PLZZ HELP
Graph the function f(x)=x^2-4x-12 on the coordinate plane.
A)What are the x-intercepts
B)What is the y-intercept?
C)What is the vertex?
Answers
Answer:
A) (-2,0) and (6,0)
B) (0,-12)
C) (2,-16)
Step-by-step explanation:
In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!
The x intercept will be ( -2,0 ) and ( 6,0 ) , y intercept will be ( 0, -12 ) and vertex will be at ( 2 , -16 ).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function,
f(x)=x²-4x-12
A) x-intercept;
For the x-intercept, the value of y or f(x) will be 0 so.
0 = x² -4x -12 ⇒ x = -2 , 6
So
x-intercept will be ( -2,0 ) and ( 6,0 ).
B) y-intercept
At the y-intercept the value of x will be 0 so
f(x) = -12
So
The y-intercept will be ( 0, -12 ).
C) Vertex
For vertex the slope will be 0 so
f'(x) = 0 ⇒ 2x - 4 = 0 ⇒ x = 2
The value of y at x = 2 will be
f(2) = -16
so
vertex will be at ( 2, -16 ).
For more about the function
brainly.com/question/23712366
#SPJ2
Related Questions
Please answer number two I will give brainliest thank you!
Answers
Answer:
42
Step-by-step explanation:
arrange the numbers either in ascending or descending order and find the one right in the middle
nine thousand and ninety
Answers
Answer:
I don't really know what your asking but you write nine thousand and ninety like 9090.
Step-by-step explanation:
Hope this helped :)??
Given the functions f(x) = x(x-2) and g(x) = 2x + 4, which is the corresponding table?
Answers
Answer:
see below
Step-by-step explanation:
One of the ways you can tell is that g(x) is always even. Only one table has that.
g(x) = 2(x +2)
g(x) has a factor of 2 in every result, so cannot be odd for any integer x.
Please help !! ASAP !!
All chooses are true or false.
Answers
Answer:
T,F,T,T
Step-by-step explanation:
I’m not sure how technical they’re being with the last prompt but he would actually make 108 checkouts by clock out time. Sooo I’d say true, since he made more than inferred, rather than less.
Answer:
The first one is technically both because he will complete 18 every hour, not 16
The second one is false
Third one is true
and the fourth one is kind of like the first one where he will complete 108 in the span of 6 hours which is more than expected
Hope this helps
Step-by-step explanation:
solve the system of equations y=4x+1, y=x2+2x-2
Answers
(-1,-3) and (3,13)
Given in the question two equations
y = 4x + 1
y = x² + 2x - 2
Equate both functions
4x + 1 = x² + 2x - 2
rearrange the x term and constant
-x² + 4x - 2x + 2 + 1 = 0
-x² + 2x + 3 = 0
factors
-x * 3x = -3x²
-x + 3x = 2x
-x² -x + 3x + 3 = 0
-x(x+1) +3(x+1) = 0
solve
(x+1)(3-x) = 0
x = -1
and
x = 3
Plug these values in equation to find y
x = -1
y = 4(-1)+ 1
y = -3
x = 3
y = 4(3)+ 1
y = 13
The shape of the Gateway Arch in St. Louis,
Missouri resembles a parabola with the
equation h - 0.00635x^2 +4.0005x -0.07875,
where h is the height in feet and z is the
distance from one base in feet,
What is the distance from one base of the arc
to the other? This answer to the nearest foot is equal to u.
Answers
Answer:
630 ft
Step-by-step explanation:
The equation of the parabola shaped arc is given as:
[tex]h =-0.00635x^2 +4.0005x -0.07875[/tex]
In a parabola, the line of symmetry divides the parabola into two equal parts.
Therefore, to find the distance from one base of the parabola to the other, we simply multiply the x-value at the line of symmetry by 2.
For a quadratic equation of the form [tex]y=ax^2+bx+c[/tex]:
Equation of symmetry: [tex]x=-\dfrac{b}{2a}[/tex]Therefore, distance from one base of the arc to the other
[tex]=-\dfrac{b}{2a} X 2\\\\=-\dfrac{b}{a}[/tex]
In our given equation:
[tex]a=-0.00635, b=4.0005\\$Therefore:Distance = $ -\dfrac{4.0005}{-0.00635}\\=630$ ft[/tex]
The distance from one base of the arc to the other is 630 ft.
I will ark the brinlest to the first person who answers.
