All categories

3 years ago

Which ordered pair makes both inequalities true Y<-x+1 Y>x

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

7 0

Answer:

x = -1 ; y = 1

Step-by-step explanation:

x = -1

y = 1

Plug in the corresponding numbers to the corresponding variables:

y < -x + 1

(1) < -(-1) + 1

1 < 1 + 1

1 < 2 (True)

y > x

1 > -1 (True).

You might be interested in

Penn cuts the sandwich into equal pieces to serve 8 guests. Write an equation to represent the portion p that each guest receive

SVETLANKA909090 [29]

To show the portion, p, that each guest receives you will write the following equation.

p = 1/8

This equation shows One whole sandwich being broken into eight groups of the same portion. The answer is 1/8 of a sandwich.

6 0

3 years ago

Find the value of x in the figure

Sedaia [141]

If there is a picture i could tell you

4 0

3 years ago

Read 2 more answers

What is this equal<br> how can I solve similar trigonometric integrals like this one

Angelina_Jolie [31]

Answer:

ln|sec θ + tan θ| + C

Step-by-step explanation:

The integrals of basic trig functions are:

∫ sin θ dθ = -cos θ + C

∫ cos θ dθ = sin θ + C

∫ csc θ dθ = -ln|csc θ + cot θ| + C

∫ sec θ dθ = ln|sec θ + tan θ| + C

∫ tan θ dθ = -ln|cos θ| + C

∫ cot θ dθ = ln|sin θ| + C

The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.

∫ sec θ dθ

∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ

∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ

ln|sec θ + tan θ| + C

3 0

3 years ago

A gas station sells two grades of gasoline: regular and super. These are priced at $2.00 and $3.00 per gallon, respectively. Let

djyliett [7]

Answer:

(a) E(Y) = 4400

sd (Y) =225

(b) P(Y ≤ 4500) = 0.67003

Step-by-step explanation:

(a) Here we have

Y = 2·X₁ + 3·X₂

Therefore E(Y) = 2·E(X₁) + 3·E(X₂) = 2000 + 2400 = 4400

sd(Y) is given by

Variance Y = (sd (Y))² = 2²·(sd (X₁))² + 3²·(sd (X₂))²

= 4·8100 + 9·2025 = 50625

sd (Y) = √50625 = 225

(b) The probability that the revenue does not exceed 4500 is given by

P(Y ≤ 4500) = P(z ≤0.444)

z = $\frac{\overline{\rm x} - \mu} {\sigma /\sqrt{n} }$

z = $\frac{4500 - 4400} {225 /\sqrt{1} }$ = 0.444

Therefore from the normal distribution table, we have

P = 0.67003

Since the gas station sells 2 portions of X₁ to 3 portions of X₂

Therefore, the probability that the gas station sells more of X₁ is given by

₅C₀ × 2/5⁰×3/5⁵ = 0.07776

₅C₁ × 2/5¹×3/5⁴= 0.2592

₅C₂ × 2/5²×3/5³ = 0.3456

P (X₁ > X₂) = 1 - 0.68256 = 0.31744

6 0

3 years ago

Read 2 more answers

Please help! For the 3 questions please

faltersainse [42]

Answer:

Step-by-step explanation:

Triangles ADC and ACB are similar.

Therefore AC / AB = AD / AC

6 / AB = 4 / 6

4AB = 36

AB = 9 (answer).

6 0

3 years ago