Solve the system using the elimination method.
3x + 2y-z= 8
-3x + 4y + 5z = -14
X- 3y + 4z=-14

Answer:

it is 4

Step-by-step explanation:

Answer:

<CTS=180-(35+31) (sum of <s in a triangle)

=180-66

=114 degrees

x=180-114 (angles on a straight line)

x=66 degrees

<TSR=180-(30+36)

=180-66

=114 degrees

<TSA=180-114

=66 degrees

y=180-(66+66)

y=180-132

y=48 degrees

Answer:

21

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...

We see that the first number that is a multiple of both 3 and 7 is 21.

Answer:

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

Answer:

C(x) = 5700 + 500x

Step-by-step explanation:

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.

Variable cost are cost that changes with production such as cost of raw material, cost of labor.

From the question:

Fixed cost= $5,700

Cost per unit of computer = $500

If x number of computers are produced in a month

Variable cost = 500x

Total cost = fixed cost + variable cost

C(x) = 5700 + 500x

Where,

C(x) = total cost

5700= fixed cost

500x= variable cost

Answer:

C(x)=500x+5700.

Step-by-step explanation:

he general Cost function formula is given by

C(x)=cost per unit⋅x+fixed costs.

The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by

C(x)=500x+5700.

Answer:

See below.

Step-by-step explanation:

4.

[tex] 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} [/tex]

5.

[tex] \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} [/tex]

6.

[tex] \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i [/tex]

Answer: -50

Step-by-step explanation:

-20 + -30 = -50

The total change in temperature that Dana recorded will be -50 or a drop of 50.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

First temperature drop = -20

Second temperature drop = -20

Total drop = -20 - 20 = -40

Hence "The total change in temperature that Dana recorded will be -50 or a drop of 50".

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Answer:

on the x-axis

Step-by-step explanation:

If x is less than 0, that means it's to the left of the origin, and if y = 0, then that means the point lies on the x-axis.  Hence, (x,y) is on the x-axis.

Cheers.

Answer:

No

Step-by-step explanation:

First, figure out the circumference:

c=[tex]\pi[/tex]d

c=[tex]\pi[/tex]180=565.48

Then divide by the space needed:

565.48÷70=8.07

With 18 tables and 8 people per table:

18x8=144

So they only have seating for 144 guests.

Answer:

3.4

Step-by-step explanation:

2/5 as a decimal is 0.4, and we can add 3 to it, getting 3.4

Answer:

2,445

Step-by-step explanation:

PEMDAS:

(3215 - 3052) * 15 =

163 * 15 =

2,445

Hope this helps.

Answer:

I think Its 24.45

Step-by-step explanation:

I did my best

Answer:

[tex]\Huge \boxed{w+15}[/tex]

Step-by-step explanation:

The number w is increased by 15.

15 is added to w.

[tex]\Rightarrow w+15[/tex]

Answer:

wwwwwwwwwwwwwww

Step-by-step explanation:

you said 15 w's

Answer:

4/5

Step-by-step explanation:

1/2÷6=0.8333333...

0.8333333...as a fraction is 4/5

Answer:

1/2

Step-by-step explanation:

Answer:

0.4 represents the height of the base.

0.6 represents the height of each block.

Step-by-step explanation:

In this expression the x is the number of blocks  which is multiplied with the height of the block and added to  the height of the base to get the total height of the wall.

Suppose we have ten blocks so

0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4

The height of the wall would be 6.4 if there are ten blocks.

The height of the wall depends on the number of blocks used.

The height of the base is constant irrespective of the number of blocks used.

Answer:

0.4 represents the height of the base.

0.6 represents the height of each block.

Step-by-step explanation:

Answer:

o=p+12

Step-by-step explanation:

height of the oak tree is equal to the height of the pine tree plus 12 feet.

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponents of the same base, we can simply subtract the powers so the new power would be 6 / 7 - 2 / 7 = 4 / 7, hence we need to write [tex]r^{\frac{4}{7} }[/tex] as a radical. When writing fractional exponents as radicals, the denominator of the fractional exponent is the index of the radical and the numerator is the exponent of the base inside the radical, hence, our answer is [tex]\sqrt[7]{r^{4} }[/tex].

