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erica [24]
3 years ago
8

A number decreased by the sum of the number and four

Mathematics
1 answer:
ira [324]3 years ago
5 0
<span>A number decreased by the sum of the number and four 
is -4</span>
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What does X equal? 14x+24=18x-32
exis [7]

Answer:

x =14

Step-by-step explanation:

14x+24=18x-32

Subtract 14x from each side

14x-14x+24=18x-14x-32

24 = 4x -32

Add 32 from each side

24+32=4x-32+32

56 = 4x

Divide each side by 4

56/4 = 4x/4

14=x

3 0
3 years ago
Read 2 more answers
Determine all intervals on which f(x) &gt; 0.
8_murik_8 [283]

Answer: [-7, -4]u[0, 3]

4 0
2 years ago
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
hammer [34]

Answer: option d.

Step-by-step explanation:

If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

y=kxz

Where<em> k</em> is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}

<em> </em>Substitute the value of <em>k</em>  into the expression. Then, the equation is:

y=\frac{2}{3}xz

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

y=k=\frac{2}{3}(7)(4)

y(7,4)=\frac{56}{3}

<em> </em>

5 0
2 years ago
Read 2 more answers
–2x + 2y = -4<br> 3х + Зу = -18
rodikova [14]

Answer:

(-2, -4)

Step-by-step explanation:

–2x + 2y = -4

3х + Зу = -18

Divide the first equation by 2

–2x/2 + 2y/2 = -4/2

-x +y = -2

Divide the second equation by 3

3х/3 + Зу/3 = -18/3

x + y = -6

Add these equation together

-x +y = -2

x + y = -6

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

0x + 2y = -8

2y = -8

Divide each side by 2

2y/2 = -8/2

y = -4

Now we need x

x+y = -6

x-4 = -6

Add 4 to each side

x-4+4 = -6+4

x = -2

3 0
3 years ago
Use the functions to find x
suter [353]

Answer:

x = 14

Step-by-step explanation:

f(x) = 10 -  \frac{9}{2} x \\  \\ plug \: f(x) =  - 53 \\  \\  - 53 = 10 -  \frac{9}{2} x \\  \\ \frac{9}{2} x  = 10 + 53 \\  \\ \frac{9}{2} x  = 63 \\  \\ x = 63 \times  \frac{2}{9}  \\  \\ x = 7 \times 2 \\  \\ x = 14

5 0
3 years ago
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