MATHEMATICS HIGH SCHOOL

Solve this inequality: 3b – 7 < 32 A. b < 8.33
B. b < 39
C. b < 5
D. b < 13

Answers

Answer 1
Answer:

Answer:

D) b < 13 .

Step-by-step explanation:

Given  :  3b – 7 < 32 .

To find : Solve this inequality.

Solution : We have given 3b – 7 < 32 .

On adding 7 both sides both sides.

3b < 32 + 7.

3b < 39.

On dividing both sides by 3.

b < 13 .

Therefore, D) b < 13 .
Answer 2
Answer: It's a lot like solving equations.

3b-7 < 32
Add 7 to each side.
3b < 39
Divide by 3 on each side.
b < 13

Hope this helps :)

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Solve for x : 2x^2+4x-16=0

Answers

2x^2+4x-16=0\ \ \ /:2\n\nx^2+2x-8=0\n\n\underbrace{x^2+2x\cdot1+1^2}_((*))-1^2-8=0\n\n(x+1)^2-1-8=0\n\n(x+1)^2-9=0\n\n(x+1)^2=9\iff x+1=-3\ or\ x+1=3\n\nx=-3-1\ or\ x=3-1\n\nx=-4\ or\ x=2\n\n\n(*)\ (a+b)^2=a^2+2ab+b^2



2x^2+4x-16=0\ \ \ /:2\n\nx^2+2x-8=0\n\na=1;\ b=2;\ c=-8\n\n\Delta=b^2-4ac\ if\ \Delta > 0\ then\ x_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=2^2-4\cdot1\cdot(-8)=4+32=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(-2-6)/(2\cdot1)=(-8)/(2)=-4;\ x_2=(-2+6)/(2\cdot1)=(4)/(2)=2
in order to solve it, we need find the zero of the polynomial.

we find the zero of the polynomial by splitting the middle term method

2x2 -+ 4x - 16

= 2x2 + 8x - 4x -16

= 2x( x + 4)- 4(x + 4)
= (2x-)(x+4)

we find the zeroes of the factors

experimentally we find two values, 2 and -4.

Thus, values of x are 2 and -4

Arthur baked 1 7/12 dozen muffins. Nina baked 1 1/12 dozen muffins. How many dozen muffins did they bake?

Answers

Answer:

Total number of dozen muffins they both bake is 2(8)/(12)    

Step-by-step explanation:

Given : Arthur baked 1(7)/(12) dozen muffins. Nina baked 1(1)/(12) dozen muffins.

We have to find the total number of dozen muffins did they both bake.

To find the total number of dozen muffins did they both bake is equal to number of dozen of muffins Arthur bake and  number of dozen of muffins Nina bake

That is

Mathematically written as ,

Total number of dozen muffins = number of dozen of muffins Arthur bake + number of dozen of muffins Nina bake

Given : Arthur baked 1(7)/(12) dozen muffins

and Nina baked 1(1)/(12) dozen muffins.

Total number of dozen muffins = 1(7)/(12)+1(1)/(12)  

Simplify, we get,

Total number of dozen muffins = 1(19)/(12)+(13)/(12)  

Adding, we get,

Total number of dozen muffins = 1(19+13)/(12)=(32)/(12)  

Thus, Total number of dozen muffins they both bake is 2(8)/(12)    
they baked 2 dozen because each dozen is 12  so one did 17 + another did 11 = 28 and divide it by 12 get. 2 dozens.

What is the value of the expression? 1/4-3/7 times 7/8






A. -1/2







B.-1/8















C. 1/8









































D.1/2





































NEED HELP FAST!

Answers

why did u spread that so much

1/4-3/7*7/8 = 1/4 - 3/8  = 2/8 - 3/8 = -1/8

2,7,26,101,400 what is the next number

Answers

The next number in the sequence is 1595.

Here, given that, the sequence of numbers is: 2,7,26,101,400....

The relationship between the successive numbers in the sequence:

x_((n+1)) = 4x_n - n

Now, applying it to the given sequence:

x_1 = 2\nx_2 = 4 * 2 - 1 = 7\nx_3 = 4 * 7 - 2 = 26\nx_4 = 4 * 26 - 3 = 101\nx_5 = 4 * 101 - 4 = 400

As we can see, the formula x_((n+1)) = 4x_n - n holds true for each term in the sequence, and it gives us the correct values for the subsequent terms.

Now, to find the next number in the sequence,

we use the formula with n = 5:

x_((5+1)) = 4 * x_5 - 5\nx_6 = 4 * 400 - 5\nx_6 = 1600 - 5\nx_6 = 1595

So, the next number in the sequence is 1595.

learn more on sequence:

brainly.com/question/17430673

#SPJ3
a_1=2\na_2=4*a_1-1=4*2-1=7\na_3=4*a_2-2=4*7-2=26\na_4=4*a_3-3=4*26-3=101\na_5=4*a_4-4=4*101-4=400\na_6=4*a_5-5=4*400-5=1595

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.” What is the inverse of the original conditional statement?

A. If a figure is a polygon, then the sum of the exterior angles is 360°.

B. If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.

C. If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.

D. If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

Converse statement : If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.

Now, to form a converse statement, the conclusion becomes the hypothesis and the hypothesis becomes the conclusion.

So, to form the original statement of the given converse statement : Hypothesis will become conclusion and the conclusion becomes our hypothesis.

⇒ Original Statement : The figure is a polygon if the sum of the exterior angles of a figure is 360°.

Now to form the inverse we need the negation of both hypothesis and the conclusion.

Hence, The inverse of the original statement is : If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Therefore, The correct option is D.
The answer is D because the statement is saying it's not a polygon if the sum of the exterior angles is not 360 which is the opposite of the statement

Solve : cos X + sin X = 0
Pls all answers in radians
thanks

Answers

cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

tan(x) = -1

x = 135° and 315°

x = 3/4 pi radians  and  7/4 pi radians
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