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ZanzabumX [31]
3 years ago
9

Determine the factors of 4x2 5x − 6 a(4x − 2)(x 3) b(4x − 3)(x 2) c (4x − 6)(x 1) d(4x − 1)(x 6)

Mathematics
2 answers:
Lelu [443]3 years ago
8 0
4x^2 + 5x - 6 = (4x - 3) (x + 2)

You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2

Then you have to make (x- 3/4) = 0 and (x +2 ) = 0

When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.

Answer: option b: (4x -3)(x + 2)
aliina [53]3 years ago
3 0

The answer is (4x - 3)

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there are seven steel plates in a stack. one steel plate is 3/4 inches thick. calculate hight of the stack of steel plates
Neporo4naja [7]

Answer:

Below in bold.

Step-by-step explanation:

Height of stack

= 7 * 3/4

= 21/4

= 5 1/4 inches high.

5 0
1 year ago
a bicycle has a listed price of $821.95 before tax. if the sales tax rate is 6.5%, find the total cost of the bicycle with sales
BlackZzzverrR [31]

Answer:

$875.39

Step-by-step explanation:

1) Divide the tax rate (6.500%) by 100 to get a decimal rate of 0.06500.

2) Multiply the purchase price ($821.95) by the 0.06500 to get a sales tax amount of $53.43.

3) Add the $53.43 sales tax to the $821.95 price to get a total of $875.38.

4) Round $875.38

3 0
3 years ago
Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
Anarel [89]
Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let 

y' = y-coordinate after walking due south
z' = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of (100, y', z'). Moreover,

z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}

Since the y-coordinate decreases after walking due south and z' = 1350 - 0.01(y')^2,

y'  \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
5 0
3 years ago
Find the missing side.​
sesenic [268]

Answer:

10

Step-by-step explanation:

Area of traingle:1/2

50=1/2.10.x

50=5x

50/5=5x/5

50/5=5x/5  

x=50/5

x=10

3 0
3 years ago
Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.)
mote1985 [20]

For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

<h3>Integers divisible by 3</h3>

The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.

<h3>Proof for the divisibility</h3>

111 = 1 + 1 + 1 = 3  (the sum is multiple of 3 = 3 x 1)  (111/3 = 37)

222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2)  (222/3 = 74)

213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2)  (213/3 = 71)

27 = 2 + 7 = 9  (the sum is multiple of 3 = 3 x 3)  (27/3 = 9)

Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

Learn more about divisibility here: brainly.com/question/9462805

#SPJ1

5 0
2 years ago
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