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Alekssandra [29.7K]
3 years ago
9

While attempting to solve the equation , Hazel made an error. Her work is shown to the right. Explain the mistake, and provide t

he correct answer.

Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

Step-by-step explanation:

X=-11 because,

Step 1: Simplify both sides of the equation.

x

2

+

4

x

=

77

Step 2: Subtract 77 from both sides.

x

2

+

4

x

−

77

=

77

−

77

x

2

+

4

x

−

77

=

0

Step 3: Factor left side of equation.

(

x

−

7

)

(

x

+

11

)

=

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5:12 can be written as an equivalent ratio in the form 20:a what is the value of a
IgorC [24]

Answer:

20:a , a=48

Step-by-step explanation:

5*4=20, 12*4 = 48

Simple mathematics, you multiple 5 by 4 to get 20, do the same thing to 12.

5 0
3 years ago
F(x) = x ^ 2 - 8x + 7
bekas [8.4K]
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
5 0
3 years ago
What’s y if 2+1/6y=3x+4
Olenka [21]
So y = 18x + 12 , xeR so Y equals to (12)
8 0
4 years ago
The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.45 oun
notsponge [240]

Answer:

0.1587

Step-by-step explanation:

According to the situation, the solution and the data provided is as follows

mean = 12.45 ounces

Standard deviation = 0.30 ounces

maximum = 12.75 ounces

More than ounces of soda = 12.75

Based on the above information, the probability is

Z=\frac{X-\mu }{\sigma } \\\\Z=\frac{12.75-12.45 }{0.30 } \\\\\Z=\frac{0.30 }{0.30 } \\\\Z= 1 \\\\P(X> 12.75)=1-P(X< 12.75) \\\\\P(X> 12.75)=1-P(Z< 1) \\\\

As we know that

P(Z<1) = 0.8413

So,

P (X > 12.75) = 1 - 0.8413

= 0.1587

5 0
4 years ago
What is 6÷809. someone plz help​
ahrayia [7]

Answer:it is 0.007

Step-by-step explanation:0.00741656365

6 0
3 years ago
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