find the slope of the line that passes through (3,1) (4,9)

[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]

Answer:

x

Step-by-step explanation:

Refer to '<' as ' less than or equal to '

Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )

with that in mind

* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3

so to equate both sides, let's multiply each by the denominator they are lacking.

* 2x - 3/5 lacks 3 compared to -x/3.

* similarly, -x/3 lacks 5 compared to 2x - 3/5

multiply both by what they lack (2)

thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2

* 6x - 9/ 15 - 5x/15 < 2

we can now combine the numerators since we now have a common denominator which is 15.

* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.

criss cross

* x - 9 < 30

* x < 39

Answer:

y = 3x + 5

Step-by-step explanation:

Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.

Answer:

 [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is  (x²+y²)/x⁴. The expression will be solved as,

E =  (x²+y²)/x⁴

Separate the terms into two fractions,

E =  (x²+y²)/x⁴

E = (x²/x⁴) + ( y² / x⁴)

Divide the divisible terms and solve,

E = (1/x² + y²/x⁴)

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If any doubt leave a comment

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

Answer:

The temperature decreased by 43 degrees

-43

Step-by-step explanation:

Difference means subtraction

37 - (-6) = -43

I hope this helps!

Answer:

64 in 2 is it the answers im not shure

cp of 40 l of milk=6.50*40=260

sp of 56 l of mixture=56*7=392

392-260=132

gain%=132/260*100=50.76%

The equation of the line shown is y = 4 x

A straight line is the shortest distance between two points. the equation of straight line is represented as [tex]y = mx + c[/tex]

m is the gradient

y2, y1, x2, x1 are gotten from the graph

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]m = \frac{8 - 4}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

m = 4

c is the intercept on x-axis

from the graph c = 0

substituting the values give:

y = 4 x

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Answer:

19%

interest earned = base × time × rate

interest rate = interest earned/ base × time

76/800*2 = 0.19 = 19%

Answer:

2 hours 30 minutes = goal

Saturday = 1 hour 10 minutes

Sunday = 1 hour 15minutes

Total = 2 hours 25 minutes

No he will not meet his goal. He will be short 5 minutes of practice.

Explanatiory:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

ill see im on the yest rn

Step-by-step explanation:

Answer:

UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60

Step-by-step explanation:

sin 30=UV/10=>0.5=UV/10=>UV=5

VW=√(10²-5²)=√75=5√3

m∠U=180-90-30=60

Answer:

14 apple pies

Step-by-step explanation:

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

Step-by-step explanation:

you can let

then connect this 2 points

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

Answer:

yes

Step-by-step explanation:

For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side

9 + 11 = 20 > 15

9 + 15 = 24 > 11

11 + 15 = 24 > 9

The 3 sides given will form a triangle

Note that

The length of any two sides must be greater than the third side

So

Yes it's a triangle

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

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Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

or

or

Answer:1.72Gal

Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72

Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form

Answer:

2 years

Step-by-step explanation:

1) principle:$5000

Rate : 10%

S.I = $1000

Therefore length of time =

S.I x 100 divided by Principle x rate

= 1000 x 100 divided by 5000 x 10

Answer= 2 years.

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the given system of equations has no Solution.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations:

X- 7y = -21......(1)

2x -14y =-42.....(2)

From equation 1

x = -21 + 7y

Substitute the value in equation 2

2(-21 + 7y) -14y-14y = -42

Since the given equation are same

Therefore, given equations have no Solution.

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Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

The definite value for p is 9.

But how are 8, 7, or 6 the value of p?

I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?

You use algebra to get the value for p:

20p-45 = 9p + 5p

Start solving from there.

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

Answer:

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