What multiples to 42 but adds to -13

What does x = if x multiplied by 7/3 = 1

ddd [48]

Answer:

Step-by-step explanation:

X×7/3 =1

X=3/7

5 0

3 years ago

Type the equation that shows the pattern among this set of ordered pairs.

stich3 [128]

First find the slope between any two points:

$\sf Slope=\frac{y_2-y_1}{x_2-x_1}$

Where $\sf (x_1,y_1),(x_2,y_2)$ are the two points

So calculating the slope:

$\sf Slope=\frac{5-0}{2-1}=\frac{5}{1}=5$

So the slope is $\boxed{5}$

And our equation will be in the format of $\sf y=mx+b$
where $\sf m~ is~ the ~slope$ and $\sf b ~is~the~y-intercept$

So, now we have half of the equation:

$\sf y= 5x+b$

Now to calculate b, we can plug in a point $\sf (x,y)$ and solve for b.

So

$\sf y= 5x+b$

Lets use the point
$\sf (1,0) which ~is~in~the~form ~of ~(x,y)$

So:
$\sf 0=5(1)+b$

And then:
$\sf b=-5$

So our final equation is $\sf \boxed{y=5x-5}$

6 0

3 years ago

Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 – 45 when this expression is fully

vichka [17]

8x^4 + 2x^2 - 45 = (2x^2 + 5)(4x^2 - 9) = (2x^2 + 5)(2x + 3)(2x - 3)

(a) 2x^2 + 3....no
(b) 2x^2 + 5...yes
(c) 2x - 3....yes
(d) 4x^2 - 9)...no...not when it is fully factored

3 0

3 years ago

No one is helping me :( Can someone please help me, I promise to mark brainliest.

igor_vitrenko [27]

Answer: 186

Step-by-step explanation:

Jazz Rock or Pop

7-12: 200 - 142 = 58 142

13-18: 72 - 58 = 14 200 - 14 = 186

It is given that 142 out of 200 students in age group 7-12 like Rock or Pop.

Therefore, 200-142 = 58 in that age group like Jazz.

Total Jazz in both age groups is 72, so 72 - 58 (7-12: Jazz) = 14 students in age group 13-18 like Jazz.

There are 400 students total and 200 are in age group 7-12, which leaves 400-200 students in age group 13-18. 200 - 14 (13-18: Jazz) = 186 students in age group 13-18 like Rock or Pop.

8 0

3 years ago

Read 2 more answers

At a certain coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the n

wolverine [178]

Answer:

(1) The probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2) The shop owner has no reasonable chance to expect earning a profit more than $300.

(3) The probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

Step-by-step explanation:

Let X = number of cups of coffee sold and Y = number of donuts sold.

The random variable X follows a Normal distribution with parameters μ = 320 and σ = 20.

The random variable Y follows a Normal distribution with parameters μ = 150 and σ = 12.

The shop owner opens the shop 6 days a week.

(1)

Compute the probability that the shop owner sells over 2000 cups of coffee in a week as follows:

$P(X>2000)=P(\frac{X-\mu}{\sigma}>\frac{2000-(6\times320)}{6\times20})\\=P(Z>0.67)\\=1-P(Z$

Thus, the probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2)

The equation representing the profit earned on selling 1 cup of coffee and 1 doughnut in a day is:

P = 0.5X + 0.4Y

Compute the probability that the shop owner earns more than $300 as profit as follows:

$P(Profit>300)=P(\frac{Profit-\mu}{\sigma}>\frac{300-((0.5\times320)+(0.4\times150))}{\sqrt{0.5^{2}(20)^{2}+0.4^{2}(12)^{2}}})\\=P(Z>7.21)\\\approx0$

The probability of earning a profit more then $300 is approximately 0.

Thus, the shop owner has no reasonable chance to expect earning a profit more than $300.

(3)

The expression representing the statement "he'll sell a doughnut to more than half of his coffee customers" is:

Y > 0.5X

Y - 0.5X > 0

Compute the probability of the event (Y - 0.5X > 0) as follows:

$P(Y - 0.5X > 0)=P(\frac{(Y - 0.5X) -\mu}{\sigma}>\frac{0-(150-(0.5\times320}{\sqrt{12^{2}+0.5^{2}20^{2}}})\\=P(Z>0.64)\\=1-P(Z$

Thus, the probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

8 0

3 years ago