The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at least the one zero greater than 4.
X^2+11x+30
X^2-5x-14
X^2+5x-24
X^2-5x+6
Answers
========================================================
Explanation:
Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.
The x intercept is the same as the root or zero of a function.
You should find that only choice B has a root thats larger than 4. That specific root being x = 7.
----------------------------
A non-graphing approach:
You can use the quadratic formula or the factoring method to find the roots.
For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.
On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.
Here are the steps for the quadratic formula for choice B
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\[/tex]
The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.
Related Questions
Where did Hip-Hop get its start?
A. Sunderland
B. New York
C. Atlanta
D. Hendersonville
Answers
Answer:
New York
Step-by-step explanation:
PLEASE HELP ME PLEASE HELP ME I NEED HELP ON SIX PLEASE ANSWER ME AND DONT SEND LINKS THAT DONT WORK!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Pudge sold 8 tickets, Christi sold 19
tickets, Ace sold 38 tickets
Step-by-step explanation:
x = Pudge
3x - 5 Christi
2(3x-5) = Ace
Let x, 3x - 5 and 2(3x-5) be the tickets
x + (3x- 5) +2(3x - 5) = 65
Combine like terms
x+ (3x - 5) + 6x - 10 = 65
4x -5+6x - 10 = 65
10x - 5-10 = 65
Transpose -5 and -10 and change their
signs
10x = 65 +5+ 10
Add
10x = 80
Divide both sides by 10
10x/10x = 80/10
x =8
Pudge sold 8 tickets.
Evaluate x as 8
3x-5
3(8)-5
24-5 19
Christi sold 19 tickets.
2(3x-5)
2(3(3)- 5)
2(24- 5)
2(19)= 38
Ace sold 38 tickets.
Checking:
x+ (3x - 5) +2(3x - 5) = 65
8+(3(8)-5) +2(3(8) - 5) = 65
8 +19 +38 = 65
65 =65
which transformation would take figure a to figure b
Answers
Answer:
C. A reflection over the line y = -x
Step-by-step explanation:
You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).
Put that information in slope-intercept form
y = -1x + 0
You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.
y = -x
Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.
Choose two equations that can be used to find the height, h, of the tree. what is the equation
Answers
Answer:
the answer is... Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.
Choose two equations that can be used to find the height, h, of the tree.
Step-by-step explanation:
hope it helps
The two equations that can be used to find the height are as follows:
12 / 4 = h /5
5 / 4 = h / 12
What is Similar Triangles?Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.
here, we have,
Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.
The tree cast a shadow of 12 ft.
Let's establish the proportion base on similar triangles. The height of the tree is h.
Therefore,
h / 12 = 5 / 4
Therefore,
h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows:
12 / 4 = h /5
5 / 4 = h / 12
learn more on similar triangles here:
brainly.com/question/12685664
#SPJ7
What is the perimeter of the triangle?
Answers
Can someone please help me with this ty!
Answers
7 5/10 - 2 2/11 estimate the difference. HELP.
Answers
Answer:
605/110
Step-by-step explanation:
75*11/110
-
22*10/110
=605/110
what is the gcf for 5 and 25?
Answers
Answer:
5
Step-by-step explanation:
Because the only number that can go into 25 besides 1 is 5 and for 5 1 so your answer for the GCF or greatest common factor is 5.
hope this helps have a great day:)
Answer:
5
Step-by-step explanation:
. We are given: 5, 25The methods to find the GCF of 5 and 25 are explained below.Using Euclid's AlgorithmPrime Factorization MethodLong Division MethodAs per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)
where X > Y and mod is the modulo operator.
Here X = 25 and Y = 5
GCF(25, 5) = GCF(5, 25 mod 5) = GCF(5, 0)
GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, where X ≠ 0)
Therefore, the value of GCF of 5 and 25 is 5.
