what is the equation of this line?

Answer:

f(g(x))=2x-5

Step-by-step explanation:

f(g(x))=2(x-3)+1

Answer:

Step-by-step explanation:

if 6lbs costs 5.94

5.94/6=0.99

10lbs

0.99*10=9.90 dollars

Answer:

First Equation is Right which is -56/8 = 7

Step-by-step explanation:

LHS = -56/8

=> -7

RHS = -7

So LHS = RHS

Answer:

the first one. -56/8 = -7

Answer:

[tex]x=-2, \:1+\sqrt{3}i,\: 1-\sqrt{3} i[/tex]

Step-by-step explanation:

[tex]x^3+8=0,\\x^3=-8,\\\mathrm{For\:}x\in \mathrm{R}, x=-2[/tex]

Real solutions ([tex]x \in \mathrm{R}[/tex]): [tex]x=-2[/tex]

However, recall that [tex](\frac{-1\pm\sqrt{3}i}{2})^3=1[/tex].

Therefore:

[tex]\frac{-1\pm\sqrt{3}i}{2}\cdot -2=-2[/tex].

Thus, for [tex]x^3=-8,\: x\notin \mathrm{R}[/tex]:

[tex]x=1\pm\sqrt{3}i[/tex].

Therefore, the real and nonreal solutions of [tex]x^3+8=0[/tex] are [tex]\fbox{$-2, \:1+\sqrt{3}i,\: 1-\sqrt{3}i$}[/tex].

Answer:

-2, 1 +/- i*sqrt(3)

(3 solutions)

Step-by-step explanation:

Because the left side is in the form a^3+b^3, we can factor it as (a+b)(a^2-ab+b^2) (good formula to remember)

So we have

(x+2)(x^2-2x+4)

We can see one value already

x+2 = 0

x = -2

now we solve for

x^2-2x+4 = 0

We can use the quadratic formula, and see that the determinant is negative (2^2-4*1*4 < 0)

Therefore we have two imaginary solutions

(-(-2) +/- sqrt(2^2-4*1*4))/)2*1) = (2 +/- sqrt(-12))/2 = (2 +/- 2sqrt(-3))/2 = 1+/- sqrt(-3) = 1 +/- i*sqrt(3)

Answer:

No significant difference between mean and Expected value

Step-by-step explanation:

Hypothesis

H0 : u = 77.5

H1: u is not equal to 77.5

Alpha = 0.05

Mean = Σxi/n

= 77.09+75.37+72.42+76.84+77.84, +76.69+78.03+74.96+77.54+76.09+81.12+75.75/12

= 919.74/12

= 76.645

We get the variance s² = xi² -n(barx)²/n-1

= 77.09²+75.37²...75.75²-12(76.645)²/11

When we solve this out

We get 4.3486818182

T test = barx - u/(s/√n)

= (76.645-77.5)/√4.3486818182/12

= -1.420293

T critical = Tn-1, alpha/2

= 2.200985

The test statistic is less than 2.201 so we accept the null hypothesis at 0.05 level of significance. And then conclude that there is No significant difference between mean and Expected value.

Answer:

15 miles an hr or 15miles/1 hour

Answer:

alot

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Edg 2021

Answer:

yay free points numbers are all numbers

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15-(2+13-14)×10 (beacuse 14÷7=2)

15-(15-14)×10

15-1×10

15-10

5 ans

Answer: a=4

Step-by-step explanation:

Answer:

B or 4

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

1

1/5 X 5    times 9

Answer:

45 times is the correct answer

Answer:

○ [tex]\displaystyle y = 2x + 7[/tex]

Step-by-step explanation:

Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:

[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]

I am joyous to assist you at any time.

Answer:

-10x+25

Step-by-step explanation:

−5(2x−5)

=(−5)(2x+−5)

=(−5)(2x)+(−5)(−5)

=−10x+25

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer:10,8

Step-by-step explanation:

Because

Answer:

10,4

Step-by-step explanation:

Answer:

if I'm not mistaking it's 15%

Answer:

x = 566.67

Step-by-step explanation:

We have, 45% × x = 255

or,

45/100

× x = 255

Multiplying both sides by 100 and dividing both sides by 45,

we have x = 255 ×

100/45

x = 566.67

If you are using a calculator, simply enter 255×100÷45, which will give you the answer.

Answer:

Step-by-step explanation:

Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively.

Answer: 24 ft is the area

Step-by-step explanation: area of triangle = (width x height)/ 2; the width is 8, height is 6, 8 x 6 = 48. Divide by 2 = 24.

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

The value of the tangent of angle α will be 35/12. Then the correct option is B.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔABC is given below.

Then the value of tan α will be

tan α = 35 / 12

Then the correct option is B.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

Answer:

2 days

Step-by-step explanation:

You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.

Hope this help you

We want to find the width of a rectangle, we will find that the width is 10 inches.

So we know that the perimeter of a rectangle is just given by:

P = 2*(L + W)

Where L is the length and W is the width.

Here we know that:

P = 24 inches

L = 2 inches

Replacing that we get:

24 in = 2*(2 in + W)

(24in)/2 = (2 in + W)

12 in = 2 in + W

12 in  - 2 in = 10 in = W

So the width is 10 inches.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

Answer:

Step-by-step explanation:

It is a square so every angle is 90°. As diagonal bisects, the angles of square means that 90/2=45 So,

6x-21=45

6x=66

x=11°

Note: Diagonal only bisects the angle in the square, not in every figure.

Answer:

Um i have no idea sorry i couldnt help

Step-by-step explanation:

Answer:

9 1/3

Step-by-step explanation:

4 2/3 = 14/3

14/3/1/2

14/3 x 2/1

28/3= 9 1/3