Answer:

  3×1/10 +5×1/100 +6×1/1000

Step-by-step explanation:

You have not shown Armando's work, but we know there are several ways that expanded form can be written:

  0.356 = 0.3 + 0.05 + 0.006

  = 3×0.1 + 5×0.01 + 6×0.001

  = 3×10^-1 + 5×10^-2 + 6×10^-3

When the place values are expressed as fractions, this is ...

  = 3×1/10 + 5×1/100 + 6×1/1000

Answer:

B

Step-by-step explanation:

V26 is closer to 5 because it's only one number away.

The number among the option that is closest to 5 is √26.

The number closest to 5 is the number that is almost 5.

The option are express in surd form, therefore, lets express in real numbers(decimal form) Real numbers are rational or irrational numbers. Therefore,

√23 = 4.79583152331

√26 = 5.09901951359

√22 = 4.69041575982

√28 = 5.29150262213

Therefore, using the decimal form, the closest number to 5 is √26

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Step-by-step explanation:

It's basically [tex]3\sqrt{3} - 1\sqrt{3}[/tex] which is just 3 - 1 since the radicals are the same.

Answer:

Hey there!

The measure of angle ABD plus the measure of angle CBD equals 90 degrees or a right angle.

Thus, we can write the equation: ABD+51=90

Solving for ABD, we find that it is 39 degrees.

Let me know if this helps :)

the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

according to given figure

The measure of angle ∠ABD plus the measure of angle  ∠CBD equals 90 degrees or a right angle.

Thus, we can write the equation: ∠ABD + ∠CBD = 9[tex]0^{o}[/tex]

∠ABD + 5[tex]1^{o}[/tex] = 9[tex]0^{o}[/tex]

∠ABD = 9[tex]0^{o}[/tex] - 5[tex]1^{o}[/tex]

∠ABD = 3[tex]9^{0}[/tex]

Hence, the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.

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Answer:

the width of a rectangular is 3 cm

Step-by-step explanation:

Length L = 10 cm

Perimeter P = 26 cm

Width W = ?

perimeter = 2L + 2W

26 = 2(10) + 2W

26 - 20 = 2W

6 = 2W

W = 6 / 2

W = 3 cm

therefore,  the width of a rectangular is 3 cm

Answer:

$135

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x - 2

g(x) = x²

In order to find (fog)(-1) we must first find (fog)(x)

To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with

g (x).

That's

(fog)(x) = x² - 2

To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)

We have

(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1

Hope this helps you

Answer:

Step-by-step explanation:

g(-1) = 4(-1) - 3 = -4 -3 = -7

f(-7) = (-7)^2 + 3 = 49 + 3 = 52

Answer is D

Step-by-step explanation:

y=-3/4 ÷ -4/3

y=+9/16‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌

Answer:

So we have this equation:

[tex]\frac{-4}{3y}=\frac{-3}{4}[/tex]

We can multiply both sides by 4 and 3y:

[tex]\frac{-4*4*3y}{3y}=\frac{-3*4*3y}{4}[/tex]

[tex]-4*4=-3*3y[/tex]

[tex]-16 = -9y[/tex]

Now we divide both sides by 9:

[tex]\frac{-16}{-9}=y[/tex]

And we can remove the minus signs:

[tex]\frac{16}{9}=y[/tex]

If you mean [tex]\frac{-4}{3}y=\frac{-3}{4}[/tex]:

[tex]-4y*4=-3*3[/tex]

[tex]-16y = -9[/tex]

[tex]y=\frac{9}{16}[/tex]

Answer:

-10,6

Step-by-step explanation:

f(x) = (x + 2)^2 - 64

Set equal to zero

0 = (x + 2)^2 - 64

Add 64 to each side

64  = (x + 2)^2

Take the square root of each side

±sqrt(64) = sqrt((x + 2)^2 )

±8 = x+2

Subtract 2 from each side

±8-2 = x

-8-2 =x

8-2 = x

-10,6

Answer:

x=15

Step-by-step explanation:

i just know its right

Answer:

2

Step-by-step explanation:

The scale factor can be determined by simplifying the ratio of the corresponding length of the preimage to that of the image.

The preimage is the smaller shape shown, while the image is the lager shape shown.

Any side length can be used.

Thus, length of one side of the preimage, AD = 4 - 1 = 3 units

AD corresponds to side length A'D' if the image = 7 - 1 = 6 units

The ratio of the image length to the ratio of the preimage length = the scale factor

Thus:

6 : 3 = [tex] \frac{6}{3} = 2 [/tex].

The scale factor is 2.