Solve: 8x+14y=4 6x+7y=10

Answers

Answer 1

Answer:

Therefore, x = 4 and y = -2.

Step-by-step explanation:

The steps are ;

[tex]8x + 14y = 4[/tex]

[tex]2(4x + 7y) = 4[/tex]

[tex]4x + 7y = 2 - - - (1)[/tex]

[tex]6x + 7y = 10 - - - (2)[/tex]

[tex](2) - (1)[/tex]

[tex]6x - 4x = 10 - 2[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

[tex]sub \: x = 4 \: into \: (1)[/tex]

[tex](1)⇒[/tex]

[tex]4(4) + 7y = 2[/tex]

[tex]16 + 7y = 2[/tex]

[tex]7y = - 14[/tex]

[tex]y = - 2[/tex]


Related Questions

Which percentage is the same as 3.21

Answers

Answer:

321%

Step-by-step explanation:

hope I helped Kkkkkkkk

-2(a-7)-3a>-31 help pls

Answers

Answer:

The correct answer is,

a<9

PLEASE HELP I NEED HELP ASAP
What is the equation of a line perpendicular to y=x+12 that passes through (12,3) ?

I KNOW THE STEPS BUT I NEED TO KNOW IF M = 1 in y=mx+b

Answers

Answer:

[tex]y=-x+15[/tex]

Step-by-step explanation:

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Any line perpendicular to a given line with slope [tex]m[/tex] has a slope of [tex]-\frac{1}{m}[/tex]. Therefore, the slope of a line perpendicular to [tex]y=x+12[/tex] is [tex]-\frac{1}{1}=-1[/tex].

We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:

[tex]3=-1(12)+b,\\b=15[/tex]

Therefore, the equation of the line that is perpendicular to [tex]y=x+12[/tex] and passes through the coordinates [tex](12,3)[/tex] is [tex]\fbox{$y=-x+15$}[/tex].

simplify it using order of operations



Answers

Answer:

=106

Step-by-step explanation:

PMDAS

First thing you do is the parenthesis

6+4(5)^2

then the exponent

6+4(25)

then multiply

6+100

then add

106

Hope this helps (:

Answer:

150

Step-by-step explanation:

First do what is in the parenthesis:

(2+3)

(6)

Then exponents:

[tex](6)^{2}[/tex]

(36)

Then Multiplication:

4(36)

144

Then Add:

144+6

150

is the following relation a function?

Answers

answer
yes
explanation try the ve.rtical line test

Help.
Please show workings.
See image for question.

Question :
1. Find the gradient of the tangent to the curve y = 2x²+5x-3 at the point where x = 1.

2. Find from first principle, the derivative of 3/x with respect to x​

Answers

Answer:

dy/dx

= d/dx [2x² + 5x - 3]

= 4x + 5.

Hence at x = 1, dy/dx = 4(1) + 5 = 9.

The slope of the tangent is 9.

d/dx (3/x)

= d/dx (3x^-1)

= 3 * d/dx (x^-1)

= 3 * [-1 * x^(-2)]

= -3/x².

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

0+2+-4=-2

Step-by-step explanation:

0+2-4=-2

Step by step explanation :
I believe this is right sorry if i’m wrong

Solve for a sqrt(a - b + c) = 3

Answers

[tex]\bold{\sqrt{a-b+c}=3 }[/tex]

[tex]\bold{(\sqrt{a-b+c)}^2=3^2 }[/tex]

[tex]\bold{ a-b+c=9 }[/tex]

[tex]\bold{ a=9+b-c }[/tex]

I dont understand pls help me

Answers

Answer:

-1/3

Step-by-step explanation: it goes downwards from left to right so it is a negative and to reach the next line below it, it went to the right 3 units.

Therefore it is -1/3 :)

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?

Answers

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

Easy area question

Need fast

Answers

Answer:

Ah I see it's the same it's a little more complex but I can do this as well.

But I can't type bcoz it will make it slow

so I'll write for this.ß

82% of 23.7 is what ?
a)28.9
b)146.9
c)1943.4
d)19.4
*with work done plz:)

Answers

Answer:

the answer is C

Step-by-step explanation:

hope this helps you

.82×23.7=19.434

Answer:

D

Step-by-step explanation:

step 1: Simplify 82/100 to its simplest form to by two to get 41/50

Step 2: multiply 41 by 23.7

41×23.7= 1971.7

Step 3: Divide 1971.7÷50=19.434

to the nearest hundredths =

19.4

BRAINLIEST! URGENT! If you can answer this, please help. If you can explain how you got that answer, I will mark you Brainliest.​

Answers

Answer:

[tex]\mathrm{A.\:}x+2y=a[/tex]

Step-by-step explanation:

In standard form [tex]ax+by=c[/tex], any point the line passes through will make the inequality true. We can simply use any point given to find the equation of the line:

We can write the following system of equations from two points from the table:

[tex]\begin{cases}d\cdot3a+e\cdot(-a)=f\cdot a\\d\cdot5a+e\cdot(-2a)=f\cdot a\end{cases}[/tex]

Solving, we get:

For [tex]a \notin 0[/tex],

[tex]d=1,\\e=2,\\f=1[/tex]

Therefore, our equation is:

[tex]dx+ey=fa,\\1x+2y=1a,\\\fbox{$x+2y=a$}[/tex].

