Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answers

Answer 1

Answer:

6 is not a solution to the given equation.

Step-by-step explanation:

We are given the equation [tex]x^2-4=5x[/tex]

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

[tex]x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30[/tex]

As 32 ≠ 30, 6 is not a solution to the given equation.


Related Questions

Find a value for Ф in radians between 2π² if sin(Ф) = -1/2 and cos(Ф) = √3/2 (Unit Circle)

Answers

Answer:

This is the angle in the angle in the fourth quadrant that verifies the given conditions:

[tex]\phi =\frac{11\, \pi}{6} \\[/tex]

Step-by-step explanation:

Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.

Also, the angle that renders

[tex]sin(\phi)=-\frac{1}{2}[/tex]

in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]

for such angle, also :

[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]

which verifies the second condition.

What is the slope of the line that passes through the points (6,-10) and
(3, -13)? Write your answer in simplest form.​

Answers

Answer:

1

Step-by-step explanation:

The slope intercept form for this problem is y = x - 16

Find the slope of the line that passes through (3, 2) and (10, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

m=1/7x

Step-by-step explanation:

Answer:

[tex] slope= \frac{1}{7} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!



Which shows the fractions in order from greatest to least?

A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7,4/9,3/6
C. 3/6, 4/7,4/9,3/10
D. 3/10, 4/9,3/7,3/6

Answers

Answer:  A

Step-by-step explanation:

3/6= 0.5

4/9= 0.444

3/7= 0.428

3/10= 0.3

0.5 > 0.444....> 0.428 > 0.3

The best and correct answer that shows the fractions in order from greatest to lease is Answer choice A which is 3/6, 4/9, 3/7, 3/10 Because it makes sense

one x intercept for a parabola is at the point (1,0). use the factor method to find the other x intercept for the parabola defined by y=-5x^2+15x-10

Answers

First simplify the equation of parabola y=-5x^2+15x-10 in the following way:

D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).

You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

WILL GIVE BRAINLIEST
If b^2-4ac>0, which of the following conclusions can be made about the graph of ​f(x)=ax^2+bx+c, a≠0?
a. The graph has two distinct​ x-intercepts.
b. The graph has three distinct​ x-intercepts.
c. The graph has no​ x-intercepts.
d. The graph has one​ x-intercept.

Answers

Answer:

c. The graph has no​ x-intercepts.

Step-by-step explanation:

because it will never touch the x axis

A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]

The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts

There are three possible roots of a quadratic function

Complex rootsDistinct real rootsRepeated real roots

When [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:

The function has distinct real roots

In other words, the function has 2 different values of x

This implies that,

The function crosses the x-axis two times

When the function cross the x-axis, it means that the function has an x-intercept

Hence, the conclusion is:

a. The graph has two distinct​ x-intercepts.

Read more about quadratic functions at:

https://brainly.com/question/23033812

Write 240 as a product of primes. Use index notation where appropriate.

Answers

Answer:

2^4x3x5

Step-by-step explanation:

240=2x120

120=2x60

60=2x30

30=2x15

15=3x5

y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.

Answers

Answer:

4

p= √(y-qr)

Step-by-step explanation:

y=p² +qr

p= -5, q=3, r= -7

y= (-5)²+3*(-7)= 25- 21=4

p²= y - qr

p= √(y-qr)

plz can someone help me with this plzz​

Answers

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

Cheap and fast gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample? Interviewing every 5th customer to come into the station

Answers

What is the second option you only gave us one option?

Find the slope of the line will mark as brain
y
=
–9
4
x

1
4
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer negative 9 is the answer

Step-by-step explanation:

Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4

Answers

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4

Answers

Answer:

the answer is graph 1


The graph of a line goes through the points (-4,3) and (6,8). What is the equation
of the line in slope-intercept form?

