Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.

Answer:

Equation of this line is y = 1

Step-by-step explanation:

We have to write an equation of a line passing through (0,1) and slope 0.

Standard equation of a line in slope form is y = mx + c

Where m = slope and c = y intercept.

Since m = 0

so y = c is the equation.

This line passes through (0,1)

so equation will be Y = 1

Equation of this line is y = 1

Step-by-step explanation:

Hope this helps:)

Answer:

y = 1

Step-by-step explanation:

\( \: \: \)

(2,6)

keep smiling & Make someone smiling ❤️

The values of x and y which minimize N for the function N = 2x + y is x ≥ 2 and y ≥ 6

Given:

x + y ≥ 8 (1)

x + 2y ≥ 14 (2)

where

x ≥ 0, y ≥ 0

Subtract (1) from (2) to eliminate x

2y - y ≥ 14 - 8

y ≥ 6

2x + 2y ≥ 16 (3)

x + 2y ≥ 14 (2)

2x - x ≥ 16 - 14

x ≥ 2

Therefore,

N = 2x + y

= 2(2) + 6

= 4 + 6

N = 10

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Answer:

(8x+3)<23 is the same as -(-8x-3)<23

Step-by-step explanation:

-(-8x-3)<23  Original equation

(8x+3)<23   [Remove the parentheses]

It is the same equation as the chosen answer: (8x+3)<23

Answer:

Choice E.

Step-by-step explanation:

-(-8x – 3) < 23

-8x - 3 >  -23

-8x > -20

x < 20/8

x < 2.5.

E:-

(8x + 3) < 23

8x < 20

x < 2.5.

Answer:

x=1

Answer:

32

Step-by-step explanation:

You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.

a²+b²=c²

If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:

a²+b²=8²

a²+b²=64

Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.

a²+a²=64

simplify: 2a²=64

divide both sides by 2: a²= 32

square root both sides: a = \(\sqrt{32}\)

then you know the length of each side is \(\sqrt{32}\)

to find the area of a square, you must multiply both sides by each other, so do \(\sqrt{32}\)*\(\sqrt{32}\), which will give you 32 since you are essentially doing this:

\((\sqrt{32})^2\) in which the square and square root cancel out.

Answer:

-1

Step-by-step explanation:

Answer in attachment.

Hope it helps :)

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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The  lengths of the two diagonals of the parallelogram are D1 and D2, where:

D1 = ||A + B||

D2 = ||A - B||

Let's denote the vectors as vector A and vector B. The lengths of the two diagonals of the parallelogram can be calculated using vector operations.

The length of the first diagonal (D1) can be calculated using the formula:

D1 = ||A + B||

The length of the second diagonal (D2) can be calculated using the formula:

D2 = ||A - B||

Here, ||A|| represents the magnitude (length) of vector A, and ||B|| represents the magnitude of vector B.

Therefore, the lengths of the two diagonals of the parallelogram are D1 and D2, where:

D1 = ||A + B||

D2 = ||A - B||

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The correct option regarding the discounts is given as follows:

Store Z has the best sale price of $28.

The discount can be a percentage or an amount off, and the calculations are explained as follows:

Considering the discount plans and the original price of $35, the discounted prices in this problem are as follows:

Hence the correct statement is given as follows:

Store Z has the best sale price of $28.

The complete problem is:

Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale:

Which statement about the sale price of these shoes is true?

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Step-by-step explanation:

Let x be the cost of t-shirts

and

y be the cost of hats

Then,

7x + 5y = £32 ..... (i)

And

3x + 4y = £23 ..... (ii)

Now,

Solving (i) and (ii) by Elimination method, we get -

[ 7x + 5y = £32 ] × 4

[ 3x + 4y = £23 ] × 5

= 28x + 20y = £128

15x + 20y = £115

- - -

_________________

13x = £13

x = £13/13

Now, substituting the value of x on equation (i)

= 7(£1) + 5y = £32

= £7 + 5y = £32

= 5y = £32 - £7

= 5y = £25

y = £25/5

Hence,

The cost of t-shirt is £1

and

the cost of hats is £5.

Answer:

Topic : CIRCLE

1. Capture/ cut outs pictures that represents a Circle then paste it in a long band paper.

2. Make a reflection in CERA form

C-Content (min. 5sentence)

E- experience(min. 5 sen.)

R-reflection (min.5 sent.)

