One equation that does have an extraneous solution is: [tex]x + 1[/tex] = [tex]\sqrt{7x+ 15}[/tex]
One equation that doesn't have an extraneous solution is: [tex]\sqrt{x}[/tex] = 4
Answer:
agreed withe one above
Step-by-step explanation:
A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full
Answer: 16,000 litres
Step-by-step explanation:
1/16 of the pool is 2000l
8/16 full is 1/2 of the pool full
1/16 = 2000
8/16 = x
Cross multiply
1/16x = 2000 × 8/16
1/16x = 1000
Multiply both sides by 16
x = 16000
To make the pool half full, 16,000 litres is required.
16000 liters of water is required to make the pool half full.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that,
A swimming pool containing 2000l of water is 1/16 full.
We have to calculate the amount of water required to make the pool half full.
Let x be the liter of water required to make the pool half full.
Using proportional concept,
2000 : 1/16 = x : 1/2
This can be written as,
2000 / (1/16) = x / (1/2)
2000 × 16 = 2 x
x = (2000 × 16) / 2
x = 16000
Hence it would require 16000 liters of water to make half full pool.
To learn more about Proportions, click on the link :
https://brainly.com/question/26974513
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In the above quadrilateral ABCD,
AD || EF || BC and
|AE| = 2 EB, BM = 4, |AD = 6, BC| =
, 9
Then DO
Answer:
The length of segment [tex]\overline{DO}[/tex] is [tex]\displaystyle \frac{24}{5}[/tex].
Step-by-step explanation:
Start by verifying that [tex]\triangle DAB \sim \triangle MEB[/tex], and that [tex]\triangle DOA \sim \triangle BOC[/tex].
Both [tex]\triangle DAB[/tex] and [tex]\triangle MEB[/tex] contain the angle [tex]\angle DBA[/tex]. Hence, another pair of equal angles will be sufficient to prove [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.
Notice that because [tex]\overline{AD} \; \| \; \overline{EF}[/tex], the corresponding angles next to those two lines would be equal: [tex]\angle MEB = \angle DAB[/tex]. Both [tex]\angle MEB[/tex] is in [tex]\rm \triangle MEB[/tex] whereas [tex]\angle DAB[/tex] is in [tex]\triangle DAB[/tex].
Hence, [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.
Notice how [tex]\angle DOA[/tex] in [tex]\triangle DOA[/tex] and [tex]\angle BOC[/tex] in [tex]\triangle BOC[/tex] are two vertically opposite angles (and are thus equal to one another.) That is: [tex]\angle DOA = \angle BOC[/tex].
Because [tex]\overline{AD} \| \overline{BC}[/tex], the alternate interior angles [tex]\angle DAO[/tex] and [tex]\angle BCO[/tex] are also equal to one another. That is: [tex]\angle DAO = \angle BCO[/tex]
Hence, [tex]\triangle DOA \sim \triangle BOC[/tex], also by the angle-angle similarity postulate.
Notice that [tex]\triangle DAB \sim \triangle MEB[/tex] implies that:[tex]\begin{aligned} & \frac{\left| \overline{BM} \right|}{\left| \overline{BD} \right|} \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AB}\right|} && (\triangle MEB \sim \triangle DAB) \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AE}\right| + \left|\overline{EB}\right|} \\ &= \frac{\left|\overline{EB}\right|}{2\, \left|\overline{EB}\right| + \left|\overline{EB}\right|} && (\text{given that $\left|\overline{AB}\right| = 2\,\left|\overline{EB}\right|$})\\ &= \frac{1}{3}\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}&\left|\overline{BD}\right|\\ &= 3\, \left|\overline{BM}\right| \\ &= 12\end{aligned}[/tex].
Similarly, [tex]\triangle DOA \sim \triangle BOC[/tex] implies that:
[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right|} &= \frac{\left|\overline{AD}\right|}{\left|\overline{BC}\right|} && (\triangle DOA \sim \triangle BOC) \\ &= \frac{6}{9} = \frac{2}{3}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \left|\overline{BO}\right|= \frac{3}{2}\, \left|\overline{DO}\right|[/tex].
[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BD} \right|} &= \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right| + \left| \overline{DO} \right|} \\ &= \frac{\left| \overline{DO} \right|}{(3/2)\, \left| \overline{DO} \right| + \left| \overline{DO} \right|} = \frac{2}{5}\end{aligned}[/tex].
It was already found that [tex]\left|\overline{BD}\right| = 12[/tex]. Therefore:
[tex]\displaystyle \left|\overline{DO}\right| = \frac{2}{5}\, \left|\overline{BD}\right| = \frac{24}{5} = 4.8[/tex].
Select the correct answer. A company’s monthly profit, y, in relation to the number of salespeople employed, x, is shown on the graph. Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
A.
55
B.
50
C.
37
D.
25
Answer: 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
Are the two triangles above similar? Why or why not?
A. Yes, they are similar by the AA similarity postulate.
B. Yes, they are similar by the SAS similarity theorem.
C. No, two congruent angles is not enough information to prove similarity.
D. No, triangles with two congruent angles are never similar.
Answer:
is it c??
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because of the dashes on the angles, angle A is congruent to angle D and angle B is congruent to angle E. Since we know that 2 angles are congruent, the triangles are similar because of AA similarity
5(q+p+3) =
I’m unsure how to solve this problem
Its a weird problem but I think u should use formula:
(a+b)^2=a^2+2ab+b^2
5(q+p+3)=5q+15+5p=(√5q+√5p)^2
it is only thing u can do.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
-3
Step-by-step explanation:
subtract 6 by both sides
then divide by -2
Answer:
-y + 6 = -122y + 6 _ 6 = -12 _ 62y/2 = -6/2y = -3Step-by-step explanation:
I hope it helps ❤❤mr sumesh started selling cars at the age of 23 and he then started selling planes at the age of 43 years. what is the fraction of his agr did he sell the car?
