(04.03 LC)
Create an equivalent system of equations using the sum of the system and the first equation.
-3x + y = 12
x + 3y = 6​

Answer:

They can make 70 king sized bars and 10 regular sized bars.

70*2=140 oz

140+10=150 oz

Answer:

a. 6.75 ft

b. Exponent on w is w^4

Step-by-step explanation:

a. The best thing here is to work with decimals

each piece was 3/4 foot tall which means each piece is 0.75 ft tall

Now since he staked 9, the height of the wood pile would be 9 * 0.75 = 6.75 ft

b. Firstly let’s evaluate the denominator

That becomes; 2v^-3w^8 * v^4w = 2v^(-3+4)w^(8+1) = 2vw^9

So let’s now divide this by the numerator

Since we are concerned with only the exponent on w, we place w^13 over w^9 = w^(13-9) = w^4

Answer:

the value of x_y is 1.

hope u get it.....

Answer:

x = 5

Step-by-step explanation:

Here, we want to use Crammer’s rule to find the value of x

Please check attachment for complete solution

Answer:

The smallest x-intercept is x = -1, from equation 3.

Step-by-step explanation:

The x-intercept value of a function happens when "y", or in this case f(x), is equal to 0. Therefore we need to analyze each equation by making f(x) = 0 and finding x.

(a) [tex]f(x) = 3x - 9[/tex]

[tex]0 = 3x - 9\\3x = 9\\x = 1[/tex]

(b) [tex]f(x) = 4[/tex]

Since this is a constant function for which f(x) = 4, then there will be no x-intercept.

(c) [tex]f(x) = 3x - 9[/tex]

[tex]0 = \sqrt{x + 1}\\(0)^2 = (\sqrt{x + 1})^2\\0 = x + 1\\x = -1[/tex]

(d) [tex]f(x) = x^2\\[/tex]

[tex]0 = x^2\\x = 0[/tex]

From these options the smallest x-intercept is x = -1.

Answer:

c

Step-by-step explanation:

edge 100%

Answer:

0.13591

Step-by-step explanation:

What we do here is find a score of both values;

Mathematically;

z-score = (x - mean)/SD

for 825, we have (825-750)/75 = 1

For 900, we have (900-750)/75 = 150/75 = 2

So the probability we want to find is;

P(1<x<2) = P(x<2) - P(x<1)

We use the standard table for this and we arrive at;

P(1<x<2) = 0.13591

Answer:13.5

Step-by-step explanation:

Answer:

30 cm²

Step-by-step explanation:

Step 1: Find the value of xy using the formula for area of triangle with 2 sides and an angle between

Area = ½*x*y*sinB

Area of ∆ABC = 30 cm²

sin B = sin 70 = 0.9397

Thus,

30 = ½*x*y*0.9397

30 = (x*y*0.9397)/2

Multiply both sides by 2

60 = xy*0.9397

Divide both sides by 0.9397

60/0.9397 = xy

xy = 63.85

Step 2: calculate the area of ∆PQR with the same formula used in step 1, and also, using the value of the product of x and y gotten in step 1

Area of ∆PQR = ½*x*y*sinQ

x*y = xy = 63.85

sin Q = sin 110 = 0.9397

Area = ½*63.85*0.9397

Area of ∆PQR ≈ 30 cm²

Answer:

The correct answer is B

Answer:

0 < x < 25

Step-by-step explanation:

Answer:  9xy3

Step-by-step explanation:

STEP

1

:

            y

Simplify   ——

           x5

Equation at the end of step

1

:

                      y

 (((3xy)2) • (x4)) • ——

                     x5

STEP  

2

:

Equation at the end of step

2

:

                  y

 (32x2y2 • x4) • ——

                 x5

STEP  

3

:

Multiplying exponential expressions :

3.1    y2 multiplied by y1 = y(2 + 1) = y3

Dividing exponential expressions :

3.2    x6 divided by x5 = x(6 - 5) = x1 = x

Final result :

 9xy3

Answer:

x^2-4x-4

Step-by-step explanation:

Dimension of the painting=x

Frame=2in wide is. Each side of the square painting

Length of the painting= x-2

Area of a square=lenght^2

=(x-2)^2

Multiply

=(x-2)(x-2)

=x^2-2x-2x+4

Combine like terms

Area of the square painting=x^2-4x-4

Answer: Hope this helps <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]-(x-4)^2+2=-(x-4)(x-4)+2 = -(x^2-4x-4x+16)+2 = \\\\=-(x^2-8x+16)+2=-x^2+8x-16+2=\underline{\ -x^2+8x-14\ }[/tex]

Answer:

x=-1, y=2, z=3

Step-by-step explanation:

First at all, you can divide these equations into two group. It is easier to you.

4x-2y+3z=1

3x+y+2z=5

x+3y-4z=-7

3x+y+2z=5

Then, you can simplify these group of equation that you divided.

So, we have to simplify these step by step.

First, we can simplify the first group of equation.

4x-2y+3z=1

3x+y+2z=5

We have to find which variable you want to eliminate. I choose y.

You can multiply the second equation of first group by 2 and eliminate them.

4x-2y+3z=1

6x+2y+4z=10

As the variable of y is same and we can eliminate y by addition.

4x-2y+3z=1

6x+2y+4z=10

become

10x+0+7z=11

10x+7z=11

10x+7z=11 as the third equation.

Next, simplify the second group of equation.

x+3y-4z=-7

3x+y+2z=5

Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.

