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klemol [59]
3 years ago
5

Solve: |4x + 2| + 6 =0 a.all real number b.1 or -2 c.-1 or 2 d. no solution

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0
No solution since when you subtract six from both sides you cannot get -6 on the left side since you have use the absolute value
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What is the sum of the first 51 terms of the sequence?<br><br> −282,−266,−250,−234,...
Pavel [41]

Answer:

The sum of the first 51 terms of the sequence is 6018

Step-by-step explanation:

AP: −282,−266,−250,−234,...

First term = a = -282

Common difference = d = a_2-a_1=a_3-a_2

Common difference = d = -266-(-282)=-250-(-266)=16

Formula of sum of first n terms =S_n=\frac{n}{2}(2a+(n-1)d)

Substitute n = 51

So,S_{51}=\frac{51}{2}(2(-282)+(51-1)(16))

S_{51}=6018

Hence the sum of the first 51 terms of the sequence is 6018

8 0
3 years ago
A chicken salad recipe calls for 1 8
NARA [144]

Answer: 1.0625\ pounds or \frac{17}{16}\ pounds

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for \frac{1}{8} pound of chicken per serving . How many pounds of chicken are needed to make 8\frac{1}{2}  serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

8+0.5=8.5

Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:

\frac{1}{8}= 0.125

Let be "x" the amount of pounds are needed to make 8\frac{1}{2}  serving.

Then, you can set up the following proportion:

\frac{1}{0.125}=\frac{8.5}{x}

Solving for "x", you get:

\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625

or \frac{17}{16}\ pounds

7 0
3 years ago
send help!!!! Please!! The sum of the measures of the angles from any triangle is 180 degrees. In triangle ABC, angles A and B h
Ratling [72]

Let Angle A = X

Since Angle B is the same, angle B is also X

Then angle C = X +45


Add the 3 angles together: X +X +X +45 = 3x+45


That equals 180 degrees:

3x+45 = 180

Subtract 45 from both sides:

3x = 135

Divide both sides by 3:

X = 135/3

X = 45

Angle A = 45

Angle B = 45

Angle C = 45+45 = 90

7 0
4 years ago
What is the common denominator for 2/9 and 1/6
Alecsey [184]
18 is a common denominator 9 times 2 is 18 and 6 times 3 is 18
7 0
4 years ago
Read 2 more answers
Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per
maksim [4K]

Answer:

Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Step-by-step explanation:

From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

5 0
3 years ago
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