Find the slope of the line whose equation is 7x - 2y = 4.
-2
7/2
4/7

Answers

Answer: 7/2

To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.

solve the system of equations y = -2x and y = x - 3 what is the y value of your solution

Answers

I’m not sure of the answer

The average price of a movie ticket in 20 years will be at least $6 less than seven-thirds of today’s average ticket price. What could be the price of a movie ticket in 20 years if the current average price is $8.70? (Write an inequality or equation and solve it)

Answers

Answer:

This was on my test

Step-by-step explanation:

lol

I need help asapp pls

Answers

B b b b b b b b b b b

Find the value of x in the given right triangle.


DECIMAL FORM ROUNDED TO THE NEAREST TENTH !

BRAINLEST to whoever right.

Answers

Answer:

The value of x = 65.4°

Step-by-step explanation:

Given

hypotenuse = 12

To determine

The value of ∠x = ?

Using the trigonometric ratio

cos x = adjacent / hypotenuse

here:

Adjacent of angle ∠x = 5hypotenuse  = 12

substituting adjacent = 5, hypotenuse = 12 in the formula

cos x = adjacent / hypotenuse

cos x = 5 / 12

x = arccos (5/12)

x = 65.4°

Therefore, the value of x = 65.4°

Answer:

The answer is 65.3 to the nearest tenth

Step-by-step explanation:

You'll use the Pythagoras theorem to find the unknown side first

then you'll use the sin rule to solve for x

Find the domain for the rational function f of x equals quantity x minus 1 end quantity divided by quantity x plus 3 end quantity.

(−∞, 1) (1, ∞)
(−∞, −1) (−1, ∞)
(−∞, 3) (3, ∞)
(−∞, −3) (−3, ∞)

Answers

Answer:

[tex]\mathrm{Domain\:of\:}\:\frac{x-1}{x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:x>-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, the 4th option i.e. (−∞, −3) (−3, ∞) is the correct answer.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=\frac{x-1}{x+3}[/tex]

We know that the domain is the set of all the input or argument values for which is the function is real and defined.

From the given expression, we need to make sure the denominator of a rational function can be anything but 0, because 0 would make the function undefined.

Thus, we need to find undefined points such as:

x+3 = 0

x = -3

Therefore, the function domain must be:

x < -3 or x > -3

In other words,

[tex]\mathrm{Domain\:of\:}\:\frac{x-1}{x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:x>-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, the 4th option i.e. (−∞, −3) (−3, ∞) is the correct answer.

24
Select the correct answer.
What is the slope of the line that goes through the points (-1,4) and (14,-2)?
OA -13/6
OB -6/13
ОC -5/2
OD -2/5


Answers

m= -2/5
D is the answer
d!!! i think. not sure

Which expression is equivalent to -8(10x-3)
(SHOW WORK)

Answers

Answer:

240

Step-by-step explanation:

-8(10×-3)

(10×3)=30

30×-8=240

Which algebraic expression represents this mathematical statement? 32 more than a number

A. m
B. s
C. d
D. x

Answers

A.m which is an algebraic expression represents the mathematical statement 32 more than a number

X + 2 = 5
And help me plssssssssssssss

Answers

Answer:

x equals 3 so multiply 3x3 and it will give you 9 and add that to 6 and you get 15. x equals 3 for the one that equals 5.

Answer:

3x + 16 = 15

3x = 15-16

3x = -1

x = -1/3

how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )

Answers

Answer:

the first step in solving an equation with a variable on each sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

Step-by-step explanation:

Find the x in the following triangle
I’ll give brainliest

Answers

Answer:

78

Step-by-step explanation:

use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots.​ must be right ty helppp asap

Answers

Answer:

[tex]k>-3[/tex]

Step-by-step explanation:

We have the equation:

[tex]-3x^2-6x+k=0[/tex]

Where a = -3, b = -6, and c = k.

And we want to determine values of k such that the equation will have real, unequal roots.

In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:

[tex]b^2-4ac>0[/tex]

Substitute:

[tex](-6)^2-4(-3)(k)>0[/tex]

Simplify:

[tex]36+12k>0[/tex]

Solve for k:

[tex]12k > -36[/tex]

[tex]k>-3[/tex]

So, for all k greater than -3, our quadratic equation will have two real, unequal roots.

Notes:

If k is equal to -3, then we have two equal roots.

And if k is less than -3, then we have two complex roots.

The diagonal shortcut across a rectangular parking lot is 169 feet long. The lot is 144 feet wide. What is the length of the lot?
11.0 feet

25.5 feet

88.5 feet

110.5 feet

Answers

Answer: I think it is 25.5ft

Solve for y: 2x^2+2y=4x+2x^2-7. Show your work

Answers

Answer:

y = 2x - 3.5

Step-by-step explanation:

2x² + 2y = 4x + 2x² - 7

2y = 4x + 2x² - 7 - 2x²

2y = 4x - 7

y = (4x - 7) / 2

y = 2x - 3.5

2x² + 2y = 4x + 2x² - 7

4x + 2y = 4x + 2x² - 7

4x + 2y = 4x + 4x - 7

4x+2y=8x-7

2y = 4x - 7

Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true

Answers

Answer:

[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]

1. i will give you brainliest if ur right

Answers

Answer:

the answer of this question is......

I think 134

but I can't explain that

I'm so sorry

:-/

Answer:

141

Step-by-step explanation:

This is a seven-sided pentagon. We can find the total sum of all the angles in the pentagon first.

Sum of angles in a pentagon = (7-2) × 180

                                                = 5 × 180

                                                = 900

∠B = 900 - 148 - 90 - 142 - 130 - 129 - 120

     = 141

Remember:

Formula of sum of angles in pentagon = (n-2) × 180 where n is the number of sides the pentagon has. Hope this helps :)

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