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3 years ago

Which of the following represents a function?

Mathematics

1 answer:

N76 [4]3 years ago

6 0

Answer:

1 i koow

Step-by-step explanation:

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A. Two numbers are in the ratio 5:7. When 3 is added to each number, the new ratio becomes 3 : 4. Find the numbers.

Usimov [2.4K]

Answer:

answer is 3 and ratio of two different numbers

5 0

3 years ago

Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. L

miskamm [114]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

7 0

3 years ago

The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

7 0

3 years ago

Factor completely 4u^2-28u+49

aleksandrvk [35]

Assignment: $\bold{Factor \ 4u^2-28u+49}$

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Answer: $\boxed{\bold{\left(2u-7\right)^2}}$

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Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Rewrite $\bold{4u^2-28u+49}$

$\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

[ Step Two ] Apply perfect square formula

Note: Perfect Square Formula: $\bold{\left(a-b\right)^2=a^2-2ab+b^2}$

$\bold{a=2u,\:b=7}$

$\bold{\left(2u-7\right)^2}$

<><><><><><><>

$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

6 0

3 years ago

What is the value of a in the polynomial

Alexandra [31]

Answer: a= 16

Step-by-step explanation:

We have the following expression:

$(y-4)(y^2 +4y +16)$

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

$(y-4)(y^2 +4y +16)$

until you transform it to the form:

$y^3 +4y^2 +ay -4y^2 -ay-64$

Then we have

$(y-4)(y^2 +4y +16)\\\\(y^3 +4y^2 +16y -4y^2 -16y-64)\\\\$

Therefore the value of a in the polynomial is 16

5 0

3 years ago