[tex] |3x - 6| + 3 < 15[/tex]
Solve each inequality. Graph the solution.​

Answer:

2.5, 5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

combine like terms

Answer:

Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.

Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)

Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.

So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.

Let’s see what happens. 51 + 100 = 151. So far so good.

Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.

151 + 151 + 151 + 151 + … (21 more instances of 151).

So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.

151 x 25 = 3775

From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.

Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).

So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.

(a+n)((n−a)+12)  

an−a2+a+n2−an+n2  

−a2+a+n2+n2  

−a(a−1)+n(n+1)2  

Let’s check to see if it works!

−51(51–1)+100(100+1)2  

−51(50)+100(101)2  

−2550+10,1002  

75502  

3775  

Note that if the starting number were 1, the formula would simplify to  n(n+1)2

Following are the calculation to the sum of integers:

Given:

33 to 47

To find:

Sum of integers=?

Solution:

Given numbers:

33 to 47

[tex]\to \bold{33,34,35,36,37,38,39,40,41,42,43,44,45,46,47}[/tex]

Using formula:

[tex]\bold{S = \frac{n(a + l)}{2}}[/tex]

[tex]n=15\\\\a=33\\\\l=47 \\\\ \bold{S = \frac{15(33 + 47)}{2}}\\\\[/tex]

    [tex]\bold{= \frac{15(80)}{2}}\\\\\bold{= \frac{1200}{2}}\\\\\bold{= 600}[/tex]

Therefore, the sum of the integers "600".

Learn more:

brainly.com/question/18365093

Answer: 3.75

Step-by-step explanation:

Hope this helps

Answer: 7 units left and 6 Units Up.

Step-by-step explanation:

All you have to do is measure the distance, on the chart which in my answer. Its right BTW I alr did it. ;)

The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up thus option (A) will be correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given polygon,ABCD

A(4,-2),B(6,-4),C(2,-5),D(2,-3)

The transformed polygon A'B'C'D'

A'(-3,4),B'(-1,2),C'(-5,1),D'(-5,3)

The original polygon ABCD and its transformed A'B'C'D have been drawn below.

f we look then it is clear that the transformed image is not rotated about any axis.

Now consider a point A(4,-2) and A'(-3,4)

4 + x = -3 → x = -7 (7 units left)

-2 + y = 4 → Y = 6 (6 units up)

Hence "The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ5

Answer:

0.3125

Step-by-step explanation:

in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.

Answer:

0.3125

Step-by-step explanation:

Answer:

−5≤x≤−1

Step-by-step explanation:hope that helps :)))

x2+6x=−5

x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)

x2+6x+5=0

(x+1)(x+5)=0(Factor left side of the equation)

x+1=0 or x+5=0(Set factors equal to 0)

x=−1 or x=−5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x≤−5(Doesn't work in original inequality)

−5≤x≤−1(Works in original inequality)

x≥−1(Doesn't work in original inequality)

Answer:

−5≤x≤−1

Answer:

Step-by-step explanation:

3/5

Answer:

D. d=6.9r

Step-by-step explanation:

572000 or 5.72×10^5

Step-by-step explanation:

depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct

Answer:

The answer for this question would be A(-4,2) because the preimage of 4,2 would be A(-4,2).

Answer:

The answer would be option a) A(–4, 2)!

Step-by-step explanation:

Just got it right on Edge. - hope this helps :D

Answer:

no

Step-by-step explanation: 12/3 can be written as 4

This number can be written as a rational number, a natural number, and a whole number.

Therefore, 12/3 is not only a rational number.

The required retail cost of the hat before the markup is 11.73.

Given that,
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Let the retail cost be x,
According to the question, the retail price is markup by 45%.
So the cost after mark up = x + 0.45x = 1.45x
And
17 = 1.45x
x = 17 / 1.45
x = 11.73

Thus, the required retail cost of the hat before the markup is 11.73.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Answer:

I need the expressions

Answer:

Step-by-step explanation:

4choose 2

Answer:

Not sure sorry!

Wish that I could help!

Step-by-step explanation:

Answer:

Wait do we actually have to answer it? XD

Step-by-step explanation:

Answer:

6x-2

Step-by-step explanation:

Celia’s simplified expression:

6x - 2.

The last option is  correct.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given Phrase:

Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).

That means,

-4x(1 -3) - (2x +2).

She checked her work by letting x = 5 in both expressions.

That means,

-4(5)(1 -3) - (2(5) +2).

= 40 - 12

= 28.

To find the simplified expression:

-4x(1 -3) - (2x +2),

= 6x - 2.

Therefore, the required expression is 6x - 2.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

Answer:

You actually have it right 9.

Step-by-step explanation:

I got a 100% on the quiz!

Mark me BRAINLIEST!!!

Answer:

10° C

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

Answer:4/15

Step-by-step explanation:

Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.

Answer:

4/15

Step-by-step explanation:

to divide fractions. flip the second fraction. then multiply

3           4

4           3

1   x    4    =   4

5  x    3        15

can't be simplified any further

-18 is the y intercept

The slope is in y=mx+b form,

And b is the y intercept. Mx is the slope(m) and x is the variable, in this case 8x

So slope is 8, and y intercept is -18

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Suppose that the number of the people in the party is :

[tex]x[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

20 % of x equals :

[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

[tex]0.2x = 6[/tex]

[tex] \frac{2}{10}x = 6 \\ [/tex]

Multiply sides by 10

[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]

[tex]2x = 60[/tex]

Divided sides by 2

[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]

[tex]x = 30[/tex]

There were 30 people in the party.

Thus there are ;

[tex]30 + 6 = 36[/tex]

People at the party now.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

The translation is left 1 unit, up 5 units ⇒ A

Step-by-step explanation:

Let us revise the rules of translation of a function

The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = [tex]\frac{-b}{2a}[/tex]  and k = f(h)

You will use the vertex form to find the translation

∵ g(x) = x² + 2x + 6

∴ a = 1 and b = 2

→ use the rule of h to find it

∴ h = [tex]\frac{-2}{2(1)}=\frac{-2}{2}[/tex]

∴ h = -1

→ Use it to find k

∵ g(h) = k

∴ k = g(-1)

→ Substitute x by -1 in g to find k

∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6

∴ k = 5

→ Substitute the values of h and k in the vertex form above

∴ g(x) = 1(x - -1)² + 5

∴ g(x) = (x + 1)² + 5

→ By using the 2nd and 3rd rules of translation above

∴ f(x) is translated 1 unit to the left and 5 units up

∴ The translation is left 1 unit, up 5 units

The translation that maps the graph is mathematically given as

"The translation as left 1 unit, up 5 units"

Translation is simply defined as the communication of the meaning of source content into target-content.

Generally, the equation for the  vertex form  is mathematically given as

g(x) = x² + 2x + 6

Where

a = 1 and b = 2 and h=-1

g(h) = k

k = g(-1)

k = (-1)² + 2(-1) + 6

k= 1 - 2 + 6

k = 5

In conclusion

g(x) = (x + 1)^2 + 5

Giving the translation as left 1 unit, up 5 units

Read more about Arithmetic

https://brainly.com/question/22568180