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3 years ago

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The polynomial y = x2 - 5x + 4 has a repeated factor. (It may help to graph the equation.)

1 answer:

joja [24]3 years ago

5 0

SOLUTION:

y = x^2 - 5x + 4

y = x^2 - 4x - x + 4

y = x ( x - 4 ) - ( x - 4 )

y = ( x - 4 ) ( x - 1 )

ANSWER:

Therefore, the answer is:

A. True.

Hope this helps! :)
Have a lovely day! <3

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Which of the following polynomials is a binomial

Dima020 [189]

Hey there!

A binomial is a polynomial that contains two terms. Terms are separated from one another by mathematical symbols, such as +, –, and ×. A term can be a variable, a variable with a coefficient, a constant, or really any combination of coefficient, variable, and exponent that you can think of. For example...

(3x² – xy)

(x + 3)

(5x – 6y)

...are all binomials.

Hope this helped you out! :-)

5 0

3 years ago

Read 2 more answers

Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct

expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

$y = -4.5x + 15$

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1.5,5)$

$(x_2,y_2) = (2.5,0)$

So, we have:

$m = \frac{0-5}{2.5 - 1.5}$

$m = \frac{-5}{1}$

$m = -5$

For function B

The general function is:

$y = mx + b$

Where

m is the rate of change

By comparing $y = mx + b$ to $y = -4.5x + 15$

$m = -4.5$

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0

3 years ago

Solve for p: √p − 1 − √p = 1

astraxan [27]

<span>√p − 1 − √p = 1
- 1 = 1 (</span>√p is canceled out)<span>
since -1 cant equal 1 so there's no solution</span>

4 0

4 years ago

5601 in scientific notation

Anna007 [38]

5.601 x 10^3

Hope that helped!

8 0

3 years ago

each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the per

Montano1993 [528]

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

192 cm²

<h3><u>Step</u><u> </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u></h3>

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

<u>According</u><u> to Pythagoras Theorem :- </u>

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

<h3><u>★</u><u> </u><u>Hence</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the </u><u>tria</u><u>ngle</u><u> is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cm²</u><u> </u><u>.</u></h3>

8 0

3 years ago