Answers
The smallest y - intercept for the given equations is, (0, -6).
What is y - intercept?
A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
There are four function are given.
We have to find which function having smallest y - intercept.
Since, to find y - intercept we have to plug x = 0 in each equation.
Consider, the functions
1. g(x) = 2x - 6
Plug x = 0
g(0) = 0 - 6
g(0) = -4
⇒ The y - intercept is (0, -4).
2. f(x) = √x - 2
Plug x = 0
f(0) = 0 - 2
f(0) = -2
⇒ The y - intercept is (0, -2).
3. For 3 we get the equation, y = 2x + 1
Plug x = 0
y = 0 + 1
⇒ The y - intercept is (0, 1).
4. From graph the y - intercept is (0, -2).
Hence, the smallest y - intercept for the given equations is, (0, -6).
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Related Questions
You bought 3/4 pound of fudge for 6.75. Write and solve an equation to find the cost of the fudge per pound.
Answers
Given:
You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.
To find:
The equation and solve the equation to find the cost of the fudge per pound.
Solution:
Let x be the cost of the fudge per pound.
You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.
[tex]\dfrac{3}{4}x=6.75[/tex]
[tex]3x=6.75\times 4[/tex]
[tex]3x=27[/tex]
Divide both sides by 3.
[tex]x=\dfrac{27}{3}[/tex]
[tex]x=9[/tex]
Therefore, the required equation is [tex]\dfrac{3}{4}x=6.75[/tex] and the cost of the fudge is 9 per pound.
A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. Use the table to write an expression to represent the actual number of each accessory sold per box of action figures.
Answers
The equation that can be used to represent the turbo jet pack will be 6b + 7.
How to calculate the equationFrom the information given, the turbo jet pack is given as six times the number of boxes plus seven. This will be:
= (6 × b) + 7
= 6b + 7
The x-ray vision glass is given as five fewer than two times the number of boxes. This will be:
= (2 × b) - 5
= 2b - 5
The invisible shield is given as one more than ten times the number of boxes. This will be:
= (10 × b) + 1
= 10b + 1
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Which of the following formulas is NOT used for finding the volume of sphere, cylinder, or cone?
Answers
Answer:
i think C
Step-by-step explanation:
Mutiply to get the answer
Find the area of this rectangle.
6 m
9 m
A = [?] m2
Answers
Answer:
The area would be 54 m^2.
How to:
LxW
6 x 9 =
Yep here we go again:
The x-axis represents the number of hours before or afternoon, and the y-axis represents the temperature in degrees Celsius.
At 9 a.m., it was below freezing. In what quadrant would this point be plotted? Use Roman Numerals in your answer: Either I, II, III, or IV
At 11 a.m., it was 10 degrees Celsius. In what quadrant would this point be plotted?
Here is the image T ^ T ( I will also give brainliest!)
Answers
Answer:
9 am it will be IV quadrant
11 it will be I quadrant
hope it helps u
If at 9 a.m. the temperature was below freezing, which means below 0 degrees Celsius, then the point would be plotted in the third quadrant (III).
What is coordinate plane?The coordinate plane has four quadrants, which are numbered using Roman numerals I, II, III, and IV, and they are separated by the x-axis and y-axis.
In this case, the temperature was below freezing at 9 a.m., which means it was less than 0 degrees Celsius.
The point would be plotted in the third quadrant (III), where the x-value is negative and the y-value is negative, because the x-axis represents the time in hours before noon and the temperature is negative.
At 11 a.m., however, the temperature was 10 degrees Celsius, which is a positive value.
Thus, the point would be plotted in the first quadrant (I), where both the x-value and the y-value are positive, because the x-axis represents the time in hours before noon and the temperature is positive.
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Translate the following verbal expression into an algebraic expression.
“Three times the sum of a number and seven”
Answers
Answer:
3 * (x + 7)
Step-by-step explanation:
Mark number as x
Then the sum of a number and seven is x + 7
Three times x + 7 can be written as
3 * (x + 7)
Parentheses mean that we first add x and 7 and then multiply their sum by 3
Alternatively you can write it as 3x + 21, since
3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21
Mitchell went to the grocery store and bought 30 bagels. If there are 3 bagels in each pack, how many packs of bagels did Mitchell buy?
Answers
Answer: 10
Step-by-step explanation: 30/3=10
Answer:
10
Step-by-step explanation:
Take the total number of bagels and divide by the number of bagels per package to determine the number of packs
30/3 = 10
He will buy 10 packs
a-3.2=5.5 what does a equal??
Answers
Answer:
2.3
EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME
Step-by-step explanation:
Answer:
8.7
Step-by-step explanation:
just add 5.5 and 3.2
A right triangle has side lengths,8,15,17 and as shown below.
Use these lengths to find, tan b, cos b, sin b
Answers
Remember the chant "soh cah toa"
sine = opposite ÷ hypotheneus
cosine = adjacent ÷ hypotheneus
tangent = opposite ÷ adjacent
remember that hypotheneus is the slanty side, opposite and adjacent side is in COMPARISON with the angle you want to find.
In this case, tan B would be 15/8
sinB = 15/17
cosB = 8/17
Exercice 1:
Voici un programme de calcul :
Choisir un nombre
Multiplier ce nombre par 4
Ajouter 8
Multiplier le résultat par 2
1. Vérifier que si on choisit le nombre -0,5, ce programme donne 12 comme résultat final.
2. Le programme donne 34 comme résultat final, quel est le nombre choisi au départ ?
Dans la suite de l'exercice, on nomme x le nombre choisi au départ.
