17
Ax+2y=12
8x +32 y=144
For what value of A will the system of equations above
have no solutions?

Answers

Answer 1

Answer:

Hello,

a=0.5

Step-by-step explanation:

[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]

[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]

else\

[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]


Related Questions

Write the polynomial in standard form 8-5x+x^3-2x^4

Answers

Answer:

-2x^4+x^3-5x+8

Step-by-step explanation:

8-5x+x^3-2x^4

Write the polynomial from highest powers of x to lowest

-2x^4+x^3-5x+8

Is 9/72 rational or irrational

Answers

i think answer is rational

Answer:

Rational

Step-by-step explanation:

The Numerator and Denominator is a whole number and its a fraction

Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.

Answers

Answer:

C. Yes; the graph passes the vertical line test.

Step-by-step explanation:

Reasons the others are wrong:

A. It does pass the vertical line test.

B. Y-values can have any x values. It is x-values that can't have multiple y-values.

D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.

The functions f and g are defined as follows.

f(x) = 2x^3+ 2 g(x) = 2x-3


Find f(-4) and g(-7).

Simplify your answers as much as possible.

Answers

1. F(-4)= 2(-4^3) + 2
F(-4)= 2(-64) +2
F(-4)= -128 +2
So F(-4)= -126 is your answer
2. G(-7)= 2(-7)-3
G(-7) = -14 -3
So G(-7)= -17

Hope this helps

Write 0.2 repeating as a fraction in simplest form (The 0.2 is repeating, so the 2 has the repeating bar above it, just need someone to solve this, it would help a lot thanks.)

Answers

If x is the number 0.222…, then 10x = 2.222…. Subtracting x from 10x eliminates the fractional part, so that

10x - x = 2.222… - 0.222…

==>   9x = 2

and solving for x gives x = 2/9.

Which of the following is equivalent to 0.00451?
A. 4.51x10^-3
B. 45.1x10^-3
C. 0.451x10^-3
D. 4.51x10^-2

Answers

Step-by-step explanation:

0.00451

[tex] = \frac{451}{100000} [/tex]

[tex] = \frac{4.51}{1000} [/tex]

[tex] = \frac{4.51}{ {10}^{3} } [/tex]

[tex] = 4.51 \times {10}^{ - 3} (option \: a)(ans)[/tex]

The required scientific notation  is A. 4.51x10⁻³  is equivalent to 0.00451. It's in scientific notation where 4.51 is between 1 and 10, and -3 is the exponent representing the decimal shift.

In scientific notation, a number is written in the form of "a × 10ⁿ" where "a" is a number between 1 and 10 (including 1 but excluding 10), and "n" is an integer exponent.

The goal is to represent the number in a more compact form using powers of 10.

0.00451

To express this in scientific notation, we need to find "a" and "n" such that "a × 10ⁿ" equals 0.00451.

The option A, 4.51 × 10⁻³ is the correct choice because:

"a" is 4.51, which is between 1 and 10.

"n" is -3, as we are shifting the decimal point three places to the left to convert 0.00451 to 4.51 × 10⁻³.

Therefore, 0.00451 is equivalent to  scientific notation option A. 4.51 × 10⁻³, which is option A.

learn more about  scientific notation here

brainly.com/question/19625319

#SPJ3

How do I do question 2?

Answers

Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

Three is subtracted from a number, and then the difference is divided by eleven. The result is twelve. What is the
number?

Answers

Answer:

The number is 135.

Step-by-step explanation:

1) Form an equation

Three is subtracted from a number

⇒ [tex]x-3[/tex] (where x is "the number")

The difference is divided by 11

⇒ [tex]\displaystyle \frac{x-3}{11}[/tex]

The result is 12

⇒ [tex]\displaystyle \frac{x-3}{11}=12[/tex]

2) Solve the equation

[tex]\displaystyle \frac{x-3}{11}=12[/tex]

Multiply both sides by 11

[tex]\displaystyle \frac{x-3}{11}*11=12*11\\\\x-3=132[/tex]

Add 3 to both sides

[tex]x-3+3=132+3\\x=135[/tex]

Therefore, the number is 135.

I hope this helps!

If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there

Answers

G all please come to mpu-xcny-did
Brlll me to. Roy. Rid f ti

Which inequality represents all possible solutions of 4≤−3x−2 or 5x+1≥16?

Answers

Please my answer, hope it’s help

The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.

Answers

Answer:

Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)

Step-by-step explanation:

Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].

Circumference of this wheel:

[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].

Distance travelled in one hour:

[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].

Number of revolutions required for covering that distance:

[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].

Convert 1 Iinto an improper fraction.

Answers

Answer:

only mixed number can be changed into improper fraction according to my khowlage of grade7

Step-by-step explanation:

thank you

please help me is for my homework​

Answers

Answer:

96% Davided by a 100.

Step-by-step explanation:

96/100

= 0.96

Inverse proportion
fourteen people could paint 35 identical plates in 2 hours
At this rate, how long would it take 20 people to paint 60 identical plates?
I know answer I just need explanati
:]

Answers

Answer:

let the number of plate be n,rate be r and number of people be p

P=K(constant)/(n*t)

K=PNT

K=14*35*2

K=980

T=(K)/(PN)

T=980/(20*60)

T=980/1200

T=0.817 hours=49 minutes.

write in the form of p/q, 0.785 (bar on 85)
please to spam anything except answer....TOMORROW EXAM ​

Answers

The expression of 0.785 in the form p/q is 157/200

The ratio is defined as a way of dividing a variable by another variable.

