Which ordered pair is the solution of the system of a linear equation? (See image)

Answers:

(-4,-2)

(-4,2)

(-2,-4)

(2,4)

Answer:

x=3

y=3

Step-by-step explanation

Here we have been given with two equations and we will solve them by substitution by elimination method.

Transposing y in 1st equation from L.H.S. to R.H.S. it would be negative,

[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y}[/tex]

Now, we would substitute this value of x in Equation No 1.

[tex] \implies \: \displaystyle\sf{2 \: (6 - y) \: = \:15 }[/tex]

[tex] \implies \: \displaystyle\sf{2 \: \times (6 - y) \: = \:15 }[/tex]

[tex]\implies \: \displaystyle\sf{12 - 2y \: = \:15 }[/tex]

Transposing 12 to R.H.S.,

[tex] \implies \: \displaystyle\sf{ - 2y \: = \:15 - 12 }[/tex]

[tex]\implies \: \displaystyle\sf{ - 2y \: = \:3}[/tex]

[tex]\implies \: \displaystyle\bf{ y \: = \: - \dfrac{3}{2} }[/tex]

Therefore, value of y is - 3/2.

★ Finding out value of x:-

[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y }[/tex]

[tex]\implies \: \displaystyle\sf{x \: = \: 6 - ( \dfrac{ - 3}{ 2} )}[/tex]

[tex]\implies \: \displaystyle\sf{x \: = \: \frac{12 + 3}{2} }[/tex]

[tex]\implies \: \displaystyle\bf{x \: = \: \frac{15}{2} }[/tex]

Henceforth,

Answer:

42°

Step-by-step explanation:

∠NML = ∠ZYX =88°

Angles in a triangle add up to 180 so ∠ZXY =

180 - (50+88)

180-138

42

∠ZXY = 42°

The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a composite figure can be decomposed to smaller figures so as to find the area.

The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.

Find out more on area at: https://brainly.com/question/25292087

Answer:

A. as two semicircles and a rectangle

Step-by-step explanation:

i did it

Answer:

1.53x−14.23

Step-by-step explanation:

simplify:

5.03x−8.03−(3.5x+6.2)

Distribute the Negative Sign:

=5.03x−8.03−1(3.5x+6.2)

=5.03x−8.03−1(3.5x)+(−1)(6.2)

=5.03x−8.03−3.5x−6.2

Combine Like Terms:

=5.03x−8.03+−3.5x−6.2

=(5.03x−3.5x)+(−8.03−6.2)

=1.53x−14.23

(5.03x -8.03) - (3.5x +6.2)=

Answer: 81

Step-by-step explanation:

90% is the same as 0.9

We can multiply .9 by 90 to see how many students are enrolled in health

0.9×90=81.0

Answer:

[tex]\huge\boxed{\sf 81\ students }[/tex]

Step-by-step explanation:

Total students = 90

Enrolled in health:

= 90 % of 90

[Key: "of" means "to multiply" and "%" means "out of hundred"]

[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]

So, 81 students are enrolled in health.

[tex]\rule[225]{225}{2}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4 + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 13[/tex]

hence, value of x is 13

[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]

Answer:

x = 13

Step-by-step explanation:

[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]

[tex]\mathrm{multiply}[/tex]

[tex]4^2=16[/tex]

[tex]2^9=512[/tex]

[tex]16*512=8192[/tex]

[tex]8192=2^x[/tex]

[tex]\mathrm{Flip \;the \;equation}[/tex]

[tex]2x=8192[/tex]

[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]

[tex]x*(log(2))=log(8192)[/tex]

[tex]x=\frac{log(8192)}{log(2)}[/tex]

[tex]x=13[/tex]

[RevyBreeze]

Step-by-step explanation:

y+2=3(x-7)

y+2=3x-21

y=3x-21-2

y= 3x-23

Slope is 3

Answer:

Slope intercept form;

y = mx + b

Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.

We are given;

y + 2 =3(x - 7)

So we rearrange this into slope intercept form.

y + 2 = 3(x - 7)

Simplify:

y + 2 = 3x - 21

Apply inverse operation of addition (subtraction).

-2           -2

y = 3x - 23

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

Answer: sqrt(182)

Step-by-step explanation:

======================================================

Explanation:

At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.

We're given that [tex]\hat{p} = 0.5[/tex] as the sample proportion and E = 0.05 is the desired error.

The min sample size n is:

[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\[/tex]

Always round up to the nearest integer.

Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.

