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2 years ago

6

Jack has six less than five times the number of baseball cards that Mark has. if Mark has 10 baseball cards, how many baseball c

ards would Jack have?

1 answer:

ASHA 777 [7]2 years ago

6 0

Answer:

44

Step-by-step explanation-

Jack has 6 less than 5 times what mark has, if we write it out, we have (5*mark)-6. We know that mark has 10, so if we replace it we have

(5*10)-6 we get 50-6 which equals 44

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Please help i always give brainliets and thanks

pav-90 [236]

Answer:

(3)

Step-by-step explanation:

(1), (2) and (4)

can be written as Fr= p1-p2, F and r are inversely proportional

(3) r is directly proportional with F which is opposite to the given formula

hence this is incorrect

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2 years ago

The length of a rectangular swimming pool is twice as long as its width. If the perimeter of the pool is

Nitella [24]

The perimeter of a rectangle is the sum of its sides, which are two widths and two lengths:

$p=w+w+l+l$

Since the length is twice the width, we have $l=2w$ , and the formula for the perimeter becomes

$p=w+w+2w+2w=6w$

So, we have

$6w=120 \iff w=\dfrac{120}{6}=20$

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2 years ago

Please help... I really need this.

valentinak56 [21]

Answer:

$\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}$

Step-by-step explanation:

The division problem given to us is $(4x^3-3x^2+5x+6)\div (x+6)$ .

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is $x+6=0\implies x=-6$ .

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4 -27 167 -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is $q(x)=4x^2-27x+167$ and the remainder is $r(x)=-996$ .

The dividend, the quotient and the divisor are written as

$\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}$

The correct answer is A

3 0

2 years ago

The function f(x)=2/3x-4 was replaced with f(x+k)=2/3x-6 what is the value of k

HACTEHA [7]

Answer:

The given function $f(x)=\frac{2x}{3}-4$ was replaced with $f(x+k)=\frac{2x}{3}-6$ then the value of k is -3

that is k=-3.

Step-by-step explanation:

The given function is $f(x)=\frac{2x}{3}-4\hfill (1)$

and when x=x+k then $f(x+k)=\frac{2x}{3}-6\hfill (2)$

Now to find the value of k:

Put x=x+k in the function f(x)

$f(x)=\frac{2x}{3}-4$

$f(x+k)=\frac{2(x+k)}{3}-4$

$f(x+k)=\frac{2x+2k}{3}-4\hfill (3)$

Now comparing equations (2) and (3) we get

$f(x+k)=\frac{2x+2k}{3}-4=\frac{2x}{3}-6$

$\frac{2x+2k}{3}-4=\frac{2x}{3}-6$

$\frac{2x+2k}{3}-4-\frac{2x}{3}+6=0$

$\frac{2x}{3}+\frac{2k}{3}-4-\frac{2x}{3}+6=0$

$\frac{2k}{3}+2=0$

$\frac{2k}{3}=-2$

$k=\frac{-2\times 3}{2}$

$k=-3$

Therefore k=-3

Therefore the given function $f(x)=\frac{2x}{3}-4$ was replaced with $f(x+k)=\frac{2x}{3}-6$ then the value of k is -3

that is k=-3.

7 0

2 years ago

Which equation represents a circle with a center at -3, -5) and a radius of 6 units?

vesna_86 [32]

Answer:

(x+3)²+(y+5)² = 36

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given

Centre (-3, -5)

a = -3 and b = -5

radius r = 6units

Substitute

(x-a)²+(y-b)² = r²

(x-(-3))²+(y-(-5))² = 6²

(x+3)²+(y+5)² = 36

hence the required equation is (x+3)²+(y+5)² = 36

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2 years ago