Solve x∕4 + y∕3 = 1 for x.

Hey there! I'm happy to help!

PART A

Let's look at our two equations.

y=3x-5

y=6x-8

We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.

We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.

6x-8=3x-5

We add 8 to both sides.

6x=3x+3

We subtract 3x from both sides.

3x=3

We divide both sides by 3.

x=1

We can plug this x-value into either of our equations to figure out what y is.

y=6(1)-8

y=6-8

y=-2

Therefore, our solution is x=1 and y= -2.

PART B

When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).

Have a wonderful day! :D

Answer:

see below

Step-by-step explanation:

y = 3x − 5

y = 6x − 8

I will use substitution by substituting for y in the first equation

y = 3x − 5

6x -8 = 3x-5

Subtract 3x from each side

6x-3x -8 = 3x-5-3x

3x-8 = -5

Add 8 to each side

3x-8+8 = -5+8

3x =3

Divide by 3

3x/3= 3/3

x =1

Now find y

y = 3x − 5

  = 3(1) -5

  =3-5

  = -2

( 1,-2)

The two lines will intersect at ( 1,-2)

The solution to the two equations is where the lines intersect.

Answer:

The correct statment is B.

Step-by-step explanation:

A. is not correct:  y = 2.4(30) - 1.8 does not equal 70...

B. Is correct because the slope is 2.4 From the equation

C. is not correct because the points have no 2.4 (maybe 2.2)? difference.

D. is not correct. the correlation isn't positive.

Answer:

Two solutions.

[tex]x = 8, -6[/tex]

Step-by-step explanation:

Given the equation:

[tex]\left|x-1\right|=7[/tex]

To find:

Number of solutions to the equation.

Solution:

First of all, let us learn about modulus function.

[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]

i.e. Modulus function changes to positive by adding a negative sign to the negative values.

It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.

It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.

Here, the function is:

[tex]|x-1|=7[/tex]

So, two values are possible for the modulus function:

[tex]\pm(x-1)=7[/tex]

Solving one by one:

[tex]x-1 = 7\\\Rightarrow x =8[/tex]

[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]

So, there are two solutions, [tex]x = 8, -6[/tex]

Answer: It is false, the diameter is not 16 m.

Step-by-step explanation:

P 4m are 8 m are 32 m away. The diameter= 32 m.

(I hope its rights!!!)

Answer:

7

Step-by-step explanation:

If we call the number of worms in a can x, we can write:

4x + 3x + 2 + 2x = 65

9x + 2 = 65

9x = 63

x = 7 worms

[tex]g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343[/tex]

Answer:

Cylinder has a formula

π×r²×h

so of it is open

π×r²×h - π×r²

Answer:

pls give brainiest

Step-by-step explanation:

A=2πr×h(r+h)

Answer:

C) 3x - 4y = 7

Step-by-step explanation:

The midpoint of AB is

M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)

Line AB has slope:

(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3

Slopes of perpendicular lines are negative reciprocals.

A perpendicular to line AB has slope 3/4.

The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]

[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]

[tex] 4y + 4 = 3(x - 1) [/tex]

[tex]4y + 4 = 3x - 3[/tex]

[tex]3x - 4y = 7[/tex]

Answer:

C

Step-by-step explanation:

Segment joining a and b

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

For that of the perpendicular bisector...

m = 3/4

Midpoint of Segment joining a and b

([-2+4]/2 , [3-5]/2)

=(1, -1)

y=mx+c

-1=(3/4)(1)+c

c= -7/4

y=3x/4 - 7/4

4y=3x - 7

3x-4y = 7

Answer:

B. There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

B.

Step-by-step explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

Answer:

$12,750,000

Step-by-step explanation:

15,000,000 x 0.15 = 2,250,000

15,000,000 - 2,250,000 = 12,750,000

Answer:

Step-by-step explanation:

[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]

Answer:

6.71cm

Step-by-step explanation:

a²+b²=c²

6²+3²=x²

sqrt(6²+3²)=6.71

Answer:

[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]

Step-by-step explanation:

The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.

a² + b² = c²

a and b are the lengths of the legs. c is the length of the hypotenuse.

6² + 3² = x²

Evaluate.

36 + 9 = x²

45 = x²

Take the square root of both sides.

