Answer:
Reciprocal, Exponential and Logarithmic.
Step-by-step explanation:
x intercept is the value of x where y value is 0.
y intercept is the value of y where x value is 0.
Let us have a look at the possibility for each parent function as given.
I. Linear
[tex]y =x[/tex]
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
II. Absolute value
[tex]y =|x|[/tex]
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
III. Quadratic
[tex]y =x^{2}[/tex]
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
IV. Cubic
[tex]y =x^3[/tex]
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
V. Square root
[tex]y =\sqrt x[/tex]
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
VI. Cube root
[tex]y =\sqrt[3]x[/tex]
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
VII. Reciprocal
[tex]y =\dfrac{1}x[/tex]
When [tex]x = 0, y \rightarrow \infty[/tex]
Therefore, both x and y intercept do not exist.
VIII. Exponential
[tex]y =b^x[/tex]
where b is any base:
When [tex]x = 0, y =1[/tex] therefore y intercept exists.
When we put y = 0, which is not possible
Therefore, both x and y intercept do not exist.
IX. Logarithmic
[tex]y =logx[/tex]
When [tex]x = 0, y \rightarrow[/tex] not defined
Therefore, both x and y intercept do not exist.
can someone help with number 4? like how am i supposed to solve this lol what do i do bc i alr know
k = -3
Answer:
0
Step-by-step explanation:
The chart shows k(x) and the value of x.
So when x is -3, k(-3) is 0.
Answer:
the answer would be -6 because that is the output of k(-3)
What’s the value of X In this????
Answer:
x = 68 degrees
Step-by-step explanation:
Step 1: We know this is a isosceles triangle
Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59
Step 2: Use the 2 angles to find 'x'
Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68
Therefore angle x is 68 degrees
Answer:
X = 68Step-by-step explanation:
This is because u have to do the math - LOL
1. What do you haveSo
- an isosceles has 2 same sides. The pic shows an isosceles triangle
- 2 sides are the same which is 4
- 1 side is different and is 1.5
2. Steps to solveSame length = Same angles
So
- 4 = 4
- 56 = 56
3. Finding the angle.Total angle - angle 1 - angle 2 = angle 3 or ?
- Total angle = 180
- Angle 1 = 56
- Angle 2 = 56
- Angle 3 = ?
180 - 56 - 56 = 68
Hope this helped,
Kavitha
Solve 13u2+23u=−112 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Note: this is assuming you haven't reached complex numbers yet
=============================================================
Explanation:
The given equation 13u^2+23u = -112 is the same as 13x^2+23x = -112
and we can add 112 to both sides getting 13x^2+23x+112 = 0
We see the equation is in the form ax^2+bx+c = 0
The discriminant is
D = b^2 - 4ac
D = 23^2 - 4(13)(112)
D = -5295
The negative discriminant means there are no real number solutions.
-----------
Extra info:
If D = 0, then there would be exactly one real number solution.
If D > 0, then there would be two distinct real number solutions.
Answer:
it is complex solution
no real number solution
Step-by-step explanation:
13u²+23u=-112
13u²+23u+112=0
a=13, b=23 , c=+112
u= (-b±√(b²-4ac))/2a
u=[(-23±√(23)²-4(13)(112)]/2(13)
u=(-23±√-5295)/26
u=(-23±i√5295)/26
nine more than twice a number is less than negative fifteen. solve the inequality for the unknown number.
Answer: x<-12
Step-by-step explanation:
let x= the number
2x+9<-15
2x<-24
x<-12
Hope this helps!! :)
You may ask any further questions
i)
[tex]3 \sqrt{3} \times \sqrt{3} [/tex]
Answer:
9Step-by-step explanation:
[tex]3\sqrt{3}\times\sqrt{3}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\\\sqrt{3}\sqrt{3}=3\\\\=3\times\:3\\\\=9[/tex]
write the reaction of sodium hydroxide with hydrochloric acid in words and symbols
Darren has 84 DIMES and 144 PENNIES in his piggy bank.
Eugene has 63 DIMES
and 112 PENNIES in his piggy bank.
Who has the higher ratio of DIMES TO PENNIES in their piggy bank?