3. L'expression A = 2(4x + 8) donne le résultat du programme de calcul précédent pour un nombre x
donné.
On pose B = (4 + x)2 – x2
Prouver que les expressions A et B sont égales pour toutes les valeurs de x.
4. Pour chacune des affirmations suivantes, indiquer si elle est vraie ou fausse.
On rappelle que les réponses doivent être justifiées.
Affirmation 1: Ce programme donne un résultat positif pour toutes les valeurs de x.
Affirmation 2 : Si le nombre x choisi est un nombre entier, le résultat obtenu est un multiple de 8.
Answers
What is 8 fewer than the difference of d and 10
Answers
Answer:
subtract 8 from -10
answer: d-18
Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?
Answers
9514 1404 393
Answer:
2 to 3
Step-by-step explanation:
The ratio of side lengths is the square root of the ratio of areas:
32 to 72 = 4 to 9 . . . . simplified ratio of areas
Then the ratio of side lengths is ...
√4 to √9 = 2 to 3
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answers
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Answers
Answer:
Giant has the better deal
Step-by-step explanation:
4.00/ 12 is .3333333
6.00/20 is .30
so . 30 is less that .3333333333
therefore Giant has the better deal
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
Answers
Step-by-step explanation:
SI=P×T×R÷100
SI= 6400×9×10÷100
SI=576000÷100
SI=5760
What number is 16% of 576 in a fraction ?
Answers
Answer:
92 4/25Step-by-step explanation:
16% of 576
=16/100 x 576
=2304/25
=92 4/25
A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
Answers
Answer:
$127.03
Step-by-step explanation:
A snow cone machine price at $139 is on after for 20 off.
The price after discount=139-20=$199
The sale tax rate 6.75%
Price with sales tax=199+(6.75%×199)
=199+(0.0675×199)
= 199+8.03
=$127.03
Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answers
Answer:
Step-by-step explanation:
57x2/(12+7)=6
mid-segment definition
Answers
Answer:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.
Step-by-step explanation:
hope this helps :)
4^x. 2^y =128,find x and y .please needed urgently
Answers
NEED HELP ON HOMEWORK ASAP
Answers
Answer:c
Step-by-step explanation:
3*1= 3 3*2=6 and so on
Zane buys a rope that is 50 feet long. The cost of the rope is $0.35 per foot, including tax. What is the total cost, in dollars, of Zane’s rope?
Answers
Answer:
50x.35=17.50
Step-by-step explanation:
multiply length times amount per foot equals total cost
HELP ME PLEASE
Marcla shoots an arrow that hits a bull's-eye 80 feet away. Before hitting the bull's-eye, the arrow reaches a
maximum height of 16 feet at the midway point, 40 feet.
Part 1 out of 2
If the bull's-eye is considered to be at (80, 0), what function (In Intercept form) could represent the path of
the arrow If x is the horizontal distance from Marcia and h(x) represents the height of the arrow in relation
to the horizontal distance?
The function is h(x)=
Next
Answers
Answer:
See answer below
Step-by-step explanation:
In this case, we can assume that this function follows a linear function. In this case, the general expression would be:
y = a + bx
Where:
a: Y intercept
b: slope of the function
To get the slope we need to apply the following expression:
b = y₂ - y₁ / x₂ - x₁
We already have two points, (80,0) and (40,16) from here, we can determine the slope:
b = 16 - 0 / 40 - 80
b = -16/40
b = -2/5
Now that we know the slope, we can determine the y-intercept if it have:
a = y - bx
Using any point, we can calculate it:
a = 0 - (-2/5*80)
a = 0 + 160/5
a = 32
With these two values, we can write the function:
h(x) = 32 - 2/5xHope it helps
what is 1.5x=3 please
Answers
Answer:
x=2
Step-by-step explanation:
1.5x=3
divide both sides by 1.5
1.5 and 1.5 cancel out
3/1.5= 2
x=2
1.5 x 2= 3
this is correct
Find the zeros 7x(x-11)-2(x-11)=0
Answers
(x-11)(7x-2)=0
x=11 or x=2/7
Answer:
x = [tex]\frac{2}{7}[/tex], x = 11
Step-by-step explanation:
Given
7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term
(x - 11)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
-4x(5x +1)
this needs to be written in polynomials
Answers
Answer:
-20x^2-4x
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.
a.Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.
b.Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answers
Answer:
This isnt really answer able. Its really a opinion
Step-by-step explanation:
FREE POINTS
DOGWATER
BOXED
Emilio earns $15 per hour at one job and $18 per hour at a second job. He works for 3 hours at the first job and 90 minutes at the second. What is his average hourly pay rate?
Answers
explanation: i’m good at math
Simplify the following expression. (52x + 61y) + (-6x + 47y)
Answers
Answer:
46x + 108y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(52x + 61y) + (-6x + 47y)
Step 2: Simplify
Combine like terms (x): 46x + 61y + 47yCombine like terms (y): 46x + 108yin the rectangle ABCD, AC=2x+19 and BD=5x-2. Find the value of x. Diagram is not drawn to scale
howdy got another, typed the question this time so it'll be easy for others to find it as well :)
Answers
Answer: x=7
Step-by-step explanation:
AC=BD
2x+19=5x+2
19-2=5x-2x
21=3x
x=21/3
x=7