√(45) = √(x²)

6.7082039325... = x

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

Answer:

Step-by-step explanation:

Problem 14: Mean 5.5, Range: 5.8

Problem 15: question #1 4, mode: 63

Probelm 16: Median 63, Range:  8.3

Answer:

14: Mean is 5.5 Hours

Range is 7.9 Hours

15: 4 Numbers

Mode is 6.3

16: Median is 6.3

Range is 8.3

Step-by-step explanation:

(I'll edit in the explanations momentarily)

Answer:

C; B

Step-by-step explanation:

The direct/explicit formula for a geometric sequence is the following:

[tex]a_n=a(r)^{n-1}[/tex]

Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.

Therefore, to find the nth term, we just need to find the initial value and the common ratio.

1)

-8, 24, -72, 216...

The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:

[tex]r=24/-8=-3\\r=-72/24\stackrel{\checkmark}{=}-3[/tex]

So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:

[tex]a_n=-8(-3)^{n-1}[/tex]

Thus, the eighth term will be:

[tex]a_8=-8(-3)^{8-1}\\a_8=-8(-3)^7\\a_8=17496[/tex]

C

2)

Again, find the common ratio.

2, -14, 98, -686...

[tex]-14/2=-7\\98/-14\stackrel{\checkmark}{=}-7[/tex]

The common ratio is -7. The initial value is 2. Thus:

[tex]a_n=2(-7)^{n-1}[/tex]

And the sixth term will be:

[tex]a_6=2(-7)^{6-1}\\a_6=2(-7)^5\\a_6=-33614[/tex]

B

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

Answer:

The answer is A pls mark me brainly

Answer:

y * ( 6*5)

Step-by-step explanation:

(y x 6) x 5

We can change the order of multiplication by changing where the parentheses are placed using the associative property

y * ( 6*5)

Answer:

The answer will be Y*(6*5)

Step-by-step explanation:

this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5

Answer: 1: Slope 0   Y- Intercept -5

2: Slope 0    Y- Intercept 6

Step-by-step explanation:

Answer:

The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept

Step-by-step explanation:

So I think that the answer would be this, which means answer 1!! Hope this helps

Answer:

x=0

Step-by-step explanation:

in the quadratic formula to only have one solution

[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]

so we have

[tex]ax^2+b=c[/tex]

[tex]ax^2+(b-c)=0[/tex]

if we insert in the formula we have

[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]

[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0

[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]

Answer:

-2

Step-by-step explanation:

slope: (y² - y¹) / (x² - x¹)

(-1 - 1) / (1 - 0) = -2 / 1 = -2

y = -2x + b

plug in an (x, y) value to find b

1 = -2(0) + b

1 = -2 + b

b = 3

y = -2x + 3

rate of change is -2

Answer:

-2

Step-by-step explanation:

Answer:

Yes, because the P(A)P(B) = P(A and B)

Step-by-step explanation:

Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;

P(A and) = P(A)P(B)

Given: P(A) = watching a movie = 62% = 0.62

P(B) = going out to dinner = 46% = 0.46

The probability of watching a movie and going out to dinner will be

P(A and B)

P(A and B) = 0.62×0.46

P(A and B) = 0.2852

P(A and B) = 28.52%

Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.

Answer:

Z=101

Step-by-step explanation:

A=2

B=3

C=5

D=7

E=11

F=13

From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.

Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.

Therefore,

G=17

H=19

I=23

J=29

K=31

L=37

M=41

N=43

O=47

P=53

Q=59

R=61

S=67

T=71

U=73

V=79

W=83

X=89

Y=97

Z=101

Answer:

slope is 5

Step-by-step explanation:

y = 5x

This is in the form

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

The slope is 5 and the y intercept is 0

Answer: 192

Step-by-step explanation:

Use algebra

x + 3x + x + 3x = 64 (perimeter)

Combine Like Terms

8x = 64

x = 8

8 + 24 + 8 + 24 = 64

24/8 = 3

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

To know more about functions follow

https://brainly.com/question/2833285

#SPJ2

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Correlation Coefficient (r) = 0.989

alph=0.05

Number of observations (n) = 8

determine if there is a linear correlation between chest size and weight.

Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.

What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?

To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.

r^2 = square of the correlation Coefficient

r^2 = 0.989^2 = 0.978121

Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]

Thank you

Answer:

The first one is the only function

Step-by-step explanation:

You cannot have points on the same y gridline

If it is a function is has to pass the pencil test

Answer:

[tex]\boxed{Graph A.}[/tex]

Step-by-step explanation:

Hey there!

Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.

Hope this helps :)