Answer:
Step-by-step explanation:
Darren has 84 DIMES and 144 PENNIES:
the ratio of dimes to penny=84/144=7/12
12 is GCF : 84/12=7, 144/12=12
Eugene has 63 DIMES and 112 PENNIES :
the ratio is 63/112=9/16
GCF of (63 and 112) is 7 : 63/7=9 , 112/7=16
7/12 = 0.58333 9/16=0.5625
7/12 is higher than 9/16
Darren has the higher ratio of DIMES TO PENNIES in his piggy bank
this can be solved by finding the percentage 7/12=0.5833=58.3% and 9/16=0.5625 which is 56.25%
solve for the right triangle given only one side and angle
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Answer:
[tex]\huge \boxed{CD =\sqrt{11} } \\ \\ \huge \boxed{CE =\sqrt{11} }[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can apply trigonometric functions to solve for the missing sides.
sin θ = opp/hyp
sin 45 = CD /√22
Multiply both sides by √22.
√22 sin 45 = CD
√11 = CD
cos θ = adj/hyp
cos 45 = CE /√22
Multiply both sides by √22.
√22 cos 45 = CE
√11 = CE
A gable roof (isosceles triangle-shaped) has a vertical height of 2.1 metres and the ceiling is 10.9 meters from one side to the other. Find the pitch (angle) of the roof.
Answer:
[tex]\bold{21.07^\circ}[/tex]
Step-by-step explanation:
The given values can be mapped to an isosceles [tex]\triangle ABC[/tex].
Side AB = AC
Vertical height, AD = 2.1 m
The distance between one side to the other side of ceiling = 10.9 m
To find:
Pitch (Angle of the roof ) = ?
i.e. [tex]\angle B[/tex] or [tex]\angle C[/tex] = ? (because it is isosceles triangle, so both will be equal)
Solution:
As [tex]\triangle ABC[/tex] is isosceles, so vertical height will divide the side BC in two equal parts
i.e. [tex]BD = DC = \frac{1}{2} BC[/tex]
[tex]\therefore BD = \frac{10.9}{2} = 5.45 m[/tex]
In [tex]\triangle ABD[/tex], let us use tangent trigonometric property.
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tanB = \dfrac{AD}{BD}\\\Rightarrow tanB = \dfrac{2.1}{5.45}\\\Rightarrow tanB = 0.385\\\Rightarrow \angle B = tan^{-1}( 0.385)\\\Rightarrow \bold{\angle B = 21.07^\circ}[/tex]
Find the distance between -0.5 and 1.5
Answer:
2.0
Step-by-step explanation:
Subtract the smaller number from the larger to find their difference:
1.5 -(-0.5) = 2.0
The distance between the given values is 2.0.
Amy wants to find out if the temperature of water affects plant growth. She will water 6 plants with hot water, 6 plants with lukewarm water, 6 plants with water from the faucet, and 6 plants with ice water.
What is the independent variable?
Answer:
Temperature of the water
Step-by-step explanation:
In every study, there must be a dependent variable and an independent variable. The effect of the independent variable on the dependent variable is monitored by carefully manipulating the independent variable and observing the response it produces on the dependent variable.
In this study, the independent variable is the temperature of the water while the dependent variable is plant growth. The various temperatures of the water used to water the plant will after its growth.
An 8-cup carton of milk costs $2.00. What is the price per pint?
Answer:
$0.50 per pint
Step-by-step explanation:
First, we need to convert cups to pints.
There are 2 cups in 1 pint. We are given 8 cups, which is 4 times 2. So, we multiply 1 pint by 4:
1 * 4 = 4 pints
There are 4 pints in 8 cups.
We also know that 8 cups cost $2, which also means that 4 pints cost $2.
To find the cost per pint, we divide 2 by 4:
2 / 4 = $0.50
Thus, the price is $0.50 per pint.
~ an aesthetics lover
Answer:50 cents per pint
Step-by-step explanation:
8 cups=4 pints 2.00 ÷ 4 = .50
Select the domain and range of F.
F = {(x, y) 1 x+y= 10).
A.Set F is not a function and does not contain a domain or range
B.Domain: (10) Range: (10)
C.Domain: All Real Numbers Range: All Real Numbers
Answer:
b
Step-by-step explanation:
Identify the eccentricity of the conic section whose equation is given. r = 3/5 - 3cosθ
3/5
1
5/3
3
Answer:
3/5
Step-by-step explanation:
A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:
[tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]
Given the conic equation [tex]r=\frac{3}{5-3cos(\theta)}[/tex]
We have to make the conic equation to be in the form [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex].
