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3 years ago

Marking BRAINLIEST :D easy radical functions

Mathematics

2 answers:

Mariulka [41]3 years ago

6 0

Answer: D

Explanation:

(3x - 1) - (4x^2 - 5x + 7)
= 3x - 1 - 4x^2 + 5x - 7
= -4x^2 + 8x - 8

ryzh [129]3 years ago

5 0

Answer:

$\large \boxed{\sf \ \ \ -4x^2+8x-8 \ \ \ }$

Step-by-step explanation:

Hello,

$(f-g)(x)=f(x)-g(x)\\\\=3x-1 - (4x^2-5x+7)\\\\=3x-1-4x^2+5x-7\\\\=-4x^2+8x-8$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is

xenn [34]

Answer:

Option A is correct

3.33 ft wide should the metal piece be.

Step-by-step explanation:

Area of rectangle(A) is given by:

$A =lw$ .....[1]

l is the length and w is the width of the rectangle respectively.

As per the statement:

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²

⇒A = 30 ft²

It is also given that the length is 1 less than 3 times the width

⇒ $l = 3w -1$ ft

Substitute the given values in [1] we have;

$30 = (3w-1) \cdot w$

Using distributive property: $a \cdot (b+c) = a\cdot b+ a\cdot c$

then;

$30 = 3w^2-w$

We can write this as:

$3w^2-w-30 = 0$

Factorize this equation:

Split the middle term we have;

$3w^2-10w+9w-30 = 0$

⇒ $w(3w-10)+3(3w-10=0)$

⇒ $(3w-10)(w+3)=0$

By zero product property we have;

$3w-10 = 0$ and w+3 = 0

Since, w cannot be negative;

so,

$w = \frac{10}{3} = 3.3333..$ ft

Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.

7 0

3 years ago

Read 2 more answers

In a “Fibonacci” sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number

Fed [463]

Answer:

8th term=107

Step-by-step explanation:

Here the sequence is following the 'fibonacci's sequence of numbers.....

i.e,Tn=T(n-1) +T(n-2), where n>2 but this sequence is not fibonnaci's number , it's not starting with 0, 1,1,2........

so you cannot apply formula to calculate,you have to find 8th term by simple calculation.....

Like here 3rd term is 9 and 1st term is 2

now 3rd term = 2nd term+1st term (sum of previous two terms)

i.e, 9= 2nd term +2

i.e, 2nd term =7

now, 4th term = 3rd +2nd

= 9+7=16

again, 5th term = 4th +3rd

=16+9=25

again,6th term =5th+4th

=25+16=41

again,7th term=6th+5th

=41+25=66

again,8th term=7th+6th

=66+41=107

6 0

3 years ago

A line segment ad, contains points b & c such that c is between a and d, and b is between a and

egoroff_w [7]

If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

3 0

3 years ago

Point-Slope form (5, 1); m = 1/3

Ludmilka [50]

$(\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{5})$

4 0

2 years ago

Read 2 more answers

Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve

Dennis_Churaev [7]

Answer:

495-75=m m=420

Step-by-step explanation:

He needs to save 495 dollars, and hes already saved 75

and needs to find out how much more he needs to save to have 495 dollars

To do this, take 495 and subtract 75. This is how we get the inequality

495-75=m

From here it is simple, just subtract 75 from 495 to get 420

3 0

2 years ago