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vladimir1956 [14]
3 years ago
13

Find the sum of (8a + 2b – 4) and (3b – 5).

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

8a +5b -9

Step-by-step explanation:

the sum of (8a + 2b – 4) and (3b – 5)

(8a + 2b – 4) + (3b – 5)= 8a +5b -9

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A car company is designing a car that uses 12% less steel than
Olin [163]

Answer:

180 pound

Step-by-step explanation:

<h3><u>p</u><u>e</u><u>r</u><u>c</u><u>e</u><u>n</u><u>t</u><u>a</u><u>g</u><u>e</u><u>:</u></h3>

<u>t</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>1</u><u>2</u><u>%</u>

  • 12% of 1500 pounds
  • 12/100 × 1500
  • 18,000/100
  • 180

much steel will the new car model use is 180 pound

5 0
2 years ago
A garden is in the shape of a square with a perimeter of
ElenaW [278]

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

 P1= 64 feet/4 sides

 P1= 16 feet

 Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

 P2 = 20 feet x 4 sides

 P2 = 80 feet

 The sum of the perimeters of both fences is:

 PT = P1 + P2

 PT = 64 feet + 80 feet

 PT = 144 feet

 Total cost = 1.17 $ x 144 feet

 Total cost = 168.48 $

 The total cost of the fences was $ 168.48

6 0
3 years ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
Read 2 more answers
Write an equation that represents"Four less than the difference of half a number and 3 is 20 ."Use X for the variable.​
Alex73 [517]

Answer:

{(1/2)x-3}-4=20

That is your answer.

8 0
3 years ago
Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.
alexira [117]

Answer:

The correct answer is if you want no roots in the denominator, the correct answer is \frac{2x}{y}* \sqrt[3]{2y^{2} }

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when y^{2} is taken out.

5 0
2 years ago
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