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zhannawk [14.2K]
3 years ago
12

Write an equation in standard form of the line that contains the point (-5,6) amd is perpendicular to 4x-y=3

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0
4x-y=3
-y=-4x+3
y=4x-3

Since it is perpendicular, the slope must be a negative reciprocal.

therefore the slope is -x/4

Substituting the x and the y values (to find the b)

6=5/4+b
6-5/4=b
19/4=b

therefore the equation of the line is
y=-x/4+19/4
noname [10]3 years ago
6 0
4x - y = 3
y = 4x - 3
Slope = 4
Perpendicular slope = -1/4

y = mx + c
y = -1/4x+ c
at point (-5, 6),
6 = -1/4(-5) + c
6 = 5/4 + c
c = 6  - 5/4
c = 19/4

y = -1/4x + 19/4
4y = -x + 19

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2. Jenna Ford purchased a compact stereo that regularly sells for $229.99 at a markdown rate of 53%. In California, where Jenna
sveta [45]

Answer:

$115.67

Step-by-step explanation:

given that the markdown rate is 53%, that means that the markdown is 53% of the original price, or,

markdown = 53% of $229.99 = 0.53 x 229.99 = $121.89

sale price before tax = Original Price - Markdown

= 229.99 - 121.89

= $108.10

sales tax = 7% of sale price before tax

= 0.07 x 108.10

= $7.57

Final price =  price before tax + tax

= 108.1 + 7.57

= $115.67

4 0
3 years ago
Please help 20 POINTS. Problem is below!!
Helga [31]

10 units up means to add 10 to the y-coordinate of the vertex (h, k).

p(x) = 0.005(x - 40)² + 60

p(x) shifted up 10 units = 0.005(x - 40)² + (60 + 10)

                                q(x) =  0.005(x - 40)² + 70  


6 0
4 years ago
Each item produced by a certain manufacturer is independently of acceptable quality with probability 0.95. Approximate the proba
Diano4ka-milaya [45]

Answer:

The probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

Step-by-step explanation:

Let <em>X</em> = number of items with unacceptable quality.

The probability of an item being unacceptable is, P (X) = <em>p</em> = 0.05.

The sample of items selected is of size, <em>n</em> = 150.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and <em>p</em> = 0.05.

According to the Central limit theorem, if a sample of large size (<em>n</em> > 30) is selected from an unknown population then the sampling distribution of sample mean can be approximated by the Normal distribution.

The mean of this sampling distribution is: \mu_{\hat p}= p=0.05

The standard deviation of this sampling distribution is: \sigma_{\hat p}=\sqrt{\frac{ p(1-p)}{n}}=\sqrt{\frac{0.05(1-.0.05)}{150} }=0.0178

If 10 of the 150 items produced are unacceptable then the probability of this event is:

\hat p=\frac{10}{150}=0.067

Compute the value of P(\hat p\leq 0.067) as follows:

P(\hat p\leq 0.067)=P(\frac{\hat p-\mu_{p}}{\sigma_{p}} \leq\frac{0.067-0.05}{0.0178})=P(Z\leq 0.96)=0.8315

*Use a <em>z</em>-table for the probability.

Thus, the probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

5 0
3 years ago
-<br> (<br> -<br> 7.4–1.1)–(2.1–8.1)
SashulF [63]

Answer:

0.3

Step-by-step explanation:

(7.4-1.1) - (2.1-8.1)

Lets start with (7.4-1.1)

Step 1:

(7.4-1.1) =6.3 (All you do is subtract 7.4-1.1 and it gives you 6.3)

Step 2: Lets do (2.1-8.1)

(2.1-8.1)= -6 (2.1 minus 8.1 gives you -6 because 2.1 is smaller than 8.1 so it will give you a negative)

Step 3: Subtract

6.3-6

So your answer would be 0.3

Hope that helped :)

5 0
4 years ago
3(x-4) - (x+5) = 2x-11
dimaraw [331]
The answer is 6
3x-12-x-5=2x-11
2x-17=2x-11
=6
3 0
3 years ago
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