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3 years ago

Can someone please be generous and help me

Mathematics

1 answer:

Ugo [173]3 years ago

7 0

Answer:

The point slope form is $y-y_{1} =m(x-x_{1} )$

The slope(m) can be calculated using $\frac{y-y_{1} }{x-x_{1}}$ :

$(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3$

Using Point One, the point-slope form is determined as:

$y-(-3)=3(x-4)\\y+3=3(x-4)$

The y-intercept(b) can be calculated as:

$(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)$

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What is the circumstance of 12cm ?

konstantin123 [22]

Answer:

37.68 cm

Step-by-step explanation:

The formula for circumference is C= 2* (3.14) r

First you can actually cut 12 by 1/2

12 * 1/2 is 6. This works because 12 is an even number.

2 * 3.14 (6) gives you 37.68 cm.

So i believe the answer is 37.68 cm.

8 0

3 years ago

A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can repres

VLD [36.1K]

Answer:

(x^4) - 64x

Step-by-step explanation:

zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors

$x^{1} *(x-4)^{3}$ becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4

now to write this in standard form

$x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x$

8 0

2 years ago

Derek saves 10% of his paycheck each week to buy a mountain bike the mountain bike costs 340.00 Derek receives a paycheck in the

katrin2010 [14]

Answer: 13 weeks

Step-by-step explanation:

First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)

7 0

2 years ago

Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±

navik [9.2K]

ANSWER

The possible rational roots are:

$\pm\frac{1}{2},\pm2,\pm \frac{5}{2}$

EXPLANATION

According to the rational root theorem, the possible rational roots of the polynomial,

$4x^3+9x^2-x+10=0$

are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.

Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.

For

$\pm\frac{1}{2}$ , we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.

The same thing applies to $\pm2,\pm \frac{5}{2}$ also.

As for

$\pm \frac{2}{5}$ , 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.

5 0

2 years ago

Suppose a - b = 0a−b=0a, minus, b, equals, 0. Which one of these expressions equals a+ba+ba, plus, b?

Lelu [443]

First we have the following equation:
a - b = 0
We clear one of the variables depending on the other:
a = b
Therefore we have to for the following expression:
a + b
We can substitute one of the variables, obtaining:
a + a = 2a
Equivalently:
b + b = 2b
Answer:
a + b = 2a
or
a + b = 2b

6 0

3 years ago