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3 years ago

5

If Ben has 5 different color pairs of pants 8 different color shirts and 4 different color belts how many different combinations

are possible

1 answer:

EastWind [94]3 years ago

5 0

Answer:

4 because there are only 4 belts and he needs the belts

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Three times a number increased by four is<br> less than -62.

klemol [59]

Answer: x<-22

Step-by-step explanation:

3x+4<-62

3x<-66

x<-22

6 0

3 years ago

Read 2 more answers

Sami cut 6 and three fourth inches off a long roll of paper if the row 36 and one third inches long how long was the original ro

cestrela7 [59]

Answer:

43 1 ÷12

Step-by-step explanation:

The computation of the length of the original roll of papers is shown below:

36 1 ÷3 and 6 3 ÷ 4 together

Now convert the above fractions into a number

36 1 ÷ 3 = 109 ÷3

And,

6 3 ÷4 = 27 ÷ 4

Now add these two numbers i.e.

109 ÷3 + 27 ÷ 4

= 436 + 81 ÷ 12

= 517 ÷12

= 43 1 ÷12

6 0

3 years ago

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 −

Goryan [66]

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

$P(x)=a(x-2)(x-6)$ ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

$8=a(4-2)(4-6)$

$8=a(2)(-2)$

$8=-4a$

Divide both sides by -4.

$\dfrac{8}{-4}=a$

$-2=a$

Putting $a=-2$ in (i), we get

$P(x)=-2(x-2)(x-6)$

$P(x)=-2(x^2-6x-2x+12)$

$P(x)=-2(x^2-8x+12)$

$P(x)=-2x^2+16x-24$

Therefore, the correct option is B.

3 0

3 years ago

What is the absolute value how do you do this problem?<br> f(x)=|-4-3|

Rainbow [258]

You subtract normally inside the absolute value (the two bars):
-4-3 is -7
Since the negative is INSIDE the absolute, the answer will turn to a positive. Think of the bars as a jail cell for the negatives. Once the negatives are in there, only positive numbers will come out. So your answer is 7.

5 0

3 years ago

Through (-1,4) and a perpendicular to 4y-2x=12

mart [117]

Answer:

<h2>y = -2x + 2 → 2x + y = 2</h2>

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\\text{then}\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2$

$\text{We have the equation of a line in the standard form:}\ Ax+By=C.\\\\\text{Convert to the slope-intercept form:}\\\\4y-2x=12\qquad\text{add}\ 2x\ \text{to the both sides}\\\\4y-2x+2x=2x+12\\\\4y=2x+12\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{2x}{4}+\dfrac{12}{4}\\\\y=\dfrac{1}{2}x+3\to\boxed{m_1=\dfrac{1}{2}}$

$\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{Put the value of the slope and the coordinates of the given point (-1, 4)}\\\text{to the equation of a line:}\\\\4=-2(-1)+b\\\\4=2+b\qquad\text{subtract 2 from the both sides}\\\\4-2=2-2+b\\\\2=b\to b=2\\\\\bold{FINALLY:}\ y=-2x+2$

$\text{Convert to the standard form:}\\\\y=-2x+2\qquad\text{add}\ 2x\ \text{to the both sides}\\\\y+2x=-2x+2x+2\\\\2x+y=2$

4 0

4 years ago