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Ne4ueva [31]
3 years ago
13

For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

c. -x + 3x + 7  = 2x+7

Step-by-step explanation:

f(x) = 3x +1 and g(x) = x - 6

f-g = 3x +1 - ( x - 6)

Distribute the minus sign

     = 3x+1 - x+6

     = 2x +7

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If 10+9=21 than is 1+1= 2?
Andre45 [30]
I guess so, no wait no it’s not jk lol
4 0
3 years ago
Find the area of the trapezoid below.
Pani-rosa [81]

Answer: 54 cm²

Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.

The formula for the area of a trapezoid is shown below.

Area =\frac{1}{2} (^{b} 1 + ^{b}2)h

The <em>b's</em> represent the bases which are the parallel sides and <em>h</em> is the height.

So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have \frac{1}{2} (6 cm +12cm)(6 cm).

Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have \frac{1}{2}(18 cm)(6 cm).

\frac{1}{2} (18 cm) is 9 cm and we have 9 cm · 6 cm of 54 cm²

So the area of the trapezoid shown is 54 cm².

7 0
3 years ago
A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear
snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

6 0
3 years ago
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.
SCORPION-xisa [38]

Answer:

{-3/2, 4}

Step-by-step explanation:

Use synthetic division here.  If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4.  Perform the synthetic division as follows:

-4       4     -10    -24

                 -16     108

------------------------------

          4      -26     84              The remainder is 84, which tells us -4 is NOT

                                                a root/solution.

Try -3/2 as divisor this time:

-3/2    4     -10    -24

                   -6    24

------------------------------

          4      -16       0            Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also.  Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).

8 0
3 years ago
Read 2 more answers
6x+2y=<br> −10 <br> slope int form
valentinak56 [21]

Answer:

y = -3x -5

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercep

6x+2y = -10

Subtract 6x from each side

6x+2y -6x = -6x-10

2y = -6x-10

Divide each side by 2

2y/2 = -6x/2 -10/2

y = -3x -5

7 0
1 year ago
Read 2 more answers
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