST
Answers
Answer:
11.7
Step-by-step explanation:
I just solved and added them all-
whats 4n = 880.4's solution??
Answers
Answer:
n = 220.1
Step-by-step explanation:
4n = 880.4n = 880.4 ÷ 4n = 220.1the value of n is 220.1
What is the average rate of change from -1 to 3?
Answers
Answer:
-15
Step-by-step explanation:
(y2 - y1)/( x2 - x1) = (4-64)/(3+1) = -60/4 = -15
what is the value of \sqrt{21} rounded to the nearest tenth
Answers
Answer:
4.5
explanation:
4.5 x 5(This number is not exactly important, but is used as an example)
Is extremely close to the true square root of 21.
That is 4.58257569495584 unrounded.
61280 divide by 72 I do not know how to get this answer please help
Answers
Answer:
851.1
Step-by-step explanation:
It would be 851.1
in simple terms, how do u factor a polynomial by distribution? for example " 36a^2 + 24a?
Answers
Answer:
6a (6a + 4)
Step-by-step explanation:
What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a
So 6a(6a + 4)
i need an explanation please
Answers
===================================================
Explanation:
The [tex]n^2[/tex] terms cancel out because
[tex]n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0[/tex]
The n terms combine to
5n + (-3n) = 5n - 3n = 2n
Lastly, the constants combine to
-6 + 4 = -2
Overall we have 2n - 2 as the simplified result.
round off 6 337 927 to 3 significant figures
Answers
Answer:6340000
Step-by-step explanation:
HELP Please
I really need the answer
Answers
Step-by-step explanation:
a full circle has 360°.
so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.
labour = 360 - 136 - 34 - 54 - 14 = 122°
the fraction 122/360 represents the 183 votes for labour.
122/360 = 183
the fraction 1/1 = 1 then represents the total number of votes in the whole system.
61/180 = 183
1/180 = 3
1 = 3×180 = 540
540 pupils voted altogether.
Factor completely
x²-9
Answers
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
Use difference of squares property:
(x + 3)(x - 3)
NEED HELP ASAP EASY 10 to 20 POINTS
Answers
Given :
Find the gcf of the first two terms and the GCF of the last two terms for the polynomial.[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]
Solution :
The first two terms of the polynomials are :
[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]
[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]
Therefore,
Their Greatest common factor is 5p² .⠀
The last two terms of the polynomials are :
[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]
[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]
Therefore,
Their Greatest common factor is 3 .What side lengths should be used to model a rectangle with an area of x2 3x – 10 square units? x – 5 and x 2 x – 2 and x 5 x and x 3 x 3 and x – 10
Answers
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The area of the rectangle is x² + 3x – 10.
On factorization, we have
x² + 3x – 10
x² + 5x –2x – 10
x (x + 5) –2 (x + 5)
(x + 5) (x – 2)
We know that the area of a rectangle is given as
Area = Length × Width
x² + 3x – 10 = (x + 5)(x – 2)
On comparing, we have
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
see picture
Step-by-step explanation:
GIVING BRAINLIEST 100 points
Answers
Answer:
A) 4n+30=95
B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95
C) the least number of weeks would be 17 since it says a whole week
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Answer:
i dont know
Step-by-step explanation:
Need help on this question ASAP pleasee
Answers
Answer:
c
Step-by-step explanation:
vertical translation down two units
See pic attached ..,,,
Answers
Answer:
hey buddy
do u rember me its me manisha
Identify the shape and solve for X
(will give Brainliest)
PLEASE HELP
Answers
Answer:
see explanation
Step-by-step explanation:
the figure has 4 congruent sides and 4 right angles and is therefore a square, then
8x - 15 = 3x + 11 ( subtract 3x from both sides )
5x - 15 = 11 ( add 15 to both sides )
5x = 26 ( divide both sides by 5 )
x = 5.2
Answer:
It's a square
x = 26/5
Step-by-step explanation:
Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.
