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2 years ago

Solve: |x+2|−1≥5. Write your solution in interval notation.

Mathematics

1 answer:

AlekseyPX2 years ago

6 0

nswer:

Step-by-step explanat

|x+2| - 1 ≥ 5

 |x+2| ≥ 5+1

 |x+2| ≥ 6

 x+2 ≥ 6 hoặc x+2 ≤ -6

+ với x+2 ≥ 6  x ≥ 6 – 2  x ≥ 4

+ với x+2 ≤ -6  x ≤ -6 – 2  x ≤ -8

(-∝;-8)∪(4;+∝)

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PLEASEE helpppp correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

dolphi86 [110]

Answer:

126?? i think

Step-by-step explanation:

A triangle always ahs a total of 180 degrees, so I added 24+28+6= 54, then subtracted it by 180 and got 126

(Dont fully trust me, im not an expert in geometry :P)

4 0

3 years ago

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

3 years ago

The eatery restaurant has 200 tables. On a recent evening there were reservations for 1/10 of the tables. How many tables were r

lbvjy [14]

20 the answer for this is 20

3 0

3 years ago

Mario invests 1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. A:2100(1.02

Sedbober [7]

Answer:

<em>1500(1.02)^x + 600x</em> is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year. 12(50)=600.

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

1500(1.02)^x + 600x

4 0

3 years ago

The diameter of the circular base of a spot is 6 inches what is the closet approximation of the area base

AlladinOne [14]

Answer:

A≈28.26 in^2

Step-by-step explanation:

We know the diameter is 6

We can find the radius

r = d/2

r =6/2 =3 inches

The area of a circle is given by

A = pi *r^2

A = pi*3^2

A = pi*9

We will use 3.14 to approximate pi

A ≅(3.14) *9

A≈28.26 in^2

4 0

2 years ago