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3 years ago

Can you help me with these questions please?

Mathematics

1 answer:

Marianna [84]3 years ago

5 0

The answers are following

sol1 y = x-1

sol2 y= x+ 7

sol4 y = x+4

Step-by-step explanation:

Solution 1

Here we are going put the point in the given equation ( given in the options)

If the each point satisfies any equation, that will be the relationship between x and y.

Given points are (-3,-4) , (2,1) , (5,4)

Let us take the option C as y = x -1

-4 = -3-1

1 = 2-1

4=5-1

Putting each value in the given equation we get LHS and RHS are same for all points. so, C is the answer.

Similarly, option B is the answer of Solution 2

Each point satisfies the equation y = x +7

Solution 4

y = x +4

You are requested to check the options of Q3 once.

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The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p

Romashka-Z-Leto [24]

Answer:

(c) For p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here, The dividend expression is $4x^2-p(x)+7$ = E(x)

The Divisor = (x-3)

Remainder = -2

Now, by <u>REMAINDER THEOREM</u>:

Dividend = (Divisor x Quotient) + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒ x = 3 is a solution of given polynomial E(x) - (-2) =

$E(x) - (-2) = 4x^2-p(x)+7 -(-2) = 4x^2-p(x)+9$ = S(x)

Now, S(3) = 0

⇒ $4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p =15$

or, p =1 5

Hence, for p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

6 0

3 years ago

How many points are shared by two parallel lines

Debora [2.8K]

None parallel means they are the same but are side by side, they don't touch or meet

3 0

3 years ago

Read 2 more answers

Amy's grandmother gave her 3 identical chocolate chip cookies and 4 identical sugar cookies. In how many different orders can Am

Dmitrij [34]

Answer:

chocolate chip cookie first: 15 ways

chocolate chip cookie last: 15 ways

chocolate chip cookie first and last: 5 ways

Step-by-step explanation:

There is a total of 7 cookies.

Is she eats a chocolate cookie first, she will have 2 chocolate cookies and 4 sugar cookies (6 in total).

So, to find the number of different orders that Amy can eat the remaining cookies, we just need to calculate a combination of 6 choose 2 (that is, the number of ways we can put the 2 chocolate cookies among the 6 cookies) or a combination of 6 choose 4 (same thing, but for the sugar cookies):

C(6,2) = 6! / (2! * 4!) = 6 * 5 / 2 = 15 ways

Is she eats a chocolate cookie last, she will have 2 chocolate cookies and 4 sugar cookies (6 in total), so the problem is solved again with a combination of 6 choose 2:

C(6,2) = 15 ways

Is she eats a chocolate cookie first and last, she will have just 1 chocolate cookie left and 4 sugar cookies (5 in total), so the problem is solved with a combination of 5 choose 1 or a combination of 5 choose 4:

C(5,1) = 5! / (1! * 4!) = 5 ways

6 0

3 years ago

un frasco de jugo tiene una capacidad de 3/8 de litro ¿cuantos frascos se pueden llenar con cuatro litros y medio de jugo?

tangare [24]

Tenemos que

la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros

realizamos una regla de tres
si un frasco tiene capacidad para--------------> 3/8 litros
X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos

la respuesta es
12 frascos

6 0

3 years ago

I need help with this pleaseee

Over [174]

Answer:5 percent

Step-by-step explanation: subtract new amount minus old amount then divide then make the decimal you get into and change to a percent

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3 years ago