Tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.​

Answers

Answer 1

Answer:

No

Step-by-step explanation:

The answer is no since f(-x) = f(x)

Example:

f(-1) = 1 - 1 = 0f(1) = 1 - 1 = 0

It is not one-to-one, it is two-to-one


Related Questions

Find the x- and y-intercepts of the graph of the function f(x)=−4|x+5|+4.

Answers

Answer:

See image below:)

Step-by-step explanation:

The x and y intercept is -4 or -6 and -16 respectively.

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function: f(x)=- 4|x+5|+4

To find the x- intercept take f(x)=0

So, 0= -4|x+5|+4

    -4|x+5|=-4

    |x+5|=1

 x= -6 or -4.

For y-intercept take x=0

 then y=-20+4

        y=-16

Hence, the intercepts are -6 or -4 and -16.

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Draw the next five shapes in this pattern.

Answers

Answer:

what next five shapes in the pattern

Answer:

I can make one up for you

Square , Circle ,  Square , Prism ,  Sphere , Cone , Semi-Circle , Square , Circle,

What are the next 5 shapes ?

Step-by-step explanation:

5.- Si en un gallinero contamos los picos, las crestas y las patas obtenemos 144, ¿Cuántas gallinas hay? Utiliza una
expresión algebraica.

Answers

Answer:

En total hay 36 gallinas en el gallinero.

Step-by-step explanation:

Dado que si en un gallinero contamos los picos, las crestas y las patas obtenemos 144, para determinar cuántas gallinas hay sabiendo que cada gallina tiene un pico, una cresta y dos patas, se debe realizar el siguiente cálculo:

X + X + 2X = 144

4X = 144

X = 144 / 4

X = 36

Por lo tanto, en total hay 36 gallinas en el gallinero.

Please help it's for my test.

The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches?

Answers

Answer:

18 inches

Step-by-step explanation:

just FYI this is using base and height this is not trigonometry or diagonals but whenever you want to find the area of a parallelogram you have the base times the height and so you have the formula A= B * H but here you want to find the base so we divide the area by the height since those are your givens

A/H=B

108/6=18

29 members in math club, treasury has $364 to spend, shirts are $11 caps are $14. How many caps and shirts can he buy to exhaust the funds available?

Answers

Answer:

14 shirts, 15 caps

Step-by-step explanation:

15 x 14 = 210$

14 × = 154$

210+154 = 364$

PLS SOLVE!! e2 = d^2+f^2 -2df(cosE)

Answers

9514 1404 393

Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  [tex]e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}[/tex]

Phineas puts $600 into a certificate of deposit that earns 3.09%. If the money is
compounded monthly, how much will it be worth in 4 years?

Answers

Answer: $678.83

Step-by-step explanation:

A = P(1 + r/n)nt

A = 600.00(1 + 0.0309/12)(12)(4)

A = 600.00(1 + 0.002575)(48)

A = $678.83

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam. Which hypothesis is used to test the claim?
A. H_0: μ < = 3 vs. H_1: μ > 3
B. H_0: μ = 3 vs. H_1: μ ≠ 3
C. H_0: μ ≠ 3 vs. H_1: μ = 3
D. H_0: μ > = 3 vs. H_1: μ < 3

Answers

Answer:

D. H_0: μ > = 3 vs. H_1: μ < 3

Step-by-step explanation:

A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam.

The claim is that the average student spends 3 hours studying, so the null hypothesis is that the mean is at least 3, that is:

[tex]H_0: \mu \geq 3[/tex]

At the alternative hypothesis, we test if the mean is less than 3, so:

[tex]H_1: \mu < 3[/tex]

This means that the correct answer is given by option D.