Answers

Answer:

y = 1/2x+5

Step-by-step explanation:

You have two points so you can find the slope

m = (y2-y1)/(x2-x1)

m = (8-3)/(6 - -4)

   (8-3)/(6+4)

    5/10

 1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

8 = 1/2(6)+b

8 = 3+b

b=8-3 = 5

y = 1/2x+5

What is the probability of a number less than 4 showing when a number cube is rolled?

Answers

Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

_____ is a gas giant, an "ice giant," and orbits the Sun like a rolling ball (since its axis is greatly tilted). A. Saturn B. Jupiter C. Uranus D. Neptune

Answers

The answer is C, Uranus

what is the equation of the following line? be sure to scroll down first to see all answer options

Answers

Answer:

The equation for the following graph:

[tex]y = -\frac{1}{5}x[/tex]

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)

-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

Then, you solve:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

[tex]m = -\frac{1}{5}[/tex]

After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:

[tex]y - y_{1} = m ( x - x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

Then, you solve:

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

[tex]y - 0 = -\frac{1}{5}x - 0[/tex]

[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]

[tex]y = -\frac{1}{5}x[/tex]

So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73

Answers

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

as an estimation we are told 5 miles is 8km. Convert 84 km to miles

Answers

Answer:

52.195 miles

Step-by-step explanation:

84 km to miles is 52.195 miles

if f(x) =5x-2 and g(x) = 2x +1 find(f+g)(x)

Answers

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f + g)(x) = (5x - 2) + (2x + 1)

Combine like terms.

(f + g)(x) = 7x - 1

So, (f + g)(x) equals 7x - 1

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

A Car travels 42 km
On 7 litres of petrol. How long will it travel
on 12 litres of petrol.​

Answers

Answer:

The answer is 72

Step-by-step explanation:

You'll do 42 divided by 7 times 2

42/7x2

Hope it helps.

A car travels 72 km on 12 liters of petrol.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

A Car travels 42 km on 7 liters of petrol.

Now,

Since, On 7 liters of petrol a car travel 42 km

Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7

                                                                             = 6 km

So, On 12 liters of petrol distance cover by a car = 6 × 12

                                                                           = 72 km

Thus, A car travels 72 km on 12 liters of petrol.

Learn more about the division visit:

https://brainly.com/question/28672455

#SPJ2

What is the value of x?

Answers

Answer:

x =40

Step-by-step explanation:

x and 4x-20 form a straight line which means they add to 180

x+4x-20 = 180

Combine like terms

5x -20 =180

Add 20 to each side

5x = 200

Divide by 5

5x/5 = 200/5

x =40

Answer:

it just looks confusing sry

Step-by-step explanation:

but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck

Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?

Answers

Answer:

65p

Step-by-step explanation:

375 divided by 750=0.50

0.50+15=65p

Answer:

0.65

Step-by-step explanation:

750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65

Use the synthetic division shown to help factor the polynomial and solve the equation.
What are the solutions of the equation?


1, 4, and –5

1, –4, and 5

–1, –7, and 3

–1, 5, and 9

Answers

Answer:

1. x = -5 and x = 1

2. x = 5 and x = -1

3. no integral solutions

4. no integral solutions

Step-by-step explanation:

Answer:

1, 4, and –5

Step-by-step explanation:

on edge

Complete the equation of the line through (–6,5) and (-3, -3).
Use exact numbers.

Answers

Answer:

-3, -3

Step-by-step explanation:

gbhujiklbvnhjkml dxfcgvhj

Answers

Answer:

C.  2 1/2

Step-by-step explanation:

Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.

-4 - 6 1/2 = -10 1/2

-4 + 6 1/2 = 2 1/2

Looking at the answer choices, 2 1/2 can represent point Q.

Plzzzzzz help me.......

Answers

Answer: 4 terms and 8 factors

Step-by-step explanation:

^

A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.
What is the slope of the line shown in the graph ?

Answers

Answer:

A. -400

Step-by-step explanation:

Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;

slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0

slope = [tex]\frac{0-4000}{10-0}[/tex]

[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]

The slope of the line is a negative slope and it is -400

Answer: A. -400

Step-by-step explanation:

just had this and got in correct

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