A- Application (min.5

Answer:

1696 m^2

Step-by-step explanation:

Using the area of the larger circle to minus the area of smaller one, so A = 2*pi*r^2. 24^2*pi - 6^2*pi = 540 pi = 1696 m^2

Answer: It's the first one

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer:

(2, 3)

Step-by-step explanation:

Step-by-step explanation:

A has a density of 1.05 g/cm³

B has a density of 1.27 g/cm³

C has a density of x g/cm³

about the density of the resulting liquid C :

even before dealing with the full volume of the cylinder we can use the mixture ratio 4:11 to calculate the density of C.

we then simply assume that the ratio parts are actual volume parts to add the masses (g) :

4×1.05 + 11×1.27 = (4+11)×x

4.2 + 13.97 = 15x

18.17 = 15x

x = 1.211333333... g/cm³ (density of C)

now that we know that, let's calculate the volume of the cylinder. when we then multiply this volume with the density of C, then we know the mass (g) of C in the cylinder.

the volume of a cylinder is

V = pi×r²×h

r being the radius.

h being the height.

so, we have here :

V = pi×5²×20 = pi×25×20 = pi×500 cm³ =

= 1,570.796327... cm³

so, how many grams (g) of C are in that volume ?

1,570.796327... × 1.211333333... = 1,902.757951... g

≈ 1 900 g

(3 significant figures 1, 9, 0)

Answer:

It is three.................

30 ÷ 3 = 3

Hope this helps :)

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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a farmer picked 725 pounds of apple,

also

Answer:

x= 18.29

Step-by-step explanation:

- distribute then simplify- .75x + 12 = 2.5x - 20

- subtract .75x from each side- 12 = 1.75x - 20

- add 20 on each side- 32 = 1.75x

- divide each side by 1.75x- x= 18.29

not 100% sire if thats correct

\(0.75\left(x+16\right)=3-0.5\left(x-8\right)\)

\(0.75\left(x+16\right)\cdot \:100=3\cdot \:100-0.5\left(x-8\right)\cdot \:100\)

\(75\left(x+16\right)=300-50\left(x-8\right)\)

\(75x+1200=-50x+700\)

\(5x+1200-1200=-50x+700-1200\)

\(75x=-50x-500\)

\(75x+50x=-50x-500+50x\)

\(125x=-500\)

\(\frac{125x}{125}=\frac{-500}{125}\)

\(x=-4\)

Answer:

8.33

Step-by-step explanation:

1hr=60 minutes

?hr = 500 minutes

To find how many hours, divide 500 by 60

500/60 = 8.33

500 minutes = 8.33 hours

Anthοny is accurate, and had he cοlοred a quarter οf Jacοb's final circle rather than a quarter οf his οwn, they wοuld have cοlοred 12 cοmplete circles.

A circle is a spherical shape that lacks bοrders and edges. In geοmetry, a circle is indeed a clοsed, curved shape having twο dimensiοns.

Tο start, let's cοunt the tοtal number οf circles Anthοny οr Jacοb cοlοred befοre tο lunch:

Anthοny cοlοred 6.25 circles, οr 6 and 1/4 circles.

Jacοb cοlοred 5.75 circles, οr 5 and 3/4 circles.

They cοmbined tο cοlοr a tοtal οf 12 circles (6.25 + 5.75).

Let's nοw imagine that Anthοny cοlοred a quarter οf Jacοb's final circle rather than a quarter οf his οwn. Jacοb cοlοred 5 and 3/4 + 1/4 = 6 circles, while Anthοny cοlοred 6 with 1/4 - 1/4 = 6 circles.

Tοgether, we wοuld have cοlοured 12 circles since 6 + 6 = 12. This is what they desired. Anthοny is therefοre right!

By calculating the tοtal number οf circles that each persοn cοlοured while accοunting fοr the fact that they all cοlοred the very same number οf circles, we can further cοnfirm οur cοnclusiοn:

Anthοny drew 6 circles.

Jacοb filled in 6 circles.

Tοgether, they cοlοred 6 + 6 = 12 circles.

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Answer: I personally think it's true but I am not for sure

Step-by-step explanation:

Answer:

D. No, because two of the y-values are the same

Step-by-step explanation:

The y values cannot be the same

Answer:C

Step-by-step explanation:

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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The solutions to the given system of linear congruences are x is similar to 386 (mod 462).

To solve the system of linear congruences using the Chinese Remainder Theorem, we shall determine the values of x that satisfy all three congruences.

First congruence is x ≡ -2 (mod 6).

Second congruence is x ≡ 4 (mod 11).

Third congruence is x ≡ -1 (mod 7).

Firstly, we compute the modulus product by multiplying all the moduli together:

M = 6 × 11 × 7 = 462

Secondly, calculate the individual moduli by dividing the modulus product by each modulus:

m₁ = M / 6 = 462 / 6 = 77

m₂ = M / 11 = 462 / 11 = 42

m₃ = M / 7 = 462 / 7 = 66

Next, compute the inverses of the individual moduli with respect to their respective moduli:

For m₁ = 77 (mod 6):

77 ≡ 5 (mod 6), since 77 divided by 6 leaves a remainder of 5.

The inverse of 77 (mod 6) is 5.

For m₂ = 42 (mod 11):

42 ≡ 9 (mod 11), since 42 divided by 11 leaves a remainder of 9.

The inverse of 42 (mod 11) is 9.

For m₃ = 66 (mod 7):

66 ≡ 2 (mod 7), since 66 divided by 7 leaves a remainder of 2.

