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denpristay [2]
3 years ago
7

Simplify the expression: 10x–6x2+6x2+5

Mathematics
1 answer:
marta [7]3 years ago
6 0

10x + 9

because the -6x and positive 6x cancel out and all you have left is 2+2+5 and 10x

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Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.
Ulleksa [173]
X intercept: (-4,0)
y intercept: (0,1/2)

x-intercept is when y = 0
-x+8(0)=4
-x+0=4
x=-4

y-intercept is when x = 0
-(0)+8y=4
8y=4
y=4/8=1/2
6 0
3 years ago
HELP HELP HELP HELP <br><br> What is the equation of the trend line in the scatter plot ?
Ilia_Sergeevich [38]

Answer:

the answer is (0,2) (7,8)

7 0
3 years ago
Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be
Slav-nsk [51]

Answer:

  • E=5S+2P
  • P=0.5(E-5S)

\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

  • E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

P=\dfrac{E-5S}{2} \\P=0.5(E-5S)

Therefore, The quantity of pizza he buys can be represented by the equation:

  • P=0.5(E-5S)

When E=$40, we are required to complete the table below.

\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|

4 0
4 years ago
Using the diagram, find tan B. Express your answer as a decimal rounded to the nearest hundredth.
Maslowich

tan = opposite/hypotenyse

for B, this is 24/25

24/25 = 0.96

7 0
3 years ago
Assume that y varies inversely as x. If y = -8 when x = -9, find y when x = 4.
IrinaVladis [17]
Y α 1/x

y = k/x  Where k is the constant of proportionality.

xy = k    Cross Multiplying.

k = xy

Recall  y= -8 when x = -9

k = -9 * -8 = 72

Finding y when x = 4.

k = xy

72 = 4y    Divide both sides by 4.

y = 72/4 = 18.

y = 18.
6 0
3 years ago
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