For instance, p/q  can be described as the ratio of p to q where p and q are integers.

Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)

0.785 = 785/1000

Express in its simplest form

785/1000 = 157/200

Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.

Learn more on ratio here: https://brainly.com/question/19473677

y = 2x + 5
2x + y = 4
solve the equation

I WILL MAKE U BRAINIEST

Answers

2x + y=4
So, 2x+2x+5=4
x=-1/4
y=2x+5=9/2

Geometry, please answer question ASAP

Answers

Answer:

Triangle ACB =~ triangle DFE, by adding 6 units to each side of both triangles their relationship will not change. They are still similar.

Step-by-step explanation:

The answer isn't great in all honesty but it's been a long time since I took geometry and I don't 100% remember the proper way of stating it. Though I am 100% sure they stay similar.

Sorry couldn't be of more help but figured something was better then nothing

Writing equations in standard form:

(1,-6) and (-7,2)

How would I write this in standard form? I already tried but I keep getting x+y=7 and it says it’s wrong so could someone help?

Answers

Answer:

[tex]x + y = - 5[/tex]

Step-by-step explanation:

hopefully it is clear and makes sense

:)

If x-6,x-2 and x+10 are three consecutive terms of a geometric progression,find the value of x​

Answers

Step-by-step explanation:

let the common ratio be r

(x-6)r=(x-2)

(x-2)r=(x+10)

r = (x-2)/(x-6)

and r = (x+10)/(x-2)

so, (x-2)/(x-6)=(x+10)/(x-2)

sloving it, you'll get x=8

so the value of x is 8

An angle measures 2 more than the measure of its complementary angle

Answers

Answer:

let x be the complementary angle

then x + 2 is the angle

x+2 +x =90

2x = 88

x = 44°

x + 2° = 46°

Find the value of x to the nearest tenth. *Will Give Brainliest*

Answers

Answer: x = 8.77

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

4²+5² = h²

41 = h²

h = √41

Therefore two sides of the rectangle will √41

No using pythagoreus theorem in the bigger triangle

6² + (√41)² = x²

x² = 36+41

x² = 77

x = √77

x = 8.7749643874

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 8.77

Please click thanks and mark brainliest if you like

Answer:

x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer

What is the product of
-3/5 and -1 4/8

A) 90
B) -.9
C)0.9
D)-9

Answers

0.9
Hope this helps :)
-(3/5)-(1 4/8) =
-(3/5) - (12/8)= (-)(-)=+
3/5+12/8 =
(3*12)/(5*8) =
36/40 =
9/10 = 0.9
Answer: 0.9

Which of the following equations is of a parabola with a vertex at (3, 0)?

y = (x - 3) 2
y = (x + 3) 2
y = x 2 - 3
y = x 2 + 3

Answers

The answer is y = (x - 3)^2.

I hope this helps! Please give brainliest.

HELP PLEASE!! ASAP
If triangles ABC and DEF are similar, what is y? Show your work.


Answers

If both triangles are similar then ratio of sides will be same.

[tex]\\ \sf\longmapsto \dfrac{12}{14}=\dfrac{y}{21}[/tex]

[tex]\\ \sf\longmapsto 12(21)=14y[/tex]

[tex]\\ \sf\longmapsto 14y=252[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{252}{14}[/tex]

[tex]\\ \sf\longmapsto y=18[/tex]

Answer:

y = 18

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are in proportion, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] , substitute values

[tex]\frac{y}{12}[/tex] = [tex]\frac{21}{14}[/tex] ( cross- multiply )

14y = 252 ( divide both sides by 14 )

y = 18

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

I think it is segment...........

It is endpoints for sure as the two endpoints make a line. Pls mark me brainliest

17. what is the equation of the line with…

Answers

Answer:

[tex]y=\displaystyle \frac{1}{2}x+1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :

[tex]y=mx+1[/tex]

Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:

[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:

[tex]y=\displaystyle \frac{1}{2}x+1[/tex]

I hope this helps!

What is the correct answer to this multiple choice question? Please help!

Answers

Answer:

[tex]\sqrt[3]{4}[/tex]

Step-by-step explanation:

To solve this we need to take the square root of both sides with a certain degree.

[tex]4^6 = a^{18}[/tex]

We can take the root of both sides with a degree of 18.

[tex]\sqrt[18]{4^6} = \sqrt[18]{a^{18}} \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}[/tex]

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15

How do you fine the answer ? Help me pls

Answers

Answer:

130

Step-by-step explanation:

Ms. Jones has 108 inches of wood. It takes 18 3/8inches to make a picture frame. How many picture frames can she make?

Answers

You’ll basically would need to divide 108 by 18 3/8.

108 / 18 3/8= 5.87

We round the number down to 5 because that the amount of frames we can actually make.

Answer: 5

I need help right now!!!ASAP

Answers

Answer:

Points Q, J and M are not collinear

Step-by-step explanation:

Three points cannot be collinear if they are not coplanar (on the same plane), and M is on a different plane than Q. J is located on both planes.

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