[tex]r=\frac{3}{5-3cos(\theta)}\\\\Multiply\ the\ numerator\ and \ denominator\ by \ 1/5\\r=\frac{3*\frac{1}{5} }{(5-3cos(\theta))*\frac{1}{5}}\\\\r=\frac{3*\frac{1}{5} }{5*\frac{1}{5}-3cos(\theta)*\frac{1}{5}}\\\\r=\frac{\frac{3}{5} }{1-\frac{3}{5}cos(\theta)}[/tex]
Comparing with [tex]r=\frac{ep}{1 \pm e*cos(\theta)}[/tex]. gives:
e = 3/5, p = 1
The eccentricity is 3/5
determine whether each equation is the equation of a line parallel line, perpendicular to the given line explain your reasoning y=-2/3x +2
2a-5b+2c-9 from 3a-4b-c+6
Please solve it thank you
Answer:
a +b -3c +15
Step-by-step explanation:
Write the subtraction you want to perform, use the distributive property, collect terms:
(3a-4b-c+6) -(2a-5b+2c-9)
= 3a -4b -c +6 -2a +5b -2c +9 . . . . . . distribute the minus sign
= a(3-2) +b(-4+5) +c(-1-2) +(6+9) . . . . find and group like terms
= a +b -3c +15
Answer:
a - b -3c + 15
Step-by-step explanation:
Multiply the number by 4. Add 10 to the product. Divide this sum by 2. Subtract 5 from the quotient.
The first number is 1 and the result is 2
The second number is 5 and the result is 10
the third number is 9 and the result is 18
the fourth number is 10 and the result is 20
Write a conjecture that relates the result of the process to the original number selected. part a)
Represent the original number as n.
Answer is 2n
part b Represent the original number as n, and use deductive reasoning to prove the conjecture in part (a). Multiply the number by 4.
Help with part b please.
Answer:
See Explanation
Step-by-step explanation:
Given the illustration in the question
Required:
Use deductive reasoning to prove (a)
From your question, you need only the (b) part and this is done as follows;
Step 1: Represent the number with: n
Step 2: Multiply n by 4: 4n
Step 3: Add 10 to (2) above: 4n + 10
Step 4: Divide (3) above by 2: (4n + 10)/2 = 4n/2 + 10/2 = 2n + 5
Step 5: Subtract 5 from (4): 2n + 5 - 5 = n
Hence, the end result is proved to be 2n
Test this with any of the given illustration in (a) part, your answer will always be 2n
Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Step-by-step explanation:
Hello!
Part A
Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.
Part B
Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost
64 - 6.40 = 57.6
57.6 - 6.40 = 51.2
51.2 - 6.40 = 44.8
44.8 - 6.40 - 38.4
The price of the coat is $38.4
Hope this helps!
8. 10 ÷ 5 + 10 – 9 x 11 has to show work
Answer:
-87Step-by-step explanation:
(10 ÷ 5) + 10 – (9 x 11)
=(2) + 10 - (99)
=2 +10 - 99
= -87
[tex]hope \: this \: helps[/tex]
There's "8. '' In the first, is this also included? Or it's the number of the expression?
Zero pint eight x minus eight equals two x plus four
Quotient of 8 decreased by 2 times t and 3
Answer:
[tex] Quotient = \frac{8 - 2t}{3} [/tex]
Step-by-step explanation:
Quotient, in maths, is what you get when two number or expressions together. That is, dividend over the divisor.
Thus, from what we're given:
dividend is 8 decreased by 2 times t, which can be expressed as [tex] 8 - 2*t = 8 - 2t [/tex].
The divisor is 3.
[tex] Quotient = \frac{8 - 2t}{3} [/tex]
How many solutions does the following equation have?
3(y+9)=12y+133(y+9)=12y+133, left parenthesis, y, plus, 9, right parenthesis, equals, 12, y, plus, 13
Choose 1 answer:
Choose 1 answer:
Answer:
One solution.
Step-by-step explanation:
Given that the equation is:
[tex]3(y+9)=12y+13[/tex]
To find:
The number of solutions of the given equation = ?
Solution:
First of all, let us learn a concept for number of solutions of a polynomial.
Number of solutions of a polynomial is equal to its degree.
Degree means the highest power of the variable.
Here, the variable is [tex]y[/tex] and it is observable that the highest power of
Therefore, only one solution will be there for the given equation.
Solving the equation:
[tex]3(y+9)=12y+13\\\Rightarrow 3y+27=12y+13\\\Rightarrow 12y-3y=27-13\\\Rightarrow 9y =14\\\Rightarrow \bold{y = \dfrac{14}{9}}[/tex]
The one solution is [tex]\bold{y=\frac{14}{9}}[/tex].
Hence, only one solution.
Hey There Answer One Solutions
Step-by-step explanation:
what is the value of largest integers x such that 112/2^x is an integer.
Answer:
x = 4
Step-by-step explanation:
16 × 7 = 112
2^4 = 16
so that is the answer
If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f '(2) = 1, g '(2) = -2, then find h '(2) if h(x) = f(x) g(x).