Can you help with my math work please
Answers
Answer:
A. pen 0.75, pencil 0.50
Step-by-step explanation:
there is 4 of each that means you have to multiply by 4so
0.75 × 4 = 3
0.50 × 4 = 2
add them up equal 5
Answer:
The correct option is A. Pen $0.75; pencil, $0.50
What would the answer be
Answers
A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 10^{\circ} ∘ , before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 21^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answers
The distance between points A and B and the boat is an illustration of elevation and distance
The distance from point A to point B is 346 feet
How to calculate the distance ABThe height of the lighthouse is given as:
h = 113
The distance between point A and the base of the lighthouse is calculated using the following tangent ratio
[tex]\tan(10) = \frac{113}{A}[/tex]
Make A, the subject
[tex]A = \frac{113}{\tan(10)}[/tex]
[tex]A = 640.85[/tex]
The distance between point B and the base of the lighthouse is calculated using the following tangent ratio
[tex]\tan(21) = \frac{113}{B}[/tex]
Make B, the subject
[tex]B= \frac{113}{\tan(21)}[/tex]
[tex]B= 294.38[/tex]
The distance AB, is then calculated as:
[tex]AB = A - B[/tex]
[tex]AB = 640.85 - 294.38[/tex]
[tex]AB = 346.47[/tex]
Approximate
[tex]AB = 346[/tex]
Hence, the distance from point A to point B is 346 feet
Read more about elevation and distance at:
https://brainly.com/question/7243416
What´s the answer in radical form
Answers
Step-by-step explanation:
Pythagoras
c² = a² + b²
c being the Hypotenuse (the line opposite of the 90° angle) of the right-angled triangle.
9² = 5² + side²
81 = 25 + side²
56 = side²
side = sqrt(56) = sqrt(4×14) = 2×sqrt(14)
Pls help me……………. Pls
Answers
Answer:
its 53
Step-by-step explanation:
How many eighth graders chose History as their favorite subject. Round answer to the nearest whole number.
19%
22%
27%
33%
Answers
The percentage of eighth-graders that chose History as their favorite subject is 19%
Percentages and proportionFrom the given table, we have the following parameters
Total students in the 8th grade = 124 students
Total number of 8th graders that chose history = 11 + 12
Total number of 8th graders that chose history = 23
Required percentage = 23/124 * 100
Required percentage = 19%
Hence the percentage of eighth-graders that chose History as their favorite subject is 19%
Learn more on percentages here: https://brainly.com/question/24304697
(1) (7 total points)
Line segment AB has endpoints A(-2, 0) and B(4, 8).
Point C is on the line segment AB and is located at (2.5, 6).
What is the ratio of CB
AC
? DO NOT use the Section Formula to solve this problem.
Show me: (show all math work needed to calculate each part)
a) graph of segment AB with points A, B, C labeled and showing (x, y) coordinates (3 points)
b) length of segment AC (1 point)
c) length of segment CB (1 point)
d) ratio CB
AC
(1 point)
e) reduced fraction CB
AC
(1 point)
Answers
Answer:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
3AC=CB
CB
AC
=
3
1
Since, A(1,1) and B(2,3) & m:n=1:3
Therefore, we have
C(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(
1+3
(1)(2)+3(1)
,
1+3
(1)(3)+3(1)
)
C→(
4
5
,
2
3
).
Step-by-step explanation:
which of the following statements holds true about the number group on the home tab. a) The number group contains options for changing the appearance of the text.
b)The number group contains option for changing the Orientation and indentation of text.
c)The number group provides various format for specifying how do you want that values in a Cell to be displayed.
d)The number group provides options for applying border around the selected range of data.
Answers
Answer:
i don't know what you're question is about
which equation shows x2+6x-6=0
Answers
Answer :0.75
Step-by-step explanation:
2x+6x-6=0
2x+6x=6
8x=6
x=6/8
x=0.75
HOPE IT HELPS .... MARK ME BRAINLIEST
I don't know this. Can someone please help me. I am in 7th grade.
Answers
Answer:
590 or 589.89
Step-by-step explanation:
Hope this helps!
Answer:
1380.25
Step-by-step explanation:
So to solve this problem, you find the outside circle and subtract it from the inside circle.
So, lets find the basic values
Radius of inside circle = diameter of the inside circle / 2
= 27.6
= 13.8
Radius of outside part = 11.3
So the area of the outside circle is
A = pi r^2
= pi (11.3 + 13.8)^2
= 630.01
= 1978.23
And the area of the inside circle is
A = pi r^2
= pi (13.8)^2
= 190.44
= 597.98
To find the shaded part, we subtract the outer circle with the inner circle
1978.23 - 597.98 = 1380.25
The area of the shaded region is 1380.25
A cube has an edge length of 14 feet. What is its volume, in cubic feet?
Answers
Answer:
V=2744ft³ is the answer
Answer:
2,744 cubic feet
Step-by-step explanation:
You only need a single measurement, then you multiply it by itself and by itself again, equivalent to raising it to the power of 3. Finally, adjust the unit to its cubic equivalent. in this case Volume = (Edge of the cube) 3 so 14 x 14 x 14 is 2,744
Fabios had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
Answers
Answer:
fabio=2(carlos)-7
31=2(x)-7
31-7=2x
24=2x
x=12
Step-by-step explanation:
Please help me!!!!
