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boyakko [2]
3 years ago
9

Can someone explain this to me ?

Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0

Suppose you had f=6, g=2, h=3 and you were asked to find

f - g - h

You would do it by substituting the given values for the letters to get

6 - 2 - 3

And this can be simplified to

1

_____

The question at hand is basically the same. You are given values of f(x), g(x), h(x) and asked to find their signed sum.

f(x) - g(x) - h(x)

= (3x+5) - (4x²-2) - (x²-3x+1) . . . . substitute the given values

= 3x + 5 - 4x² + 2 - x² + 3x - 1 . . . use the distributive property to eliminate parentheses. A minus sign in front changes the sign of every term inside parentheses.

= x²(-4-1) +x(3+3) +(5+2-1)

= -5x² + 6x + 6 . . . . . . collect terms . . . . matches the first choice

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The degree measure of angle a is 135°. which expression below is equivalent to the radian measure of angle a?
Kazeer [188]

It is given that \angle a=135^{\circ}.

Now, know that in 180 degrees there are \pi radians. This can be written as:

180^{\circ}=\pi radians

\therefore 1^{\circ}=\frac{\pi}{180} radians (dividing both sides by 180)

Thus, to find the measure of the given angle of 135^{\circ} in radians, we will have to multiply the above equation by 135. Thus, we get:

135^{\circ}=\frac{\pi}{180}\times 135 radians

135^{\circ}\approx2.356 radians

Thus, equivalent to the radian measure of angle a is 2.356


7 0
4 years ago
Read 2 more answers
Write the equation of a line that is perpendicular to the line y= - 1/3x +8 and passes through the point (0,-4)
pantera1 [17]
The answer would be y = 3x-4
8 0
3 years ago
Y=-5x+6<br> y=3x-2<br><br> Find the solution to the system of equations.
Kobotan [32]

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 6 → (1)

y = 3x - 2 → (2)

Since both equations express y in terms of x, equate the right sides

3x - 2 = - 5x + 6 ( add 5x to both sides )

8x - 2 = 6 ( add 2 to both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 in (2)

y = 3(1) - 2 = 3 - 2 = 1

Solution is (1, 1 )

4 0
3 years ago
Read 2 more answers
Manny buys a new grill that costs $375. The grill is discounted 22% and sales tax is 6.5%. How much does Manny pay for the grill
Svetllana [295]

Answer:

$310.05

Step-by-step explanation:

Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.

Original price: $375

Discount of 22%

22% of $375 = 0.22 × $375 = $82.50

Price after discount (but before tax): $375 - $82.50 = $292.50

Sales tax of 6%

6% of $292.50 = 0.06 × $292.50 = $17.55

Price after discount and tax: $292.50 + $17.55 = $310.05

Method 2: Add and subtract the discount percent and the tax percent first, then multiply.

Original price: $375

The discount is 22%.

The original price is 100%.

Subtract 22% from 100%: 100% - 22% = 78%

The discounted price is 78% of the original price.

Once you have the discounted price, tax is 6%.

The new discounted price is 100%. Add 6% to get 106%.

The price with tax is 106% of the discounted price.

106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05

Answer: $310.05

3 0
2 years ago
What is k? In simplest radical form
Lorico [155]

k = 10

Using trigonometric ratio then;

sin30 = opp/hyp

0.5 = 5/k

cross multiply

0.5k = 5

Divide both sides by 0.5

k = 5/0.5

k=10

7 0
4 years ago
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