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Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be x, y, and z, respectively.

The sum of them is 72. In other words:

[tex]x + y + z = 72[/tex]

The second number y is three times the third number z. So:

[tex]y = 3z[/tex]

And the third number z is eight more than the first number x. So:

[tex]z = x + 8[/tex]

To find the numbers, solve for the system. We can substitute the last two equations into the first:

[tex]x + (3z) + ( x + 8) = 72[/tex]

Substitute again:

[tex]\displaystyle x + 3(x+8) + x+8 = 72[/tex]

Solve for x. Distribute:

[tex]x+3x+24+x+8=72[/tex]

Combine like term:

[tex]5x + 32 = 72[/tex]

Subtract:

[tex]5x = 40[/tex]

And divide:

[tex]x=8[/tex]

Thus, the first number is eight.

And since the third number is eight more than the first, the third number z is 16.

The second number is three times the third. Thus, the second number y is 3(16) or 48.

Our three numbers are 8, 48, and 16.

Answer:

B

Step-by-step explanation:

A conjugate is a term that has the same real part of its original but opposite terms of the second sign

Look at

[tex]3 + 6i[/tex]

The real part is 3 so B and C are the only possible answer.

The conjugate has the opposite sign of the second sign so the answer is

B

[tex]3 - 6i[/tex]

Answer:

The root of the equation is 2 with multiplicity 3

Step-by-step explanation:

8(x-2)^3=0

(x-2)^3=0

The root of the equation is 2 with multiplicity 3

Answer:

I don't really know

Step-by-step explanation:

Why don't u ask ur teacher for help that will help u more so in a test u can't use brainly

Answer:

y = 2x + 1

Step-by-step explanation:

y = mx + c

m = slope = 2

y = 2x + c

sub x = 1, y = 3

3 = 2(1) + c

c = 1

Answer: multiply 631.6 by 0.8​ = 505.28

Answer:

10

Step-by-step explanation:

Three identical numbers whose product is 1000

10 * 10 * 10

Answer:

Cooper read the least because

Step-by-step explanation:

1/5 is less than

Answer: Cooper read more

Step-by-step explanation:

The 3rd one

Step-by-step explanation:

Reason being that it has no factors, meaning it cannot be simplified any further, but quadratic method can be used to attain factors.

hope it makes sense :)

Answer:

Step-by-step explanation:

Note that the equation should be

f(t) = t^2 + 6t - 20

A. Completing the square

coefficient of the t term: 6

divide it in half: 3

square it: 3²

add 3² to complete the square and subtract 3² to keep the equation balanced:

f(t) = (t² + 6t + 3²) - 3² - 20

f(t) = (t+3)² - 29. This is the equation in vertex form.

:::::

B. Vertex (-3, -29)

The leading coefficient of the equation is +1. Since the leading coefficient is positive, the parabola opens upwards. Therefore, the vertex is a minimum.

:::::

The axis of symmetry is the vertical line passing through the vertex: x = -3

Answer:

the answer to the question

is x=-5.8

3║54, 81

3║18, 27

3║9, 9

3║3, 3

3║1, 1

HCF = 27

Must click thanks and mark brainliest

Answer:

Hello,

Step-by-step explanation:

[tex]\begin{array}{c||c}\begin{array}{c|c}54&2\\27&3\\9&3\\3&3\\1\\\end{array}&\begin{array}{c|c}81&3\\27&3\\9&3\\3&3\\1\\\end{array}\end{array}\\\\54=2^1*3^3\\ 81=3^4\\\\\boxed{HCF(54,81)=3^3=27}\\[/tex]

Answer:

Step-by-step explanation:

Find GCF of 45 and 60:

GCF(45,60) = 3*5 = 15

Find Greatest common multiple or GCF

[tex]\\ \sf\longmapsto 45=3\times 3\times 5[/tex]

[tex]\\ \sf\longmapsto 60=2\times 2\times 3\times 5[/tex]

Now

[tex]\\ \sf\longmapsto GCF=3\times 5=15[/tex]

Answer:

f(1) = -2

f(x) =1 when x=0 or x=-2

Step-by-step explanation:

f(1) is the y value when x=1

f(1) = -2

f(x) = 1 means find the x value when y=1

when y =1, x =0 and -2

Answer:

10

Step-by-step explanation:

because 60/6 is ten

hope this helped

Answer:

10 because 60/6 =10 this is the answer

Answer:

x = 14

y = -7

z = -3

but this is none of the provided answer options !