I need it ASAP
Answers
Explanation is attached
Can anyone help me with this dont answer if you dont no what it is and no deleting answers
Answers
what is 4.87 x 7.23 (show ur work with a pic)
Answers
( Hope your day goes well :) )
Normal Samantha is using ribbon to make bows to be sold at a school fundraiser. She has 83.2 meters of ribbon. She needs 1.28 meters of ribbon for each bow. How many bows she can make?
The answer would be 65
hope that helps :b
Answers
Answer:
83.2 meters ÷ 1.28 meters = 65 bows
What is the change in volume of a rectangular prism if you double the area of one of the
faces?
a. The volume would double.
b. The volume would quadruple.
c. The volume would be multiplied by 8.
d. The volume would be multiplied by 16.
Answers
Answer:
a
Step-by-step explanation:
Volume = l*b*h = (l*b)*h =Area of base * h
If we double the area of one face
then,New Volume = (2*area of base)*h
=2*(l*b)*h = 2lbh =2 * (volume)
Maritar has a
triangluar garden 17% of it in plantel corrests, what
area is planted with carrots...
Answers
Answer:
WRONG SUBJECT
Step-by-step explanation:
YOU'RE QUESTIOON WAS DELETED FOR THE WRONG SUBJECT
(5x-25)(x+4)=0
What’s the answer
Answers
Answer:
x = - 4, x = 5
Step-by-step explanation:
(5x - 25)(x + 4) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
5x - 25 = 0 ⇒ 5x = 25 ⇒ x = 5
Answer:
x = - 4, x = 5
Step-by-step explanation:
(5x - 25)(x + 4) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
5x - 25 = 0 ⇒ 5x = 25 ⇒ x = 5
Hence, the correct answer is x=-4, x=5
What is the area of a triangle with vertices at (−4, −6), (1, −6), and (1, 2)?
Answers
Answer:
The answer is (1,2) I'm pretty sure that is the answer if it is not please tell me I'll check.
4x0.75
Expian pls
4x0.75
4/0.65
Answers
Answer:
3
Step-by-step explanation:
0.75 out of 1 for 4 is 3
for 4
0.25 is 1
0.5 is 2
0.75 is 3
1 is 4
4/0.65 = 2.15 (not 100% on this one)
NEED ANSWER ASAP AND MARKING BRANLIEST
Answers
The given quadratic equation forms a parabola when graphed, a U-shaped line.
To find the minimum value of y, we could find the y-coordinate of the vertex.
What is the vertex?The vertex represents the maximum or minimum point on a parabola. It tells us the optimal y-value of the function and the x-value at which it occurs.
For the given quadratic, [tex]y=x^2+6x+7[/tex] the optimal y-value, or the y-coordinate of the vertex, will be a minimum. The [tex]x^2[/tex] value is positive, meaning the parabola will open upwards. (Please see below for an image representation).
Different Ways to Approach the ProblemThere are multiple ways to approach this question.
One way is to rearrange the equation, which is currently in standard form, to vertex form.
Standard form for a quadratic: [tex]y=ax^2+bx+c[/tex]Vertex form for a quadratic: [tex]y=a(x-h)^2+k[/tex] where (h,k) is the vertexAnother way is to factor the equation to first find the x-intercepts of the graph, find the x-coordinate of the vertex, then at the end, plug the x-coordinate into the equation to find the minimum y-value.
The second strategy is a bit redundant for this type of question, so we can go about solving it by using the first method.
Finding the Vertex of this Parabola[tex]y=x^2+6x+7[/tex]
First, we can group [tex]x^2[/tex] and [tex]6x[/tex] by using a set of parentheses:
[tex]y=(x^2+6x)+7[/tex]
Then, we can complete the square:
[tex]y=(x^2+6x+(\dfrac{6}{2})^2)^2+7-(\dfrac{6}{2})^2[/tex]
[tex]y=(x^2+6x+9)^2+7-9\\\\y=(x^2+6x+9)^2-2[/tex]
Apply the rule [tex]a^2+2ab+b^2=(a+b)^2[/tex]:
[tex]y=(x+3)^2-2[/tex]
Therefore, the vertex of the quadratic is (-3,-2).
This makes the minimum y-value -2. The x-value at which this occurs is -3.
Answer:The minimum y-value -2. The x-value at which this occurs is -3.
