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Law Incorporation [45]
3 years ago
15

1. Which of the following represents a function?

Mathematics
2 answers:
trapecia [35]3 years ago
7 0
1. 3rd one, because for each x there's only one y.

2. The domain are x's, so it's <span> {2, 4, 6, 8}

3. </span>The range are y's, so it's <span> {1, 2, 3, 4}

4.
p=kd\\&#10;7=3k\\&#10;k=\dfrac{7}{3}\\&#10;p=\dfrac{7}{3}d\\&#10;d=\dfrac{3}{7}p\\&#10;d=\dfrac{3}{7}\cdot28=12

5.</span> T(-4)=7-(-4)=7+4=11

6. <span>f(x) = - |x| + 2

7.
C=kt\\&#10;800=4k\\&#10;k=200\\&#10;C=200t
</span>

agasfer [191]3 years ago
6 0
1.\\\#1\ not\ because\ for\ x=-2\to y=2\ and\ y=6\\\#2\ not\ because\ for\ x=1\to y=1\ and\ y=2\\\#3\ \boxed{IT'S\ OK}\leftarrow answer\\\#4\ not\ because\ for\ x=1\to y=2\ and\ y=3\ and...

2.\ (x;\ y)\to x\in D-domain\\\\therefore:\\\\\{(2;1);\ (4;2);\ (6;\ 3);\ (8;\ 4)\}\\\\\boxed{The\ domain\ D=\{2;\ 4;\ 6;\ 8\}}

3.\ (x;\ y)\to y\in Range\\\\\{(2;\ 1);\ (4;\ 2);\ (6;\ 3);\ (8;\ 4)\}\\\\\boxed{the\ range:\{1;\ 2;\ 3;\ 4\}}

4.\\\frac{p}{d}=constans\\\\\frac{28}{d}=\frac{7}{3}\ \ \ \ |cross\ multiply\\\\7\cdot d=3\cdot28\ \ \ \ |divide\ both\ sides\ by\ 7\\\\d=\frac{84}{7}\\\\\boxed{d=12}

5.\ T(z)=7-z\\\\T(-4)\to z=-4\\\\put\ the\ value\ of\ z\ to\ (7-z):\\\\T(-4)=7-(-4)=7+4=\boxed{11}

6.\\y=|x|\to\ the\ axis\ of\ symmetry\ is\ OY\ (S_{OY})\\\\y=-|x|\to\ the\ axis\ of\ symmetry\ is\ OX\ (S_{OX})\\\\so....\ the\ y-intercept\ is\ (0;\ 2),\ therefore\ answer\ is\ \boxed{f(x)=-|x|+2}

7.\\\begin{array}{ccc}C&-&t\\800&-&4\end{array}\ \ \ \ |cross\ multiply\\\\4C=800t\ \ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{C=200t}
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How do you solve it?
Elis [28]

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




7 0
3 years ago
Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
Find the greatest common factor of 24xz^2 and 8yz?
julia-pushkina [17]

Answer:

Step-by-step explanation:

8z (3x^2 +y)

5 0
3 years ago
7 ^ 8 times 7 ^ 3 times 7 ^ 4 / 7 ^ 9 times 7 ^ 5​
Alex777 [14]

Answer:

7^8 =5764801 * 7^3 =343 * 7^4 =2401 ÷ 7^9 = 40353607 * 7^5 =16807

5764801 *343 *2401 ÷ 40353607 *16807

=4747561509943 ÷ 678223072849 = 7

4 0
3 years ago
Find the missing measure.
eduard

Answer:

59

Step-by-step explanation:

(360-92-150)/2

= 118/2

= 59

Answered by GAUTHMATH

4 0
3 years ago
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