Step-by-step explanation:

it's really easy by principle. it's just some work to do.

we try to find equations to express one variable in terms of the others.

but one thing there is : your teacher made a mistake.

the right solution is x = 14, y = -7, z = -3

your teacher made a typo at d.

but the right answer should be d.

just to give you an idea how this can be done (and also to prove that there is a mistake by the teacher):

we can directly try to transform one expression into one that describes x by y and z.

and then another to describe e.g. z by y. and then solve the third one just for y. and then we get the other 2 by these other expressions.

or we can e.g. add or subtract one equation to/from another. this is one of these cases, because we can find really simple expressions that way :

we do

5x + 6y + 7z = 7

- (3x + 4y + 3z = 5)

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

---------------------------

0x + 0y + z = -3

=> z = -3

3x + 4y - 3×3 = 5

3x = -4y + 14

x = (-4y + 14)/3

2×(-4y + 14)/3 + 2y - 9 = 5

(-8y + 28)/3 + 2y = 14

-8y + 28 + 6y = 42

-2y = 14

y = -7

x = (-4×-7 + 14)/3 = (28+14)/3 = 42/3 = 14

Answer:

The range is the set of first coordinates

The answer is the first choice. If every 2 cm. is 4 cm., that means that the dimensions' values are doubled. Then, you can just double the dimensions. Preferably, in my opinion, this is the easier way to go. By your preference, though, you can do it the longer way as well.

There are 4 2s in the number 8.

There are 3 2s in the number 6.

If each of the 2s are 4s,

So, therefore,

Transforming the 2s to 4s,

4x4=16 cm.

3x4=12 cm.

So, this means that the final answer is the first choice. I hoped that this helped  answer your question. Enjoy your day, and take care!

Answer:

`Length=16 feet, width=12 feet

Image result for how to  use scale model step by step'

Divide the real life dimension of either length or width by that of the model. So the real life object had a length of 32m, and the model had a length of 8, then do 8(4). This is equal to 32, then divide by 2.

Hope this helps love <3

Answer:

[tex] - 8 = 8( - 3 + a) \\ - 8 = - 24 + 8a \\ 8a = 16 \\ a = 2[/tex]

Answer:

2

Step-by-step explanation:

-8 = 8a - 24

16 = 8a

a =2

Answer:

la respuesta es 55,404

I hope this helped

Answer:

(-1,4)

Step-by-step explanation:

The interval in which the function is decreasing is (-1, 4)

Answer:

The domain of a function is the set of all possible inputs for the function.

Using the table provided, the set of all possible inputs is the interval [-6 ; 4].

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

Using the table provided, the range is estimated on the interval [-10;20]

The y-intercept is the value on the Y-axis where the function crosses the Y-axis.

Using the table provided, the function crosses the Y-axis for f(0)=18 so for the value y = 18 in the table.

The x-intercept is the value on the X-axis where the function crosses the X-axis.

It happens twice, for f(-6)=0 and f(3)=0.

We estimate the Maximum to be 20, and the Minimum -10.

The function is positive over the interval [-6, 3], and negative over (3;4]

The function is decreasing approximately at f(-1)=20 so at the estimated interval (-1;4]

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

These lines have the same slope and different y-intercepts, so graph as parallel lines. As such, they will have no point of intersection, so there is NO SOLUTION to this system of inconsistent equations.

Step-by-step explanation:

Let find the distance of the diameter. using distance formula.

[tex](3 + 1) {}^{2} + ( - 2 + 6) {}^{2} = \sqrt{8} [/tex]

The diameter is sqr root of 8 units.

A circle equation is

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

where r is the radius. The radius is half the diameter so

[tex]r = \frac{ \sqrt{8} }{2} = \frac{ \sqrt{8} }{ \sqrt{4} } = \sqrt{2} [/tex]

[tex] {r}^{2} = { \sqrt{2} }^{2} = 2[/tex]

So our radius is 2.

Now we need to find the midpoint or Center of the diameter.

[tex] \frac{ - 6 - 2}{2} = - 4[/tex]

[tex] \frac{3 - 1}{2} = 1[/tex]

So the center of the circle is (-4,1). So our equation of the Circle us

[tex](x + 4) {}^{2} + (y - 1) {}^{2} = ( \sqrt{2} ) {}^{2} [/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) The first 5 partial sums are listed in the table in the attachment.

__

b) Sigma notation makes use of the general term shown:

  [tex]\displaystyle\sum_{n=1}^\infty{\frac{3^n+(-2)^n}{6^n}}[/tex]

__

c) The sum appears to be close to 3/4. (For large n, a calculator cannot evaluate the terms of the series--they are too small.) The attachment shows the 100th sum to be rounded to 3/4 (from 12 significant digits).

When you evaluate [tex]3(\frac{4}{5})[/tex] you will have [tex]\frac{12}{5}[/tex]

In this exercise, you're required to evaluate the given whole number and fraction [tex]3(\frac{4}{5})[/tex]

First of all, you will notice that there is a bracket which signifies multiplication. Therefore, we would open up the bracket by multiplying the two numbers.

Opening the bracket;

[tex]3 * \frac{4}{5}[/tex]

Multiplying the whole number by the numerator;

[tex]3(\frac{4}{5}) = \frac{12}{5}[/tex]

Find more information on how to evaluate mathematical expressions: https://brainly.com/question/24373783