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Igoryamba
2 years ago
14

3. For what value of x is

Mathematics
1 answer:
liraira [26]2 years ago
7 0

Answer:

3. x=7

4. f(4)= -24

Step-by-step explanation:

2. Since the bases are equal, equate the powers;

2x+3=17

2x=14

x= 14/2

x=7

3. Putting x as 4 in the function

=3(4²) - 4[3(4) + 6]

=3(16) - 4(12+6)

=3(16) - 4(18)

=48 - 72

f(4) = -24

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To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?
nirvana33 [79]
<h3><u>Question:</u></h3>

"To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?

1 , 2.5 , 6.25, 15.625, ..."

<h3><u>Answer:</u></h3>

The value of the next term is 39.0625

<h3><u>Solution:</u></h3>

Given that the series is 1 , 2.5 , 6.25, 15.625

When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5

So, all the successive numbers are 2.5 times of their previous number  

1 \times 2.5 = 2.5\\\\2.5 \times 2.5 = 6.25\\\\6.25 \times 2.5 = 15.625\\\\15.625 \times 2.5 = 39.0625

So the value of next term is 39.0625

6 0
3 years ago
(Distribute , then simplify the remaining expression. Final answer must be in standard form) Please help !!
Sergeu [11.5K]
Problem 22
4x^2(2x^2+x-5) - x(x^3+5x^2-3) + 17
4x^2(2x^2)+4x^2(x)+4x^2(-5) - x(x^3)-x(5x^2)-x(-3) + 17
8x^4+4x^3-20x^2 - x^4-5x^3+3x + 17
7x^4-x^3-20x^2+3x + 17

So the final simplified answer to problem 22 is
7x^4-x^3-20x^2+3x + 17

--------------------------------

Problem 23
-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)
-2x(x^3)-2x(-6x^2)-2x(6)+4x^3-(5x^4)-(10x)
-2x^4+12x^3-12x+4x^3-5x^4-10x
-7x^4+16x^3-22x

So problem 23 simplifies to
-7x^4+16x^3-22x

---------------------------------------------------------

Problem 24
4b[2a^2-5(3ab-2b^2)]+29ab^2
4b[2a^2-5(3ab)-5(-2b^2)]+29ab^2
4b[2a^2-15ab+10b^2]+29ab^2
4b[2a^2]+4b[-15ab]+4b[10b^2]+29ab^2
8a^2b-60ab^2+40b^3+29ab^2
8a^2b-31ab^2+40b^3

So problem 24 simplifies to 
8a^2b-31ab^2+40b^3

-------------------------------------------------

Problem 25
2y(6x-4x^2y)+13x^2y^2-6
2y(6x)+2y(-4x^2y)+13x^2y^2-6
12xy-8x^2y^2+13x^2y^2-6
12xy+5x^2y^2-6

The final answer for problem 25 is
12xy+5x^2y^2-6
8 0
3 years ago
PLEASE HELP
ollegr [7]

Answer:

The answer is c i think not 100% sure

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sides of a rectangular room are perpendicular to each other.
stiv31 [10]

Answer:

120 m^2

Step-by-step explanation:

Length of the room = 10 m

Breadth of the room = 12 m

We know that, Area = Length * Breadth

Hence,

Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2

5 0
2 years ago
HELP!! 15 POINTS
Sladkaya [172]
<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33) 
</span><span>
Yes y=1.375x 

</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36) 
</span>No y does not very directly with x*** <span> 

</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580) 
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship. 
</span><span>58/1 your car travels 58 miles in 1 hour 

</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3) 

</span>-1/3 

<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7) 
</span>
-3 

<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3) 

-26/27 

</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3 
 
Y-2=3(X-5) 


7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5 

Y+5=-2/5(X+3) 

</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54 

Y+7=-0.54(x-4) 

9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64) 

Y-16=8(X-2)*** 
</span>
<span>10. Write y=-2/3x+7 in standard form

2x+3y=21 



11. Write y=-1/2x+1 in standard form using integers 

X+2y=2 

</span>
3 0
3 years ago
Read 2 more answers
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