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1 year ago

6

Checking number 2( Solving inequalities)

1 answer:

lilavasa [31]1 year ago

7 0

1. x < 20

x - 7 < 13

x < 20

2. x > -7

-3(x + 4) < 9

-3x - 12 < 9

-3x < 21

x > -7

Hope this helps!

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Given the function f(x) = 2x, find the value of f−1(32).

Oliga [24]

Answer:

it is -30

Step-by-step explanation:

you would divide both sides by x,then f=2

using PEMDAS we come to -30

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2 years ago

Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

a)

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

b)

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

c)

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

d)

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

6 0

2 years ago

passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?

goblinko [34]

Answer:

Equation of line , 5x + 3y = 0

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by $\frac{y_2-y_1}{x_2-x_1}$

Here points are given by (-3,0) and (-6,5)

Slope $=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}$

The slope of parallel lines are same. So slope of required line $=\frac{-5}{3}$

Equation of a line with slope m passing through origin is given by

y =mx

So equation of line, $y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0$

Equation of line , 5x + 3y = 0

4 0

2 years ago

Read 2 more answers

Please help ill give BRAINLIST

hram777 [196]

Answer:

A and B is the correct answer

Step-by-step explanation:

3 0

2 years ago

ddd [48]

Answer:

B. When the peak temperature is 40°C, 72 units of electricity are used on average.

Step-by-step explanation:

We see the relationship is closer to linear in the interval 30 to 40

<u>Approximate points:</u>

(30, 34) and (34, 54)

<u>The slope of the line:</u>

m = (54 - 34)/(34- 30) = 20/4 = 5

<u>The line is:</u>

y - 34 = 5(x - 30)
y = 5x - 116

<u>At x = 40, the value of y would be:</u>

y = 5*40 - 116 = 84

The closet option is B

7 0

2 years ago