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 4 / 7

Step-by-step explanation:

tan A = opp side / adjacent side

tan A = 4 / 7

PLEASE HELP WITH ALGEBRA HOMEWORK.WILL MARK BRAINLIEST

Answers

[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]

[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]

[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]

Since bases i.e 6 are same exponents are equal

4x+10= 3x-3

4x-3x = -3-10

x= -13

Answer:

x = -13

Step-by-step explanation:

36 = 6^2

216 = 6^3

36^(2x + 5) = 6^(2)^(2x + 5)

When taking an exponent to an exponet: multiply the exponents

36^(2x + 5) = 6^(4x + 10)

216^(x - 1) = 6^(3)^(x - 1)

When taking an exponent to an exponet: multiply the exponents

216^(x - 1) = 6^(3x - 3)

-----------------------------

Therefor

6^(4x + 10) = 6^(3x - 3)

Since the bases are the same the exponents are equal

4x + 10 = 3x - 3

Subtract 3x from both sides

x + 10 = -3

subtract 10 from both sides

x = -13

Steven earns extra money babysitting. He charges $35.00 for 4 hours and $70.00 for 8
hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
The equation is y =

Answers

Answer:

Step-by-step explanation:

35/4 = 8.75

70/8 = 8.75

x= 1 (hour) y = 8.75$

Answer:

y= 35x/4

Step-by-step explanation:

We can solve this by plotting a graph of these values of (4,35) and (8,70). We find that this graph is a straight line. Meaning we can solve it in the form Y = mx, where m is the gradient. there is no y intercept as our range is greater than x =0. So the gradient will be 70-35/8-4, which is 35/4. Simply substitute it into the formula to obtain y= 35x/4!

Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!​

Answers

Answer: See the attached image below

=========================================================

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

PLEASE HELP GEOMETRY!!!!!
Based on geometric properties, which statements are correct?

A) The formula V = lwh can be used to model the shape of a cake.

B) The formula V = 1/2bhl can be used to model the shape of a tent

C) The formula V = 1/2r³ can be used to model the shape of an apple

D) The formula V = r²h can be used to model the shape of a tree trunk

E) The formula V = 4/3r²h can be used to model the shape of a funnel

Answers

Answer:

I reckon it's B ........

Answer: The answer is A, B, and D.

Step-by-step explanation: I just did it on USATestPrep

7 more than 3 multiplied by x algebraic expression ​

Answers

Answer:

3x + 7

Step-by-step explanation:

The average weight of a particular box of crackers is 37.0 ounces with a standard deviation of 0.5 ounce. The weights of the boxes are normally distributed.
What percent of the boxes weigh more than 36.0 ounces?
What percent of the boxes weigh less than 36.5 ounces?

Answers

A____________________

The mean of a distribution is 276, while the median is 318. Which of these
statements is likely to be true about the distribution?
A It is negatively skewed,
B. It is symmetric
C. It is the same throughout
D. It is positively skewed

Answers

Answer:

A.

Step-by-step explanation:

The mean is less than the median so it is skewed to the left or negatively skewed.

can anyone help with this trig question?? any help would be greatly appreciated! :)

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

i need help with this one plz! (marking BRAINLIST) :) ​

Answers

Answer:

cosθ = 7/25

Step-by-step explanation:

To find hypotenuse, you use Pythagorean's Theorem.

a^2+b^2=c^2

7^2+24^2=c^2

625=c^2

25=c

This means cosθ = 7/25

please help. no links!

Answers

Answer:

I think B

Step-by-step explanation:

121.346° is more close to 121.3°, than 121.4°

if i'm wrong, the i'm sorry

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
4

Answers

Answer:

x = 2√2

Step-by-step explanation:

Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.

Now, since we see that it is also a right angled triangle, it means one angle is 90°.

Let the equal angles be a.

Thus;

a + a + 90 = 180 (since sum of angles in a triangle is 180)

2a + 90 = 180

2a = 180 - 90

2a = 90

a = 90/2

a = 45°

Now, using sine rule, we can find x. Thus;

x/sin 45 = 4/sin 90

sin 90 = 1

sin 45 = 1/√2

Thus;

x = (4 × 1/√2)/1

x = 4/√2

Let's rationalize the denominator to get;

x = (4/√2) × √2/√2

x = (4√2)/2

x = 2√2

A student claims that they can use rules about the coordinates of point A to tell wether the cosine of the angle formed by the x-axis and the kind that connects the origin to point A will equal a positive or a negative value. Which of the following statements supports the student’s claim?
A) if the y-coordinate is positive, the cosine will equal a positive charge.

