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77julia77 [94]
1 year ago
12

in Each diagram below right, the 2 numbers on the side of the x that are multiplied together to get the top number of the x but

added together to get the bottom number of the x

Mathematics
1 answer:
lakkis [162]1 year ago
7 0

We need to satisfy the following equations:

x*y = 13

x + y = -14

Isolating x from the first equation,

x = -14 - y

Substituting this result into the first equation,

(-14 - y)*y = 13

-14y- y*y = 13

-y² - 14y - 13 = 0

Using the quadratic formula,

\begin{gathered} y_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y_{1,2}=\frac{14\pm\sqrt[]{(-14)^2-4\cdot(-1)\cdot(-13)}}{2\cdot(-1)} \\ y_{1,2}=\frac{14\pm\sqrt[]{144}}{-2} \\ y_1=\frac{14+12}{-2}=-13 \\ y_2=\frac{14-12}{-2}=-1 \end{gathered}

Therefore, the solution is:

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A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0
3 years ago
The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x . The va
scZoUnD [109]
An exponential decay function is:

f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P  If we look at the second point, when t=1 we can see:

14280=17000r

r=357/425

r=0.84

So in five years the SUV will be worth more than the car by:

17000(0.84^5)-12000(0.89^5)

$408.73  (to the nearest cent)
5 0
3 years ago
Read 2 more answers
How do you solve -4x - 10 < 2
viva [34]
There is a way and you will find it but not from me
5 0
3 years ago
5. Angie is mixing together yellow paint and blue paint to make 2 shades of green paint. She fills −4 of can A with yellow paint
trapecia [35]

Answer:

she can pour more paint in in can<u> </u><u>B</u>

Step-by-step explanation:

4 0
3 years ago
In a card game it is possible to have negative score. If Laura starts with a score is 10 what will be her new score if she loses
Ilya [14]

Answer:

28

Step-by-step explanation:

10-38=28

$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr

4 0
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