Answer: b=6
Step-by-step explanation:
I hope this helps on edge
To make the system have an infinite number of solutions, the value of b can be any real number.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.
So,
Let's rearrange the given equations into the slope-intercept form:
y = 6x - b _____(1)
3x + 12y = -3 ______(2)
-3x + y = -3 ______(3)
From equation (3),
y = 3x - 3 _______(4)
Now,
We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.
Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.
So,
2(3x - 3) - b = 6x - b
Simplifying this expression.
6x - b = 6x - b
Since this equation is true for any value of x and b, we have an infinite number of solutions.
Therefore,
To make the system have an infinite number of solutions, the value of b can be any real number.
Learn more about solutions of equations here:
https://brainly.com/question/545403
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A rectangular pool has a length of 200 ft. You're building a model. Using a scale
factor of 1725, what is the scale length of your model? *
Answer:
1.4 inches.
Step-by-step explanation:
Given that the length of the pool = 200 ft.
Scale factor = 1725.
As,
[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]
So,
[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]
By using the given values, we have
{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]
As 1 foot = 12 inch,
So, scaled length = 0.116 x 12 = 1.4 inches.
Hence, the scale length of the model = 1.4 inches.
Solve the following expression: (9 x 10) - (30 + 30). Show all steps taken.
Answer:
First multiply each brackets
90-60
30
Step-by-step explanation:
Answer:
9 x 3= 27 and 30 + 30= 60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.
Step-by-step explanation:
Hope that answers your question!
Manny must choose between a pack of four 6.5-ounce containers of yogurt for $3.61 or three 8-ounce containers at $1.27 each. Which is the better buy? Complete the explanation. If necessary, round to the nearest cent.
Answer: Three-8 ounce containers
Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers
4 x 3.77 divided by 0.6= $15.08
What is the value of 15/2+I?
Answer:
First, make the denominators
15/2+2/2
Then, add
17/2
If you want it in decimal points
8.5
Step-by-step explanation:
I hope I explained well, please give me brainliest
Explain to me in words how you would find the slope of this line and explain answer
X - 2
x2-2x + 3
4.
x + 3
x + 3
Answer:
The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:
________
x+2√x2 -2x -3 how many times does x go into x2 , x times
x - 4 ______
x+2√x2 - 2x -3 multiply x by x + 2 and create the next row
-(x2 )
-4x - 3 bring down the -3 and repeat first step. how many times does x go into -4x, -4 times
-(-4x - 8) multiply x + 2 by -4
5 (this is the remainder but it must be in the form 5/(x+2)
so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".
Step-by-step explanation:
Copied this from wyzant.com.
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z
Answer:
5
Step-by-step explanation:
12 x - 3y / 4 x - Z
=12×3-3×1/3÷4×3-5
=36-1/12-5
=35/7
=5
So the final answer is 5.
Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
Sorry I cant help
Step-by-step explanation:
Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28
Answer: 49
see below for work
Answer:
gang gang
Step-by-step explanation:
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023
Answer:
Option C: 0.7734
Step-by-step explanation:
From z-distribution table attached,
P(Z ≤ -0.75) = 0.2266
However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.
Thus;
P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266
P(Z > -0.75) = 0.7734
Option C is the correct answer.
Find the missing measure and write your solution on the blank provided
Answer:
5: c=65 d=125 e=60
6: c= 58 d= 121 e=63
7. a=55 b=64 c=61
8. a=61 b=55 c=64
Step-by-step explanation: :)
Please answer i wanna get this over with h ^-2 / h ^4
Answer:
= h^-6
Step-by-step explanation:
When dividing powers you subtract them (indices rules)
--> -2 - 4 = -6
Hope this helps, please mark as brainliest
-3a - 4(a - 6) = 24 - 7a
Solve the equation
Thanks
-3a-4(a-6)=24-7a
-3a-4a+24=24-7a
-7a+24=24-7a
-7a+24=-7a+24
-7a+24-24=-7a+24-24
Simplify
Subtract the numbers
Subtract the numbers
−7a=-7a
Add 7a to both sides of the equation
-7a+7a =-7a+7a
Simplify
Combine like terms
Combine like terms
0=0
answer is 0=0
What is the inequality of y-2x<=-3
41 divide by 278.8 hi my name chavoria
Can anyone help me with this i need help quick
Answer:
C
Step-by-step explanation:
y=mx+n m is slope if slopes are perpendicular m1.m2=-1
(2/3) . (-3/2) = -1
m1=2/3
m2=-3/2
y=(2/3)x-3 m=2/3 n= -3
y=(-3/2)x+2 m = -3/2 n = 2
Please help & thank you.
Answer:
2). 79°; 3). 65°; 4). 45°; 5) 73°
Step-by-step explanation:
m∠4 = 180° - (70° + 65°) = 45°
m∠3 = 180° - (45° + 70°) = 65°
m∠2 + m∠3 = 180° - 36° = 144°
m∠2 = 144° - 65° = 79°
m∠5 = 118° - m∠4 = 118° - 45° = 73°
5(x+2) - 3 = 2x + 7 + 3x *
One Solution
No Solution
Infinitely Many Solutions
5x + 27x - 10 = 8(4x +10)
One Solution
No Solution
Infinitely Many Solutions
(39×5) to siplifiy please help
Answer:
195
Step-by-step explanation:
you just muliply
Answer:
The answer is 175! :)
I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))
Step-by-step explanation:
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB and point Q lies on CD.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
A.) QD≅QO
B.) OP≅AB
C.) CD≅AP
D.) OP≅OQ
The answer is D.) OP≅OQ
I hope this is the right graph
I WILL GIVE BRAINLIEST ONLY IF YOU ANSWER WELL
Which expression uses the commutative property to make it easier to evaluate 3/5·1/4·25
A.25·4·3/5
B.5/3·25·1/4
C.3\5·25·1\4
D.3/5·1/25·1/4
Answer:
I dont know im in middle school can you please giva me one i have to get my grades up
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
3
5
(1)
4
(25)
=
3
5
4
(25)
=
3
20
(25)
=
15
4
12(x-6)and 14(x+14).
plz help
Answer:
138 and 210?
Step-by-step explanation:
Liam solved the equation 72=8⋅b. His work is shown. What error did Liam make?
what is 3 divided by 57.6
Answer:
0.0520833333 is the answer
Answer:
0.05208333333 (reoccurring)
Step-by-step explanation:
Simple bus stop division (:
PLEASE HELP!!!!!
What is the result when the number 59 is decreased by 7%?
Answer:
= 59 - (59*0.07)
= 59 - 4.13
= 54.87
Answer:
The result would be 54.87
For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5
Answer:
the answer is b
Step-by-step explanation:
Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20
If x is the principal square root of 7, what must be true.
A. x = 7², and x is negative
B. x² = 7, and x is positive
C. x = 7², and x is positive
D. x² = 7, and x is negative
Answer:
B
Step-by-step explanation:
x=√7
squaring
x²=7
Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?
Step-by-step explanation:
1.
the null hypothesis:
H0: u = 8 hours ( new Yorkers sleep for 8 hours)
The alternate hypothesis;
H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)
b.
test statistic
t = (barX - u)/s/√n
= 7.73-8/0.77/√25
= -1.7532
degree of freedom = n-1
= 25-1 = 24
c.
p(value)
= p(t < -1.7532)
= 0.046
obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.
d
The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.
e.
at 90% level of confidence
we have
7.73-0.26334, 7.73+0.26334
= 7.466, 7.993
please check attachment
thank you!