B) if the x-coordinate are negative, the cosine will equal a negative value.

C) if the x-coordinate is in Quadrant l, the cosine will equal a negative value.

D) if the x- and y-coordinates are negative, the cosine will equal a positive value.

Answers

9514 1404 393

Answer:

  B) if the x-coordinate is negative, the cosine will equal a negative value

Step-by-step explanation:

The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.

  if the x-coordinate is negative, the cosine will be negative

After Noam transformed the graph of the function f (x)= |x|, the graph's vertex became (0,48), Which sequences of transformations could he had used - Need for a test, I see it was answered but there is no answer or how to get the answer. Please respond QUICK.....

Answers

Answer:

f(x) = |x|+48 would make the vertex be (0,48)

Step-by-step explanation:

Since the y-coordinate changed, this means that only vertical shift could have occured. Therefore, 48 must've been added to |x|.

PLEASE ANSWER!! Find EF using Pythagorean theorem. Express answer to one decimal place.

Answers

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm

Geri runs a total of3.1 miles, how many feet is this

Answers

16368 ft!! Hope this helps you!

The base of a solid right pyramid is a square with an
edge length of n units. The height of the pyramid is n
1 units
Which expression represents the volume of the
pyramid?
VA
on(n-1) units
on(n-1)2 units
or’n - 1) units
on*(n − 1) units
(n-1)
n

Answers

Answer:

C

Step-by-step explanation:

Base area = n^2

V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)

The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³

What is the volume of a pyramid?

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the base edge length of the solid pyramid be = n units

So , the base area of the pyramid = n² units²

Let the height of the pyramid be = ( n - 1 ) units

And , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

V = ( 1/3 ) n² ( n - 1 ) units³

Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³

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O TRIGONOMETRIC FUNCTIONS
Arc length and central angle measure
Na
A circular arc has measure 18 in and is intercepted
a central angle of
radians. Find the radius r of the circle.
Do not round any intermediate computations, and round your answer to the nearest tenth.
?

Answers

Answer:

r = 22.9 in.

Step-by-step explanation:

Central angle in radians, ∅ = π/4

Length of arc, S = 18 in.

radius (r) = ?

Length of arc, C = r∅

Plug in the values and find r

18 = r*π/4

18 = (πr)/4

Multiply both sides by 4

4*18 = πr

72 = πr

Divide both sides by π

72/π = r

r = 22.9183118

r = 22.9 in. (Nearest tenth)

The sum of the numbers x, y, and z is 50. The ratio of x to y is 1 : 4, and the ratio of y to z is 4 : 5. What is the value of y?
A. 4
B. 8
C. 10
D. 20

Answers

Answer:

x:y:z

1:4

4:5

-------------

1:4:5

-------------

let a:b:c=k:4k:5k

k+4k+5k=50

10k=50

k=5

y=4(5)

=20(D)

Answer:

D. 20

Step-by-step explanation:

x:y:z

1:4:5

1+4+5=10

50÷10=5

1=5

4=?

4=4×5

=20

Find the
surface area of the
prism.

Answers

Answer:

D.  972 ft^2

Step-by-step explanation:

SA = 2B + PH

where SA = total surface area of the prism,

B = area of a base

P = perimeter of the base

H = height of the prism

SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)

SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)

SA = 972 ft^2

helpppp y’all sososososo

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

I think the answer is 4/8 ✨

Please write out the steps in explanation on how to solve these

1836-1347 and 4865-3956

Answers

1837
-1347
———-
490
Subtract the number starting from the right to the left. ANSWER: 490
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