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ale4655 [162]
3 years ago
10

An equation is shown below:

Mathematics
2 answers:
Aleks [24]3 years ago
7 0

Answer:

Option C is correct

The equation can become 4x -12 -5x -5= 3  by applying the distributive property.

Step-by-step explanation:

Distributive property states that:

a \cdot (b+c) = a\cdot b + a\cdot c

As per the given statement:

An equation is given as:

4(x -3) -5(x+1) = 3

Apply the distributive property we have;

4x -12 -5x -5= 3

Therefore, the equation can become 4x -12 -5x -5= 3  by applying the distributive property.

n200080 [17]3 years ago
6 0
The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

So the correct answer is the third option.
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Carroll borrowed $500 at 14% interest for 6 months. How much interest did she pay?
pshichka [43]
I think the answer is c
8 0
3 years ago
the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?
FinnZ [79.3K]
ANSWER

The other zero is

x =  - 10

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.


We were given that the axis of symmetry of the quadratic equation is
x =  - 3


We were also given that, one of the zeroes of the quadratic equation is
x = 4


Let the other zero of the quadratic equation be
x = p

,then, we apply the midpoint formula to find the value of
p

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,




\frac{x_1 + x_2}{2}  = axis \: of \: symmetry

We substitute to obtain,

\frac{p + 4}{2}  =  - 3



We multiply through by 2 to get,

p + 4 =  - 6



This implies that,

p =  - 6 - 4

p =  - 10




3 0
2 years ago
Read 2 more answers
What is the missing box
Zinaida [17]
The missing number is 0.

If you study the x values and the y values, you'll see that each time x increases by 2, y increases by 5.
3 0
3 years ago
Read 2 more answers
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.
Tanya [424]

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size n_1 = 71

Sample size n_2 = 31

Sample mean \overline x_1 = 41628

Sample mean x_2 = 36,379

Population standard deviation \sigma_1 = 4934

Population standard deviation \sigma_2 = 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at z_{0.02/2} = 2.33

The Margin of Error = z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }

= 2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }

= 2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }

= 2.33 \times \sqrt{906504.06 }

= 2218.40

The Lower limit = ( \overline x_1 - \overline x_2) - (Margin \ of \ error)

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = ( \overline x_1 - \overline x_2) + (Margin \ of \ error)

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

5 0
3 years ago
Rearrange y=1/2x+1 to make x the subject of the formula
Zinaida [17]
X/2+1=y  subtract 1 from both sides

x/2=y-1  multiply both sides by 2

x=2y-2
4 0
2 years ago
Read 2 more answers
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