The average rates of change of a function f(x) and g(x) are their slopes

The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)

The average rate of change of a function f(x) over the interval [a,b] is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

The average rates of change of the functions over the intervals are:

A. 0 ≤ x ≤ 3

[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)

B. 0 ≤ x ≤ 2

[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)

C. 3 ≤ x ≤ 6

[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)

D. 1 ≤ x ≤ 2

[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)

From the above computation, we can see that:

The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x

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The stop sign is an octagon or regular polygon.

It is given that a stop sign has 8 sides.

It is required to describe the sign using a polygon.

It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.

We have a stop sign that has 8 sides.

As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.

The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.

Thus, the stop sign is an octagon or regular polygon.

Learn more about the polygon here:

https://brainly.com/question/17756657

Answer:

8, octagon, & regular

Step-by-step explanation:

I did it

Answer:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet.

Step-by-step explanation:

this equation is stander form

[tex]-\frac{62}{9}[/tex]

The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.

Solving the Equation

First, rewrite the equation

Next, apply the addition property of equality and add 17 to both sides

Finally, apply the division property of equality and divide both sides by -18

Then, simplify for the final answer (divide numerator and denominator by 2)

Explanation:

Divide the number of times orange shows up (33) over the number of total spins (100). Reduce the fraction if possible. In this case, 33/100 is fully reduced because 33 and 100 have no common factors other than 1.

Answer:

Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.

Step-by-step explanation:

[tex]watch.some.anime[/tex]

Answer:

6.75 miles

Step-by-step explanation:

Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.

hope that helps

Answer:

6.75 miles

Step-by-step explanation:

How many 1/2 hours in 1 1/2 hour? 1.5 ÷ 0.5 = 3

2.25 x 3 = 6.75

OR

Find the unit rate = 2.25 x 2 = 4.50 (we multiply it by 2 because there 2 half hours in an hour)
4.50 x 1.50 = 6.75

Answer:

(3 x 1) x 4 = 12

Answer:

A: (x-4) squared

B: x+2

C: 9

D: 14

E: 7

F: 2

Step-by-step explanation:

A: This is because x^2 - 8x + 16 factored is (x-4) squared

B: Square root of something squared will remove the square root

C: Minus the variable x and 2 from the right side

D: Factor

E/F: These numbers make the right side become zero

Answer:

set of numbers that cannot be represented in form of a/b

examples square root of 2, 3, 5 and 6

Answer:

question one

one shirt cost=9pound

3 shirts=3*9=27pound

Step-by-step explanation:

Given:

32^(1/6)

To Find:

Convert to Radical form 32^(1/6)?

Solution:

here, given that- 321/6

Since, we know that - If n is a positive integer

that x and a is a real number or a factor, then

an = Vu?

=

now, using this rule to convert 321/6 to a radical,

where a=32, x=1 and n=6

√32

Hence,

Exact form:

32

Decimal Form:

2

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]

B.) The probability that there is one girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]

C.) The probability that there is two girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]

The probability distribution of a girl child being born can be drawn as given below.

Learn more about Probability:

https://brainly.com/question/795909

Answer:A

Step-by-step explanation:

Answer:

z = 180°

Step-by-step explanation:

First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.

S = (n-2)180

S = (6 - 2)180

S = (4)180

S = 720°

Next, make an equation adding all the interior angles and setting them equal to 720.

t + t + 2t + t + t + 2t = 720

8t = 720

8t/8 = 720/8

t = 90°

Finally, find the measure of angle z by substituting 90° for t.

z = 2t

z = 2(90)

z = 180°

Answer: Here, this should help ya out :

With graphing lines and slopes use desmos graphing calulator dont worry, its safe ;)

Answer:

See below ↓

Step-by-step explanation:

Step 1 : Mark the y-intercept.

Step 2 : Draw the slope.

Answer:

16 pencils and 17 glue sticks

Step-by-step explanation:

X=pencils

Y=glue sticks

X+Y=33

1.50X+2Y=58

times ten to get whole numbers

=15X+20Y=580

same for e1

=10X+10Y=330

15X+20Y=580

10X+10Y=330

elimination mthd

150X+200Y=5800

150X+150Y=4950

50Y= 850

Y=17

X+17=33

X=33-17

X=16

Answer:

  (c)  $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

  5% disount: (1 -5%)·p = $76 . . . . where p is the original price

     p = $76/0.95 = $80 . . . . . . . the original price

  10% discount: (1 -10%)·p = $72

     p = $72/0.90 = $80

  25% discount: (1 -25%)·p = $60

     p = $60/0.75 = $80

_____

Additional comment

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

Answer:

271.2 meters

Step-by-step explanation:

See attached image.