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tia_tia [17]
3 years ago
13

Mr Jansen budget is $400 for clothes. if he buys a new suit for 290$ and a tie for $35 how many shirts can he buy at 20$ each. ​

Mathematics
2 answers:
Harman [31]3 years ago
7 0
X= how many shirts he can buy
20x+290+35<400
20x+325<400
-325 -325
20x>80
20 20
X>4
The symbol is less than equal to
I hope this is right!!!!
Evgen [1.6K]3 years ago
5 0

Answer:

the answer is 3

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I need help ASAP please
pychu [463]

Answer:

The answers are: a, c, d, e

Step-by-step explanation:

I hope this helps

6 0
3 years ago
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Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
(11) Geometry Help pls
Mazyrski [523]
Answer: There are 10 sides

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

x = measure of each interior angle
y = measure of each exterior angle

We know that x = 4y as "each interior angle is four times the measure of each exterior angle"

The interior and exterior adjacent angles are supplementary
x+y = 180
4y+y = 180
5y = 180
5y/5 = 180/5
y = 36

If y = 36, then
n = 360/y
n = 360/36
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7 0
3 years ago
The probability of Sandy flipping a coin twice and getting heads both times is 0.25. The probability of John's spinner stopping
Ede4ka [16]

0.25  and  1/4  are the same number.

If each one is the probability of some event,
then both events are equally likely.

7 0
3 years ago
Read 2 more answers
The slope, m, of a linear equation can be found using the formula <img src="https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%
Svetradugi [14.3K]

Answer:

Answer c: m(x2 - x1) + y1 = y2

Step-by-step explanation:

Hi there!

Let´s start writting the formula

m = \frac{y2 -y1}{x2-x1}

If we multiplicate both sides by (x₂ - x₁):

m(x2 - x1) = y2 - y1

Then if we add y₁ to both sides of the equation:

m(x2 - x1) + y1 = y2

Then, the right answer is the answer c)

Have a nice day!

4 0
3 years ago
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