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3 years ago

What it the inequality for this interval? (-00, 2] u (8,00)

1 answer:

5 0

Interval notation tells you what values where the function is defined. It’s defined all the way from negative infinity to positive 2, then there’s a gap all the way to positive 8, then we continue on to positive infinity. So x, would be literally every single number besides the number between 2 and 8. Oh and don’t forget that brackets mean included, so 2 is also a value that’s acceptable.

x is less than or equal to 2
and
x is greater than 8

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Please help What is the value of d?

PtichkaEL [24]

Rule: with any inscribed quadrilateral, the opposite angles are supplementary (they add to 180 degrees)

Based on that rule, we can say
d+100 = 180
d+100-100 = 180-100
d = 80

Answer: 80

8 0

3 years ago

Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for

White raven [17]

One scarf=s
One hat=h

2s+h=13
s+2h=14

h=13-2s
(plug that into the other equation)

s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4

One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9

5 0

2 years ago

Point M is the midpoint of AB . Through point M a line segment XY is drawn, so that both XA and YB are perpendicular to AB . Pro

GaryK [48]

Answer:

See the proof below

Step-by-step explanation:

Let the line AB be a straight line on the parallelogram.

A dissection of the line (using the perpendicular line X) gives:

AY ≅ BX

Another way will be using the angles.

The angles are equal - vertically opposite angles

Hence the line AY ≅ BX (Proved)

8 0

3 years ago

Read 2 more answers

Q1 - Find the circumference of following circle. Take π = 3.14

Tanzania [10]

Answer:

The circumference of the circle is <u>C-72.22 </u><u>units</u>

Step by step explanation-

Given-

Diameter of circle (d) = 23 units
π = 3.14

Now,

<h3> $\mathfrak {circumference \: of \: circle = \pi d }$ </h3>

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 23$

$\: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ = 72.22 \: units}$

6 0

2 years ago

Read 2 more answers

Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m

kipiarov [429]

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

7 0

2 years ago