MATHEMATICS HIGH SCHOOL

Which statement about 4x2 + 19x – 5 is true? One of the factors is (x – 4). One of the factors is (4x + 1). One of the factors is (4x – 5). One of the factors is (x + 5).

Answers

Answer 1

Answer:

Answer:

Only "One of the factors is (x + 5)." is TRUE.

Step-by-step explanation:

What makes $(x-4)$ equal to 0?

$x-4=0\nx=4$

What makes $(4x+1)$ equal to 0?

$4x+1=0\n4x=-1\nx=-(1)/(4)$

What makes $(4x-5)$ equal to 0?

$4x-5=0\n4x=5\nx=(5)/(4)$

What makes $(x+5)$ equal to 0?

$x+5=0\nx=-5$

Note: Putting all those 4 values into the function $4x^(2)+19x-5$ , whichever value makes the function equal to 0, the corresponding expression would be considered a factor of the function $4x^2+19x-5$ .

Putting $x=4$ into $4x^(2)+19x-5$ gives us:

$4(4)^(2)+19(4)-5\n=135$

Putting $x=-(1)/(4)$ into $4x^(2)+19x-5$ gives us:

$4(-(1)/(4))^(2)+19(-(1)/(4))-5\n=-(19)/(2)$

Putting $x=(5)/(4)$ into $4x^(2)+19x-5$ gives us:

$4((5)/(4))^(2)+19((5)/(4))-5\n=25$

Putting $x=-5$ into $4x^(2)+19x-5$ gives us:

$4(-5)^(2)+19(-5)-5\n=0$

As we can see, only putting $x=-5$ in the function gives us a value of 0. So the corresponding expression $(x+5)$ is a factor of the function.

Answer 2

Answer: $4 x^(2) + 19x - 5 \n \n 4 x^(2) + 20x - x - 5 \n \n 4x(x + 5)-(x + 5) \n \n (x + 5)(4x - 1)$

The answer is D) one of the factors of (x + 5). Why?

(x - 4) is not one of the factors.
(4x + 1) is not one of the factors.
(4x - 5) is not one of the factors.
(x + 5) IS one of the factors.

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(64/9)^(-2/3) Simplify the expression

N/8 = 11/5
what is n= ?

Answers

Answer:

(n)/(8)=(11)/(5)

Step-by-step explanation:

Multiply both sides of the equation by

⋅

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of

Tap for more steps...

⋅

Multiply

(

)

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

17.6

Mixed Number Form:

Please help me find the area of the triangle above

Answers

The answer is 60 square inches

What is the exact volume of the sphere?. . A.. 463.01 m3. . B.. 147.456 m3. . C.. 96.46 m3. . D.. 36.868 m3

Answers

The volume of the sphere : ( r = 4.8 m )
V = 4/3 r³ π = 4/3 · ( 4.8 m )³ · 3.14 = 4/3 · 110.592 · 3.14 = 463.01 m³
Answer: A ) 463.01 m³

What is the exact volume of the sphere?

Answer: since you did not provide the sphere in order to find the volume there is no way to find the volume. In order to find the volume if a sphere we simply have to use the following formula : v = ¾(Pi)r³.

I hope it helps, Regards.

Which of the following equations is of a parabola with a vertex at (0, 3)?

Answers

Parabola has a vertex at: ( 0, 3 )
h = 0, k = 3;
y = a ( x - h )² + k
a = 1
y = ( x - 0 )² + 3
y = x² + 3
Answer:
The parabola with a vertex at ( 0, 3 ) is : y = x² + 3

The equation that is of a parabola with a vertex at (0, -3), is $y=x^2+3$ .

A 10 miles per hour
b 15 miles per hour
c 30 miles per hour
d 65 miles per hour

Answers

Answer: B) 15 mph

====================================================

Explanation:

The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.

The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.

Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.

Subtract the two speeds to get 65-50 = 15 mph

Which product is equivalent to 25x2 – 16?(5x − 4)(5x + 4)
(5x + 8)(5x − 8)
(5x − 4)(5x − 4)
(5x − 8)(5x − 8)

Answers

ANSWER
$25 {x}^(2) - 16 =( {5x - 4})(5x + 4)$

EXPLANATION

We want to factor the expression,

$25 {x}^(2) - 16$

We can rewrite the expression as

$25 {x}^(2) - 16 = ({5x})^(2) - {4}^(2)$

The expression is now a difference of two squares,

Recall that,

${a}^(2) - {b}^(2) = (a - b)(a + b)$

The expression now becomes;

$25 {x}^(2) - 16 =( {5x - 4})(5x + 4)$

Therefore the correct answer is option A.

Answer:

Step-by-step explanation:

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