All categories

4 years ago

I need help with question 3

Mathematics

1 answer:

agasfer [191]4 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

To find the y-intercept let x = 0, in the equation

6x - 3y = 15 → (1)

x = 0 : - 3y = 15 ⇒ y = - 5 ⇒ (0, - 5) ← y- intercept

x + 3y = - 8 → (2)

x = 0 : 3y = - 8 ⇒ y = - $\frac{8}{3}$ ⇒ (0, - $\frac{8}{3}$ ) ← y- intercept

You might be interested in

Find the slope from the table.

Schach [20]

Answer:

slope = 4/1 or 4

Step-by-step explanation:

(2, 14)

(1, 10)

Formula = $\frac{y^2-y^1}{x^2-x^1}$

14-10 over 2 -1

4/ 1 = 4

5 0

3 years ago

Solving a word problem using a quadratic equation with rationa...

choli [55]

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8

8 0

3 years ago

A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than

Reptile [31]

The probability that a randomly selected customer takes more than 10 minutes will be 8.38%

Explanation

The average or mean $(\mu)$ is 8.56 minutes and standard deviation $(\sigma)$ is 1.04 minutes.

Formula for finding the z-score is: $z= \frac{X-\mu}{\sigma}$

So, the z-score for $X=$ 10 minutes will be.....

$z(X=10)=\frac{10-8.56}{1.04}=\frac{1.44}{1.04}=1.3846... \approx 1.38$

Now, according to the standard normal distribution table, $P(z$ . So.....

$P(X>10)=P(z>1.38)= 1-P(z$

So, the probability that a randomly selected customer takes more than 10 minutes will be 8.38%

3 0

3 years ago

Which congruence theorems or postulate could be given as reason why CDE ~= OPQ

Alla [95]

Answer:

are congruent by ASA property

Step-by-step explanation:

AND TELL ME YOUR CLASS

5 0

3 years ago

Read 2 more answers

You run 3 1/4 miles as a part of an exercise routine. You run 2/5 of that distance on a hill. You run down a slope for the last

OLga [1]

Answer:

Step-by-step explanation:

Wow thats cool

6 0

3 years ago