We need to balance for the first equation x+3y-4z=-7 at least one variable.

We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.

3x+y+2z=5 (multiply by -3)

-9x-3y-6z=-15

x+3y-4z= -7

-9x-3y-6z= -15

Here we go! Now these group has same value and variable to eliminate.

We can eliminate these equations by addition method.

x+3y-4z= -7

-9x-3y-6z= -15

-8x+0+10z= -22

-8x+10z= -22

Furthermore, we have to combine these equations that we have simplified from the previous groups.

10x+7z=11

-8x+10z= -22

10x+7z=11 and -8x+10z= -22 as a new group.

Finally, it is time to solve these equations!!

10x+7z=11

-8x+10z= -22

First equation of the above group, we can multiply by 10. Like this:

100x+70z=110

Second equation of the above group, we can multiply by 7. Like this:

-56x+70z=-154

So, we can see there are same value from these equation which are +70z and -70z.

Now, we can eliminate this variable by sum these equations.

100x+70z=110

-56x+70z=-154

44x= -44

x= -1

When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.

When x= -1,

substitute into 100x+70z=110

100(-1)+70z=110

-100+70z=110

70z=110+100

70z=210

z=3

When z=3 and x= -1, we can substitute into x+3y-4z= -7

-1+3y-4(3)= -7

-1+3y-12= -7

3y=6

y=2

So, the answer is x= -1 , y=2 , z=3

I hope you will understand my solution and explanation. Bye!!

Answer:

3x^4 + 7x^3 - 5x^2 + 8x - 13

Step-by-step explanation:

(3x^4 + 7x^3 - 9) - (5x^2 - 8x + 4) =

The negative sign to the left of the second set of parentheses changes every sign inside the parentheses.

The first set of parentheses is unnecessary, so we just drop it.

= 3x^4 + 7x^3 - 9 - 5x^2 + 8x - 4

Now we combine like terms.

= 3x^4 + 7x^3 - 5x^2 + 8x - 13

Answer: 3.2 is the correct answer

Step-by-step explanation

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

its false I think

Answer:

Good very good

Step-by-step explanation:

Because my taste buds like it'

Answer:

B

Step-by-step explanation:

Put x as 1 and the output will be 9.

y = (3x)²

y = (3(1))²

y = 3²

y = 9

True

I hope this helps you

Answer:  B) sin θ = 5/13    and    D) tan θ = 5/12

Step-by-step explanation:

[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]

Use Pythagorean Theorem: x² + y² = r² to calculate x = 12

[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]

Answer:

B) 40 ft

Step-by-step explanation:

Use the picture for a reference.

1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.

2. The Pythagorean Theorem

a^2 (a squared) + b^2 (b squared) = c^2 (c squared)

a = 30 ft (width)

b = x ft (unknown length)

c = 50 ft (diagonal)

3. Substitute in the values:

    30^2 + x^2 = 50^2

    900 + x^2 = 2500

    x^2 = 1600

    x = 40

The length of the field is 40 ft.

Answer:

  y = (1/3)x +4

Step-by-step explanation:

The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.

The slope-intercept form of the equation of a line is ...

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

When we put the proper numbers in the equation, we have ...

  y = (1/3)x + 4

Answer:

2133 bricks

Step-by-step explanation:

a27=1

a4=139

  a27=a4+23r

   1=139+23r

  23r=1-139

23r=-138

r=-138/23=-6

a4=a1+3r

139=a1-18

a1=139+18

a1=157

n=a1+......+a1+26*r=a1+a1+r+......+a1+26r=27*a1+r(1+2+...+26)

=27*157-6*26*27/2=4239-3*26*27=4239-2106=2133

Answer:

x=42

Step-by-step explanation:

The tens digit of a two-digit number is twice the units digits. put it in an equation:

10(2x)+x = 10x+2x+18

21x=12x+18

21x-12x=18

x=18/9=2

substitute x:

10(2x)+x = 10x+2x+18

10(2*2)+2=10(2)+2(2)+18

42=24+18

Answer:

GY = 10 cm

YX = 16 cm

A = πr²

A = π (26cm)²

A = 676cm² π

Step-by-step explanation:

The area of Marco's new circle is A = 676π cm²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the value of r = 26 cm

And , area of the circle = πr²

On simplifying , we get

A = π ( 26 )²

A = 676π cm²

Hence , the area of the circle is 676π cm²

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ3

The complete question is attached below :

Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.

Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?

10Pi centimeters squared

16Pi centimeters squared

356Pi centimeters squared

676Pi centimeters squared

Answer:

10g + 6h + 8

Step-by-step explanation:

2(5g+3h+4)

Distribute.

2 × 5g + 2 × 3h + 2 × 4

10g + 6h + 8

Answer:

Its A

Step-by-step explanation:

Answer:

its the first option

Step-by-step explanation:

Answer:

Emma can complete the calls alone in 6 days, which means she can complete   [tex]\frac{1}{6}[/tex] of the calls in one day. So, Emma’s rate per day is [tex]\frac{1}{6}[/tex] . Jackson can complete the calls alone in [tex]4[/tex] days, which means he can complete [tex]\frac{1}{4}[/tex] of the calls in one day. So, Jackson’s rate per day is [tex]\frac{1}{4}[/tex] . Because they’re working together, the time, [tex]x[/tex] , is the same for both.

Multiply across the table to find the part of the task each has completed. Use the equation work completed = (rate)(time) to fill in the last column cells.

Step-by-step explanation: