Answer:
Relation.
Step-by-step explanation:
This is a relation but not a function. The input -1 maps to both 0 and 2; this is a one-to-many relation so it is not a function. Functions are either one-to-one or many-to-one.
Answer:
Relation cause its not a function
Step-by-step explanation:
This is a relation but not a function.
Which phrase could the expression x-4 represent? a number less than 4 the difference of a number and 4 the sum of a number and 4 four less a number
Answer:
Four less a number
Step-by-step explanation:
x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.
Answer:
The difference of a number and 4.Step-by-step explanation:
The sentence that represents better the given expression is "The difference of a number and 4".
Mainly because states the difference in the right order, first the unknown number, which is called "a number", and in second place the number 4, referring to the difference is the subtract of 4 units from the number, not in the opposite way.
On the other hand, "a number less than 4" specifies that the unknown number is minor than 4, which is not true. "the sum of a number and 4" is completely wrong, because there's no sum at all. "Four less a number" refers to a difference but in the opposite way 4-x.
Therefore, the right answer is
The difference of a number and 4.What is 2f + 4f + 2 – 3 evaluated at f = 3?
Answer:
17
Step-by-step explanation:
given
2f + 4f + 2 - 3 ← simplify by collecting like terms
= 6f - 1 ← substitute f = 3 into the expression
= (6 × 3) - 1 = 18 - 1 = 17
Answer:
17
2(f) + 4(f) + 2 - 3 | (f) = 3
2(3) + 4(f) + 2 - 3
(6 + 12) + (2 - 3)
(18) - (1)
Step-by-step explanation:
The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years. According to the regression equation, how far can a 30 year old driver see in feet?
Answer:
489 to the nearest foot.
Step-by-step explanation:
y = -2.58x + 566.67
x = 30:
y = -2.58*30 + 566.67
= 489 to nearest foot.
Answer:
A 30 year old driver can see 489.27 feet
Step-by-step explanation:
The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years.
WE need to find out the height when x is 30
Plug in 30 for x and find out y
y=−2.58x+566.67
Replace x with 30
y=−2.58(30)+566.67 = 489.27
A 30 year old driver can see 489.27 feet
If I make $14.00 an hour how much will I make monthly?
Answer:
$4032.00Step-by-step explanation:
If you are making $14.00 in an hour then in 1 day it will be $14.00 × 24 = $336.00 and in 1 month $336.00 × 12 = $4032.00
I NEED HELP!!!!!!!!!!!!!!
Answer:
I believe it's P- 3250 (2.5) t
Step-by-step explanation:
If the framework is k= yx, P is the population total. 3250 is the number after 200 and 2.5t is the rate it increases by 2.5% every year, t
9.
The original cost of a lamp is $18.95. The lamp is on sale for 25% off. How much will you pay
Answer:
$14.21
Step-by-step explanation:
To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21
Answer:
$14.2125
Step-by-step explanation:
We have been given that the original cost of a lamp is $18.95. The lamp is on sale for 25% off.
Since the lamp is on a 25% sale, then the cost of the lamp would be 75% (100%-25%) of the original price.
[tex]\text{Cost of lamp after sale}=\$18.95\times \frac{75}{100}[/tex]
[tex]\text{Cost of lamp after sale}=\$18.95\times 0.75[/tex]
[tex]\text{Cost of lamp after sale}=\$14.2125[/tex]
Therefore, you will have to pay $14.2125 for the lamp.
If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x + 6)2 + (y + 10)2 = 20 B) (x − 6)2 + (y − 10)2 = 20 C) (x + 6)2 + (y + 10)2 = 2 5 D) (x − 6)2 + (y − 10)2 = 2 5
Answer:
[tex]\large\boxed{A.\ (x+6)^2+(y+10)^2=20}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).
The midpoint of a diameter is a center of a circle.
The formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10[/tex]
We have h = -6 and k = -10.
The radius is the distance between a center and the point on a circumference of a circle.
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute (-6, -10) and (-8, -6):
[tex]r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}[/tex]
Finally we have
[tex](x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20[/tex]
Answer:
It's A...Just had it but i Chose B but it's A
Step-by-step explanation:
What are the zeros of the function y=2x^2+9x+4?
Answer: OPTION A
Step-by-step explanation:
To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:
- You must rewrite it as following:
[tex]2x^2+9x+4=0[/tex]
-You can apply the Quadratic formula, which is shown below:
[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]
In this case:
[tex]a=2\\b=9\\c=4[/tex]
- Therefore, when you substitute values, you obtain:
[tex]x=\frac{-9\±\sqrt{(9)^2-4(2)(4)}}{2(2)}[/tex]
[tex]x_1=-4\\\\x_2=-\frac{1}{2}[/tex]
The zeroes of the function y = 2x² + 9x + 4 is x = -1/2 and x = -4.
Given a function,
y = 2x² + 9x + 4
We have to find the zeroes of the function.
Zeroes of the function are the values of x or the input values when the values of y or the output values become 0.
Here the zeroes are the x values when y = 0.
Consider,
y = 2x² + 9x + 4
Let y = 0
2x² + 9x + 4 = 0
Using the quadratic formula,
Discriminant = √(9² - (4×2×4)) = √49 = 7
x values are,
x = (-9 ± 7) / 4
x = -1/2 and x = -4
Hence the correct option is A.
Learn more about Zeros of Functions here :
https://brainly.com/question/31654173
#SPJ1
Which method is the most efficient method to use to solve x^2+4x+3=0
Answer:
Factoring
Step-by-step explanation:
To solve the equation [tex]x ^ 2 + 4x + 3 = 0[/tex], you must apply the factoring method.
You must find two real numbers b and c such that:
[tex]b + c = 4[/tex]
and
[tex]b(c) = 3[/tex]
Then the expression:
[tex]x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)[/tex]
You can prove that:
[tex]b = 3\\c = 1[/tex]
So
[tex]x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)[/tex]
[tex](x + 3)(x + 1) = 0[/tex]
[tex]x +3 = 0[/tex] or [tex]x + 1 = 0[/tex]
[tex]x = -3[/tex] or [tex]x = -1[/tex]
X will be -1 and -3!
What is the degree of the measure of the minor arc QS? Answer choices are A. 10 B. 15 C. 20 D. 40 Please show work!
Answer:
Option D. [tex]40\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m<QPS=\frac{1}{2}(minor\ arc\ QS)[/tex]
we have
[tex]m<QPS=20\°[/tex] ----> given problem
substitute
[tex]20\°=\frac{1}{2}(minor\ arc\ QS)[/tex]
[tex]40\°=(minor\ arc\ QS)[/tex]
Rewrite
[tex]minor\ arc\ QS=40\°[/tex]
What point is on the graph of f(x)=4x
The point (1, 4) is on the graph of the function f(x)=4x.
To find a point on the graph, we can choose any value for x and compute the corresponding y-value using the function's formula.
For example, if x = 1, then f(1) = 4(1) = 4, so one point on the graph is (1, 4).
The point (1, 4) fulfills the dependence of y on x represented by the function f(x).
Mark launches a toy rocket with an initial vertical velocity of 25ft/s from a platform that is at ground level. how long will the toy rocket be in the air?
Answer:
A
Step-by-step explanation:
First: C is incorrect. It is using the value of acceleration due to gravity in the metric system.
Second: the 16 must be opposite in sign from the 25. That makes B and D incorrect.
Answer: A
in the equation y=4x-7, what is the value of y when x=2?
Answer:
-56Step-by-step explanation:
y=4x-7= x=2y=4(2)-7
y=(4)(2)(−7)
Answer:
y=−56
Value of y when x = 2 is 1.
What is an equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given equation
y = 4x-7
Value of y when x = 2
Substitute x = 2 in above equation
[tex]y = 4 \times 2 -7[/tex]
[tex]y=8-7[/tex]
y = 1
Value of y when x = 2 is 1.
Find out more information about equation here
brainly.com/question/2263981
#SPJ2
Jillian planted a sunflower. The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches.
h(d)= 3/7d + 5
How tall will her sunflower be after one week?
Answer:
8in
Step-by-step explanation:
input (D) which is 7 days to find the height
h(d) = 3/7d +5
h = 3/7(7) + 5
h = 3+5
h=8
Answer:
8in
Step-by-step explanation:
The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches. h(d)= 3/7d + 5.
Which angle is adjacent to angle BGC
A. Angle AGB
B. Angle FGE
C. Angle BGE
D. Angle AGF
In simple terms, an adjacent angle shares a common vertex and one side with the given angle. From the choices given, Angle BGE is adjacent to Angle BGC since it shares the vertex G and side BG.
Explanation:In geometry, an adjacent angle shares a common vertex and a common side but do not overlap. If we consider the Angle BGC, the angle that shares its vertex at G and one of its sides (the side GB or GC) would be the adjacent angle. Based on the options provided and the definition of adjacent angles, the angle adjacent to Angle BGC would be Angle BGE as it fulfills the criteria of sharing a common vertex (G) and a side (BG) with Angle BGC.
Learn more about Adjacent Angles here:https://brainly.com/question/12838185
#SPJ3
Plz help me!!!!!!!!!!
Answer:
a = ( 5 +/- sqrt(57) )/2
Step-by-step explanation:
Uh...well just multiply by a and move the 4, setting the equation to 0.
a, b, and c are 2, -5, -4
Plug that into the QuadF.
Answer: [tex]\bold{\dfrac{5\pm \sqrt{57}}{4}}[/tex]
Step-by-step explanation:[tex]2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}[/tex]
If point S is reflected across the y-axis, what are the coordinates of its reflection image.
A. (2,-3)
B.(-2,3)
C.(3,-2)
D.(-3,2)
Answer:
D) coordinates of its reflection image is ( -3 , 2) .
Step-by-step explanation:
Given : S ( 3 ,2) If point S is reflected across the y-axis,
To find : what are the coordinates of its reflection image.
Solution : We have given S ( 3 ,2).
By the reflection rule over y -axis : (x ,y) →→ ( -x , y) .
Then x = 3 , y = 2
Then coordinates of its reflection image is
(3 , 2 ) →→ ( -3 , 2) .
Therefore, D) coordinates of its reflection image is ( -3 , 2) .
A simple random sample of ten people is taken from the set of all registered voters in a given district to determine their average age. Which of the following is a reason why you can not make a statistical inference on the population?
Answer:
The sample size is not appropriate.
The population isn’t given to be approximately normal. And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.
Answer:
Answers are : (1st & 2nd choices)
• The sample size is not appropriate.
• The population isn't given to be approximately normal.
Which type of cross section is formed when the cone is intersected by a plane containing the axis of rotation?
When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section in geometry.
Explanation:When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section. This is a key concept in geometry, where the intersection of a plane with a cone results in different types of curves known as conic sections.
Factor x squared minus 9?
The expression 'x squared minus 9' represents a difference of two squares. It can be factored using the rule a² - b² = (a - b)(a + b), resulting in (x - 3)(x + 3).
Explanation:The expression x squared minus 9 is a difference of two squares, which can be factored into two binomials. The general rule for factoring a difference of squares is that a² - b² = (a - b)(a + b). Therefore, x² - 9 can be factored as (x - 3)(x + 3). Here, 'x' is the square root of 'x²' and '3' is the square root of '9'. Thus,
x² - 9 = (x - 3)(x + 3).
Learn more about Factoring here:https://brainly.com/question/33624529
#SPJ2
The expression 'x squared minus 9' is factored as (x - 3)(x + 3) using the difference of squares rule in algebra.
Explanation:Factoring the expression x squared minus 9 is an application of a rule in algebra known as the difference of squares. The difference of squares rule states that for any two terms a and b, the difference of their squares can be factored as (a - b)(a + b). Apply this rule to the given expression x squared minus 9
by considering 'x' as 'a' and '3' as 'b' (since 3 squared is 9), we get (x - 3)(x + 3) as the result. So, x squared minus 9 factors into (x - 3)(x + 3).
Learn more about Factoring here:https://brainly.com/question/34290719
#SPJ2
Can someone help me out pls
Answer:d
Step-by-step explanation:because of you add 500 and 3%
What is the volume of the square pyramid with base edges 24 m and height 9 m?
V=1728m³
Hope this answer helps!!
Felicia is a girl who plays on a co-ed volleyball team. Besides Felicia, the team is made up of 7 boys and 4 other girls. The team decided to randomly select its team captain. What is the probability that Felicia will be selected team captain
Answer:
1/14
Step-by-step explanation:
There are 9 + 4 + 1 people to choose from. Total = 14
There is a 1/14 probability that she will be choosen.
Answer:1/12
Step-by-step explanation:
what is 3 1/8 - 1/2
Answer:
[tex]\frac{21}{8}[/tex]
Step-by-step explanation:
Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]
Let's changed that mixed number to an improper fraction. Now we get:
[tex]\frac{25}{8} - \frac{1}{2}[/tex]
Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:
[tex]\frac{25}{8} - \frac{4}{8}[/tex]
We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:
[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]
Answer:
[tex]\frac{21}{8}[/tex]Step-by-step explanation:
Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
A. (3x − 8)(x + 1)
B. (3x − 1)(x + 8)
C. (3x − 4)(x + 2)
D. (3x − 2)(x + 4)
ANSWER
[tex](3x - 2)(x + 4)[/tex]
EXPLANATION
The given quadratic trinomial is
[tex]3 {x}^{2} + 10x - 8[/tex]
Comparing to the general quadratic trinomial:
[tex]a{x}^{2} + bx + c[/tex]
We have a=1, b=10 and c=-8
[tex]ac = 3 \times - 8 = - 24[/tex]
The factors of -24 that adds up to 10 are -2 and 12.
We split the middle term to obtain;
[tex]3 {x}^{2} + 12x - 2x- 8[/tex]
Factor;
[tex]3x(x+ 4) - 2(x + 4)[/tex]
Factor further;
[tex](3x - 2)(x + 4)[/tex]
The last option is correct.
nine stores is 3% put of 100. of how many stores are a hundred percent ? use proportions or multiplication please!!
Answer:
30,000 stores
Step-by-step explanation:
setting up a proportion is proably the easiest way to solve this equation..
9/ x = 3%/100%
0.03x = 9(100)
0.03x = 900
/0.03 /0.03
x = 30,000 stores
hope this helps!!
Find the value of y.
Answer options: 62, 66, 70, 74
Answer:
The value of y = 70°
Step-by-step explanation:
∵ The measure of the major arc = 160 + 60 = 220°
∵ The measure of the circle is 360°
∴ The measure of the minor arc = 360 - 220 = 140°
∵ y is the angle between a chord and a tangent
∵ The chord subtended by the arc of measure 140°
∵ y is subtended by the arc of measure 140°
∵ Angle of tangent subtended by an arc,
its measure = half the measure of the subtended arc
∴ The measure of y = 1/2 the measure of the subtended arc
∴ y = 1/2 × 140 = 70°
Answer:
70
Step-by-step explanation:
△ABC is inscribed in a circle. Find the angle between the tangents to the circle at points B and C, if m∠CAB=50°.
Answer:
80°
Step-by-step explanation:
We know the measure of ∠CAB. This is an inscribed angle; this means its measure is 1/2 that of the intercepted arc, BC. This means the measure of BC is 100°.
This makes the measure of arc BAC is 360-100 = 260°.
The measure of the angle formed by the tangents, since it is outside the circle, will be 1/2 of the difference of the intercepted arcs. This means the measure of this angle will be
1/2(260-100) = 1/2(160) = 80°
Based on the information given, it should be noted that the angle between the tangents to the circle at points B and C will be 80°.
From the given information, we've been given the measure of ∠CAB which is 50°.Since this is an inscribed angle, it implies that the measure is 1/2 that of the intercepted arc, BC. Therefore, the measure of BC will be: = 50/0.5 = 100°.Therefore, the measure of arc BAC will be: = 360° - 100° = 260°.It should be noted that the angle between the tangents to the circle at points B and C will therefore be calculated thus:
= 1/2(260-100)
= 1/2(160)
= 80°
In conclusion, the correct option is 80°.
Learn more about circles on:
https://brainly.com/question/26168678
All perfect squares are divisible by two
Answer:
No
Step-by-step explanation:
No, because think of 9, its not divisible by two and for the second one yes, a perfect square always has a positive and negative
18% of 120 to 12% of 120
Answer: 18% of 120 is 21.6
And, 12% of 120 is 14.4
* Both of their work is below:)
* Hopefully this helps:)!! Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
18% of 120 to 12% of 12021.6 to 14.4Step-by-step explanation:
18% of 120
Convert 18% to a decimal by dividing by 100:
18 / 100 = 0.18
120 * 0.18 = 21.6
12% of 120
Convert 12% to a decimal by dividing by 100:
18 / 100 = 0.12
120 * 0.12 = 14.4
18% of 120 to 12% of 12021.6 to 14.4