He sold cars from age 23 to 43, which is 20 years ( 43-23 = 20)
He started selling planes at age 43, so he sold cars for 20 years out of 43 years.
The fraction is number of years he sold cars / number of total years.
Fraction = 20/43
4x – 13 < 11
Help!! Please
Answer:
x<6
Step-by-step explanation:
Which of the following is true about a point? It is a weenie washer
Answer:
-98
Step-by-step explanation:
if you read movies then when you go grocery shopping your cousin will be your brother and thats why cheese is the best fruit even made by jeff bezos
simplify the expression x(2y + z - 7)
Answer:
2xy+xz-7x
Step-by-step explanation:
Answer:
2yx + xz - 7x
Step-by-step explanation:
x(2y + z - 7)
distribute
(x * 2y) + (x * z) + (x * -7)
2yx + (x * z) + (x * -7)
2yx + xz + (x * -7)
2yx + xz + -7x
2yx + xz - 7x
surface area of 20,20,20
Answer:
2400
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
Multiply 20 x 20 x 20
What is ratio 54 1:16:2
The job is working requires 3 tons of cement Franklin truck can carry 400 pounds at a time how many trips will he have to make
Your car needs new brakes. You call a dealership and a local mechanic for prices. Cost of parts Labor cost per hour Dealership $24 $99 Local mechanic $45 $89 a. After how many hours are the total costs the same at both places
Answer:
The indifference point is 2.1 hours.
Step-by-step explanation:
First, we need to calculate the total cost for each option:
Dealership:
Total cost= 24 + 99x
Local mechanic:
Total cost= 45 + 89x
x= number of hours
Now, we need to equal both formulas and isolate x:
24 + 99x = 45 + 89x
10x = 21
x= 2.1
The indifference point is 2.1 hours.
Prove:
Total cost= 24 + 99*2.1= $231.9
Total cost= 45 + 89*2.1= $231.9
How many variables are in 10 - 3x + 4y - z?
Answer: 10
Step-by-step explanation:
The ratio of large blocks to small blocks is 6:5. There are 3 more large blocks than small blocks. How
many small blocks are there?
Answer:
4 small blocks
Step-by-step explanation:
Subtract. (a + 2b) – (3a – b)
4a + 3b
–2a + 3b
–2a + b
4a – b
Answer:
-2a+3b...............
What is the reciprocal of 3 1/3
Answer:
I believe the answer is 0.3
Answer:
0.3
Step-by-step explanation:
When x= 3, y = 36.
When x = 10, y = 120.
What is the constant of proportionality?
Joey is 13 years and 5 months old. His friend Suzy is 4,860 days old.
Who is older?
How many months old is the older person?
Answer:
The Joey is older as he is 13 years and 5 months old
Also the difference is of 2 months 8 days approx
Step-by-step explanation:
The computation is shown below:
Given that
Joey is 13 years and 5 months old
And his friend Suzy is 4,860 days old i.e. 13 years and 3 months old + 22 days
So as we can see that
The Joey is older as he is 13 years and 5 months old
Also the difference is of 2 months 8 days approx
So the same is to be considered and relevant
Need help :) will give brainless ⭐️!!
Answer:
The answer is B.
Step-by-step explanation:
Counted 8 down and 5 to the right.
graph the function h(x)-2x-1
Answer:
This is the graph for h(x)=2x-1
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color
Answer:
where is the practical table pic
Answer: 1:5.
Step-by-step explanation:
How can help me with it 4 x 5 - (2² - 2) =
Answer:
18 hope this makes sense
Step-by-step explanation:
2 and exponent =4 bc exponents make it multiply the same number again how ever many times is there. so it's
4 x 5 - (4 - 2)
4 x 5 - 2
20 - 2 = 18
Answer:
18
Step-by-step explanation:
Do parenthesis and get 2, then 4 x 5=20 then 20 -2= 18.
help help help help help
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]
2) (3 , -4) ; m= 3
[tex]y - y_{1} = m(x - x_{1}[/tex])
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]
[tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
x
2
−x
1
y
2
−y
1
\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}
=
3−[−6]
−5−2
=
3+6
−5−2
=
9
−7
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
If a = 10, then what is the value of 6a + 15?
Answer:
75
Step-by-step explanation:
6(10)+15
60+15
Answer:
75
Step-by-step explanation:
Substitution:
6a+15 (a=10)
6*10+15
60+15
75
What is 2 4/5 x -5 2/3
Answer:-15 13/15
Step-by-step explanation:2 4/5× -5 2/3=14/5 ×-17/3=-238/15
I need help,Please it’s due today
Answer: Sorry, I’m lazy today so I’ll just answer the first question, letter a. The answer is 30 cups of red paint.
Step-by-step explanation: Since you need 2 cups of blue paint and 4 cups of red paint, the ratio of the amount of cups you need for each paint is 1 cup of blue for every 2 cups of red. You need 15 cups of blue so you multiply it by 2 and you get 30. I hope this wasn’t confusing and I hope this helps. Please listen to you teacher because it would really help you on your work.
Log8(2)+3log8(2)+1/2log8(16)
Answer:
14.4494397919
Step-by-step explanation:
What‘s 1+1? ;);) have a good day :)
Answer: 2 :))
Step-by-step explanation: hope you also have a good day!!
Answer:
the correct answer would be 2
Step-by-step explanation:
have a good day also