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3 years ago

If f(x-1) = 2x+3 for all values of x, what is the value of f(-3)?

Mathematics

1 answer:

stiks02 [169]3 years ago

7 0

$f(x-1)=2x+3 \\ f(-2-1)=2 \cdot (-2)+3 \\ f(-3)=-4+3=-1 \\ answer \ D)$

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The hypotenuse of a right triangle is 7 inches,and one of the legs is 13 inches.Find the length of the other leg.

Firlakuza [10]

$13^{2} plus b^{2} =7^{2} 

169 plus b^{2} = 49
$

6 0

3 years ago

If you know the diameter of a circle,

arsen [322]

Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = $\frac{1}{2}$ diameter.

Step 2: substitute radius into the formula.

Area of a circle = π( $\frac{1}{2}$ d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14( $\frac{1}{2}$ d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = $\frac{1}{2}$ diameter.

Step 2: substitute radius into the formula.

C = 2π( $\frac{1}{2}$ d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)( $\frac{1}{2}$ d)

Step 4: substitute d into the formula, then we can solve its circumference.

6 0

2 years ago

Dadas las funciones f(x) = x + 3, g(x)= x(cuadrada)+ 5x + 6,r(x) = x+2, s(x) = x(cuadrada) - 3x - 10

Aleksandr [31]

So the answer is D hope this would help you

5 0

3 years ago

Judy spent 3 hours driving 165 miles She thinks

sasho [114]

Step-by-step explanation:

she drove already 165 miles.

she will reach her destination, if she drives 4 more hours by going 65 miles/hour.

that would mean she would travel

65×4 = 260 miles

in these 4 hours.

so, the total trip is then 165 + 260 = 425 miles.

but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.

as you can see above, it would make no difference for the calculation of the total trip length in miles.

this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.

if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.

so,

(165 + x)/(3 + 4) hours = 65/hour

(165 + x)/7 hours = 65/hour

165 + x = 65 × 7 hours / hour = 65×7 = 455 miles

x = 455 - 165 = 290 miles

she would have to go

290 miles / 4 hours = 72.5 miles/hour

for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.

and the total trip would be then

165 + 290 = 455 miles

I am not sure, which your teacher wants here.

65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.

again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).

6 0

2 years ago

Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the neares

iris [78.8K]

Answer:

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6 0

3 years ago