Because the sides are equal, you would set up the equation by making the two expressions equal to each other:
3x + 11 = 8x - 15
The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.
3x + 11 = 8x - 15
-3x -3x
0 + 11 = 5x - 15
Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.
11 = 5x - 15
+15 +15
26 = 5x
Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.
x = 26/5
Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]
What is a1 if a6 = 35 and a9 = 8
Answers
Answer:
the answer is 80
Step-by-step explanation:
it wrote the problem down on paper and did the math and i got 80
The Smiths bought an apartment for $65,000. Assuming the value will appreciate at most 3% a year, how much will the apartment be in 4 years?
Answers
Answer:
$73158.07
Step-by-step explanation:
The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.
please mark me as brainlyest
Answer: $73,157.50
Step-by-step explanation:
Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years
We know the compound interest/appreciation formula is:
S=p(1+r/100)^t
[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]
Therefore, the apartment will be worth about $73,157.50 in 4 years
By selling a jacket for Rs 729, Sunanda lost 10 %. What was the cost price of the
jacket?
Answers
Answer:
810
Step-by-step explanation:
SP = 729, LOSS = 10.1
[tex]loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100[/tex]
10 CP = CP x 100 - 729 x 100
729 x 100 = 90 CP
[tex]cp = \frac{729 \times 100}{90} = 810 [/tex]
Cost Price,
$810
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!
Answers
Answer:
(3, 5)
Step-by-step explanation:
Answer:
(3, 5)
explanation:
solve for x:
5x-10=-3x+14
5x + 3x = 14 + 10
8x = 24
x = 3
solve for y:
y = 5x -10
y = 5(3) - 10
y = 5
In (x, y) form → (3, 5)
what does this equal to?
Answers
Answer:
x = 14
y = 7
z = 22
Step-by-step explanation:
x = # of cucumbers
y = # zucchini
z = # tomatoes
x + y + z = 43
2y = x or y = x/2
x + 8 = z
x + x/2 + x + 8 = 43
2x + x/2 = 35
4x + x = 70
5x = 70
x = 14
2y = 14
y = 7
14 + 8 = z
z = 22
Check if these variables are right:
14 + 7 + 22 = 43 ✔️
Factor the expression 4x2-100
(4x-5)(x+20)
(2x+5)(2x-20)
4(x-5)(x+5)
(2x-5)(2x+20)
Answers
A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of the pool is filled per hour?.
Answers
At the considered rate the fraction of pool that is filled per hour is 13/12
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.
in 12 hour time interval total 13 pools were filled.
That means
Rate of filling the pool is 13 pools per 12 hours or [tex]\dfrac{13}{12}[/tex] pools per hour.
Thus, at the considered rate the fraction of pool that is filled per hour is 13/12
Learn more about rate of change here:
https://brainly.com/question/11484885
4.
Ten participants in a health study each ran a distance of 1 mile. The pulse rates of the participants were recorded before and after the run. The pre-run and post-run pulse rates, in pulses per minute (ppm), are shown in the table below.
Based on the data in the table, which statement is true?
Answers
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
What is the post run mean?This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
What is the post run median?First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at https://brainly.com/question/396397.
Write the equaition in slope-intercept form of the line through (6,9) and (-12,-3)
Answers
Solve this:
Profit and Loss
ʘ‿ʘ
Answers
Answer:
181.44
Step-by-step explanation:
In term of Rajan
CP= Rs 180
P= 20%
So,
P = 20*180/100
= Rs 36
SP=CP + P
=Rs 216
In term of Sajan
CP= Rs 216
loss=20%
l = 20*216/100
= Rs 43.2
SP= CP - l
= Rs 172.8
In term of Nirajan
CP= 172.8
P = 5%
P = 5*172.8/100
= Rs 8.64
so,
SP=CP + P
=172.8 + 8.64
= Rs 181.44