Answer:
[tex]h'(2)=-7[/tex]
Step-by-step explanation:
So we have:
[tex]h(x)=f(x)g(x)[/tex]
Differentiate. Use the product rule:
[tex]h'(x)=f'(x)g(x)+f(x)g'(x)[/tex]
Substitute 2 for x:
[tex]h'(2)=f'(2)g(2)+f(2)g'(2)[/tex]
We know that f'(2) is 1, f(2) is 5, g(2) is 3, and g'(2) is -2. Make the appropriate substitutions:
[tex]h'(2)=(1)(3)+(5)(-2)[/tex]
Simplify:
[tex]h'(2)=3-10[/tex]
Subtract:
[tex]h'(2)=-7[/tex]
7m + 3mn when m = 8 and n = 14
Answer:
392
Step-by-step explanation:
m = 8 and n = 14
Substituting the values of m and n in the question, we get :
7m + 3mn
=( 7 x 8) +(3 x 8 x 14)
= 56 + 336
= 392
Answer:
356
Step-by-step explanation:
7x8+56
3x8=24
24x14=336
Add everything up
4/7a-2/3a pllllllllllllllllllllllllllllllllllls help
Answer:
[tex]-\frac{2}{21}[/tex]
Step-by-step explanation:
Step 1: Have a common denominator
[tex]\frac{12}{21}a -\frac{14}{21}a\\[/tex]
Step 2: Subtract to get answer
[tex]\frac{12}{21}a -\frac{14}{21}a = \frac{-2}{21}a[/tex]
Therefore the answer is [tex]\frac{-2}{21}a[/tex]
Answer:
-2/21a
Step-by-step explanation:
The common number for this two denominator, 7 and 3, is 21.
21/7=3, so you multiply 3 with the numerator 4. giving 12/21a.
You do the same you -2/3a, and you end up getting the equation of:
12/21a-14/21a=-2/21a.
Hope this helps, have a nice day!
use the graph to write an equation of the line
Answer:
y=1/5x
Step-by-step explanation:
y=mx+c
find m
m = rise/run
m = 2/10
= 1/5
find c , sub in a co-ordinate (10,2)
2 = 10/5 + c
2 = 2 + c
c = 0
Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5, (iii) calculate the value of P when Q = 42. Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18. Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24. I NEED THE ANSWERS QUICKLY!!!
Answer:
Q1)i) Q= 7p
ii) Q= 35
iii) P= 6
Q2)x= 3
Q3) B=4
Which of the following circumstances would likely make factoring the best method for solving a quadratic equation?
A.The leading coefficient is zero
B.The difference of 2 perfect squares
C.A quadratic that is prime
D.The leading coefficient is not 1 and the constant is a large number
Answer:
The correct option is;
B. The difference of 2 perfect squares
Step-by-step explanation:
Solving a quadratic equation using factoring involves finding the factors of the equation that would yield the result of the quadratic equation
In order to find the roots of the quadratic equation, then the result of the factoring must be equal to zero, in which case, the constant terms in the factors are the solutions of the quadratic equation in opposite sign.
For example, we have;
x² - 5² = 11
We subtract 11 from both sides to get;
x² - 5² - 11 = 11 - 11
x² - 36 = 0
x² - 6² = 0
(x - 6) × (x + 6) = 0
Therefore, x = 6 or -6 which are the opposite sign of the constant terms in the factor.
27 POINTS
What is the value of x in the figure below? In this diagram, AABD - ACAD.
Greetings from Brasil...
Here, just apply the Metric Relationships to the Rectangle Triangle
AB² = BC · BD
10² = 16 · X
16X = 100
X = 100/16
simplify
100 ÷ 4 = 25
16 ÷ 4 = 4
X = 25/4
X = 6.25In triangles ABD and CAD, The value of x in the figure is,
⇒ x = 25 / 4
What is mean by Triangle?Triangle is a three sided polygon, that has three vertices and three angles which has the sum 180 degrees, is called a triangle.
We have to given that;
Two triangles ABD and CAD are similar.
⇒ Δ ABD ≈ Δ CAD
Hence, We can Just apply the Metric Relationships to the Rectangle Triangle as;
⇒ AB² = BC · BD
Substitute all the values , we get;
⇒ 10² = 16 × x
⇒ 16x = 100
Divide by 16 both side, we get;
⇒ x = 100/16
⇒ x = 25/4
Therefore, In triangles ABD and CAD,
We get;
The value of x in the figure is,
⇒ x = 25 / 4
Learn more about the triangle visit;
brainly.com/question/1058720
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