The inverse of 66 (mod 7) is 2.

Then, we estimate the partial solutions:

We shall compute the partial solutions by multiplying the right-hand side of each congruence by the corresponding modulus and inverse, and then taking the sum of these products:

x₁ = (-2) × 77 × 5 = -770 ≡ 2 (mod 462)

x₂ = 4 × 42 × 9 = 1512 ≡ 54 (mod 462)

x₃ = (-1) × 66 × 2 = -132 ≡ 330 (mod 462)

Finally, we calculate the final solution by taking the sum of the partial solutions and reducing the modulus product:

x = (x₁ + x₂ + x₃) mod 462

= (2 + 54 + 330) mod 462

= 386 mod 462

Therefore, the solutions to the given system of linear congruences are x ≡ 386 (mod 462).

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The solutions to the given system of linear congruences are x is similar to 386 (mod 462).

To solve the system of linear congruences using the Chinese Remainder Theorem, we shall determine the values of x that satisfy all three congruences.

First congruence is x ≡ -2 (mod 6).

Second congruence is x ≡ 4 (mod 11).

Third congruence is x ≡ -1 (mod 7).

Firstly, we compute the modulus product by multiplying all the moduli together:

M = 6 × 11 × 7 = 462

Secondly, calculate the individual moduli by dividing the modulus product by each modulus:

m₁ = M / 6 = 462 / 6 = 77

m₂ = M / 11 = 462 / 11 = 42

m₃ = M / 7 = 462 / 7 = 66

Next, compute the inverses of the individual moduli with respect to their respective moduli:

For m₁ = 77 (mod 6):

77 ≡ 5 (mod 6), since 77 divided by 6 leaves a remainder of 5.

The inverse of 77 (mod 6) is 5.

For m₂ = 42 (mod 11):

42 ≡ 9 (mod 11), since 42 divided by 11 leaves a remainder of 9.

The inverse of 42 (mod 11) is 9.

For m₃ = 66 (mod 7):

66 ≡ 2 (mod 7), since 66 divided by 7 leaves a remainder of 2.

The inverse of 66 (mod 7) is 2.

Then, we estimate the partial solutions:

We shall compute the partial solutions by multiplying the right-hand side of each congruence by the corresponding modulus and inverse, and then taking the sum of these products:

x₁ = (-2) × 77 × 5 = -770 ≡ 2 (mod 462)

x₂ = 4 × 42 × 9 = 1512 ≡ 54 (mod 462)

x₃ = (-1) × 66 × 2 = -132 ≡ 330 (mod 462)

Finally, we calculate the final solution by taking the sum of the partial solutions and reducing the modulus product:

x = (x₁ + x₂ + x₃) mod 462

= (2 + 54 + 330) mod 462

= 386 mod 462

Therefore, the solutions to the given system of linear congruences are x ≡ 386 (mod 462).

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Step-by-step explanation:

Suppose the persons are a, b, c, d, e, f and g.

Let us also assume that a and b always sit together.

Let us then put the remaining 5 persons in a circular arrangement. It can be done in (5–1)! = 4! = 24 ways. Now, the pair (a,b) can be placed between any two persons already placed in circular order. There are 5 such gaps. Finally the pair (a,b) can be placed in two ways viz. (a,b) and (b,a).

So, total number of ways a group of 7 persons can be seated around a circular table where 2 specified persons always sit together is 24 X 2 X 5 = 240

( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1

Hello,

\(f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\\)

Since i don't know what is (g°O(1)  and you haven't correct your question ,

i has put the 2 possibles answsers.

The tree has 11 vertices with degree 1.

To find the number of vertices with degree 1 in a tree with degree sequence (6,6,6,6,4,...), we can use the Handshaking Lemma. This lemma states that the sum of all vertex degrees in a graph is twice the number of edges. In a tree, the number of edges is one less than the number of vertices, so we can write:

6+6+6+6+4+...+2+2+1+1 = 2n-1

where n is the number of vertices. Simplifying this equation gives:

n = (6+6+6+6+4+...+2+2+1+1+1)/2 + 1

The term inside the parentheses is the sum of all vertex degrees, which we know from the degree sequence. Plugging in the values and simplifying, we get:

n = 18

So the tree has 18 vertices. Since we know that the rest of the vertex degrees are either 2 or 1, we can subtract the six vertices with degree 6 and the one vertex with degree 4 to get:

18 - 6 - 1 = 11

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The number of bicycle  store needs to sell each month to break even is, 55

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A bicycle store costs ​$3850 per month to operate

The store pays an average of ​$75 per bike

The average selling price of each bicycle is ​$145

The number of sells to break even = ?

Suppose, the number of sales is x

So, it can be written as,

For break even condition

75x + 3850 = 145x

145x - 75x  = 3850

70x = 3850

    x = 3850/70

    x =  55

Hence, the number of sales is 55

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