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BartSMP [9]
3 years ago
10

Problem solving exercise 3d+d-7=25/4

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0
First, 4d-7=25/4
Then,4d=53/4.
Then you cross multiply, to get 16d = 53. Your final answer is 53/16, or 3 5/16. 
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Please someone help
anygoal [31]

Answer:

Nerys pays 3.1/3.84,5=84,5£per year

Eleri pays 3.84,5=253,5£per year

253,5-84,5=169£ more pay Eleri

5 0
3 years ago
if f(x)=2^x -10 and the domain of f(x) is the set of integers from -1 to 3, which values are elements of the range of f (x)? Sel
nikitadnepr [17]
The domain of the function is the range of values of x that can be used to be replaced in the equation for it to become true. We are given that the value of f(x) should range only from -1 to 3. We evaluate each of the choices and see if the values of f(x) will fall within the range.

(a) -12;   f(x) = 2^(-12) - 10 = -9.9999 (NOT AN ANSWER)
(b) -10;   f(x) = 2^(-10) - 10 = -9.999 (NOT AN ANSWER)
(c) -9;     f(x) = 2^(-9) - 10 = -9.999 (NOT AN ANSWER)
(d) -6;     f(x) = 2^(-6) - 10 = -9.98 (NOT AN ANSWER) 
(e) -2;      f(x) = 2^(-2) - 10 = -9.75 (NOT AN ANSWER)

Hence, none of the choices will allow the value of f(x) to fall between -1 and 3. 
5 0
3 years ago
Read 2 more answers
Can someone help me please
Dimas [21]

Answer:

  g(x)=-x^2-8x-22

Step-by-step explanation:

Perform the multiplication and addition:

  g(x)=-(x+4)^2-6=-(x^2+8x+16)-6=-x^2-8x-16-6\\\\g(x)=-x^2-8x-22

_____

<em>Comment on the squaring</em>

There are several ways you can find the square (x+4)².

  1. Use your knowledge that (x+a)² = x²+2ax+a².
  2. Use FOIL* to compute (x+4)(x+4) = x² +4x +4x +4² = x²+8x+16
  3. Use the distributive property: (x+4)(x+4) = x(x+4) +4(x+4) = x² +4x +4x +4² (same as FOIL for two binomials)

__

* FOIL is mnemonic for {First, Outer, Inner, Last} referring to pairs of terms in the factors (x +a)(x +b). The x terms are the First terms. The Outer terms are the first x and b. The Inner terms are "a" and the second x. The Last terms are "a" and "b". You are to form the sum of those pairs of terms to find the product of the binomials.

5 0
3 years ago
Help with special right triangle please
Ahat [919]

Answer:

Step-by-step explanation:

Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,

Hypotenuse = y

Adjacent side = x

Opposite side = 36

Therefore,

Sin # = opposite side / hypotenuse

Sin 60 = 36/y

y = 36/Sin60 = 36/0.8660 = 41.57

Cos # = adjacent side/hypotenuse

Cos 60 = x/41.57

x = 41.57Cos 60 = 41.57 × 0.5 = 20.785

Sin45 = z/36

z = 36Sin45 = 36 × 0.7071 = 25.4556

7 0
3 years ago
The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu
rjkz [21]

The balloon has a volume V dependent on its radius r:

V(r)=\dfrac43\pi r^3

Differentiating with respect to time t gives

\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}

The surface area of the balloon is

S(r)=4\pi r^2

and differentiating gives

\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}

so that at the moment the radius is 3 m, its area is increasing at a rate of

\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}

4 0
3 years ago
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