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Andru [333]
3 years ago
11

Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2.
Mathematics
1 answer:
erastova [34]3 years ago
6 0
The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
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Which of the following is the product of the rational expressions shown below?
kotykmax [81]

Answer: OPTION D.

Step-by-step explanation:

You have the expressions given in the problem:

\frac{2}{2x+3}*\frac{9}{x}

To find the product of both expression you must multiplicate them.

You must multiply the numerators of both expression and the denominators of both expression.

Keeping the above on mind, you obtain that the product is:

\frac{2*9}{(2x+3)x}

 \frac{18}{2x^{2}+3x}

3 0
3 years ago
Read 2 more answers
A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gi
inessss [21]

Answer:

\frac{1429}{120} or 11\frac{109}{120}

Step-by-step explanation:

Given:

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.

Remaining peaches = 4

We need to find the original number of peaches in the basket.

The farmer gives the total number of peaches = \frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7

Let x be the former gives the total number of peaches

We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.

x = \frac{120}{120}(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7)

x = \frac{1}{120}(\frac{120}{3}+\frac{120}{4}+\frac{120}{5}+\frac{120}{8}+7\times 120)

x = \frac{1}{120}(40+30+24+15+840)

x = \frac{1}{120}(949)

x = \frac{949}{120}

We add the remaining peaches by given peaches for the original number of peaches in the basket.

Original number of peaches = \frac{949}{120}+4

Original number of peaches = \frac{949+4\times 120}{120}

Original number of peaches = \frac{949+480}{120}

Original number of peaches = \frac{1429}{120}

Original number of peaches = 11\frac{109}{120}

Therefore the original number of peaches in the basket is \frac{1429}{120} or 11\frac{109}{120}

5 0
3 years ago
3. Suppose the mystery bag had resulted in the following number of red chips. Using the simulated sampling distributions found e
Vinvika [58]

Answer:

a) 0.172

b) 0.167

c) 0.1404

Step-by-step explanation:

Margin of error, E = 2\times\sqrt{\frac{p(1-p)}{n}}

here,

p = probability of the event

n = sample size

a) n = 30

p = 10 ÷ 30 = 0.333

Therefore,

E = 2\times\sqrt{\frac{0.333(1-0.333)}{30}}

= 2 × 0.0861

= 0.172

b)  n = 30

p = 21 ÷ 30 = 0.7

Therefore,

E = 2\times\sqrt{\frac{0.7(1-0.7)}{30}}

= 2 × 0.0836

= 0.167

c) n = 30

p = 22 ÷ 50 = 0.44

Therefore,

E = 2\times\sqrt{\frac{0.44(1-0.44)}{50}}

= 2 × 0.0702

= 0.1404

3 0
3 years ago
PLS HELP QUICK <br> Find the length of side x in simplest radical form with a rational denominator
Alja [10]

Answer:

x= \sqrt{6}

Step-by-step explanation:

you might need a calculator to get the answer but since it is a right triangle the legs of the triangle in this case x and the\sqrt{6} are the same length

3 0
3 years ago
Find the area of each figure. Use 3.14 for x.
Serga [27]

8.10/2 + 2.3 = 46 total area is 46

6 0
3 years ago
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