A student submitted a drawing of their playroom with a scale of 2 inches = 5 feet. On the drawing, the playroom was 6.5 inches wide and 9.25 inches long. What is the ACTUAL AREA of the playroom? (round to the nearest tenth; show your work in numbers)
Answers
Answer:
area = 375.8 ft^2
Step-by-step explanation:
The scale is 2 inches = 5 feet.
The room is 6.5 inches wide in the drawing. We need the real width, x.
2 in./5 ft = 6.5 in./x
2x = 5 * 6.5
2x = 32.5
x = 16.25
The real width is 16.25 ft.
The room is 9.25 inches wide in the drawing. We need the real length, y.
2 in./5 ft = 9.25 in./y
2y = 5 * 9.25
2x = 46.25
x = 23.125
The real length is 23.125 ft.
Area of rectangle = length * width
area = 23.125 ft * 16.25 ft
area = 375.78125 ft^2
area = 375.8 ft^2
alguien puede ayudarme
Calcula en cuánto se transforman C$ 1,000.00 en un año al 7% anual si los periodos de capitalización son semestrales.
Answers
Answer:
8
Step-by-step explanation:
simplemente encuentre el total de los 8 pagos. Hay 8 pagos ya que habrá 8 retiros totales: (2 años) × (cuatro retiros por año) = 8 retiros.
If h = 7 inches and r = 3 inches, what is the surface area of the geometric shape formed by this net?
Answers
Answer:
7 inchedhmutk84ky2oy73873uryr
Answer:
21porqse multiplica dos +64+55+77ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answers
Answer:
The answer is (c) as you can see that in (c) option , every element has only 1 image , which is not in the case of others
find the distance between the points (3,4) and (-8,4)
Answers
Answer:
Distance = 11
Step-by-step explanation:√(-11)^2+0^2
√(121+0)
√(121)=11
Answer:
11
Step-by-step explanation:
In which diagram are angles 1 and 2 vertical angles?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line intersect with another line forming 4 angles. Labeled clockwise from top-left: 1, 2, blank, blank.
Answers
Answer:
Yes, the answer is A
Step-by-step explanation:
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Then the correct option is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
PLEASE ANSWER ASAP! WILL GIVE BRAINLIEST+12 POINTS!
Rewrite the expression in the form a^n
(a^5)^2
Answers
Answer:
a¹⁰
Step-by-step explanation:
[tex](x^{m} )^{n} =x^{mn}[/tex]
So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰
What is the spread of the data in the dot plot? Number of Apples in Each Bag A dot plot going from 10 to 15. 10 has 2 dots, 11 has 0 dots, 12 has 4 dots, 13 has 3 dots, 14 has 5 dots, and 15 has 6 dots. from 0 to 5 from 10 to 15 from 12 to 15 from 0 to 6
Answers
Answer:
10 to 15 (B)
Step-by-step explanation:
Find attached the diagram of the dot plot.
A measure of spread is used to describe the variation in a sample or data set. It is sometimes referred to as a measure of dispersion.
It is usually used together with the mean or median, to provide an overall description of a set of data.
There are two measures of spread: range and standard deviation. Range is the simplest in terms of calculation.
In this question, the range is used to determine the spread of the data set.
From the dot plot,
The range = the highest value - lowest value in a data set.
The highest value = 15
The lowest value = 10
Therefore the spread of the data in the dot plot is from 10 to 15 (B)
Answer:
B: from 10 to 15
Step-by-step explanation:
edg2020
Is the decimal expansion of this fraction repeating or terminating?
23/0
Answers
Answer:
Terminatng
Step-by-step explanation:
if you divide any number by 0 . the quotient would be 0 .
Answer:
neither
Step-by-step explanation:
The value of 23/0 is "undefined." It has no decimal expansion.
There are 644 boys and 520 girls in a school. The probability that a boy is chosen at random studies French is 3/7. The probability that a girl is chosen at random studies French is 5/8.
a) Work out the number of students in the school who study french
b) What is the probability, as a fraction, that a student chosen at random from the whole school does NOT study French
Answers
Answer:
a. 601
b.
[tex]\frac{563}{1164}[/tex]
Step-by-step explanation:
a. The number of students in the school who study french:
The number of boys who study french + The number of girls who study french:
= (3÷7)×644+(5÷8)×520
= 601
b. the probability that a student does NOT study French :
= P(boy does not study french) + P(girl does not study french)
[tex]=(\frac{644}{1164} ) (1-\frac{3}{7} )+(\frac{520}{1164} )(1-\frac{5}{8} )\\\\= \frac{563}{1164}[/tex]
Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds of raisins at $2.67 per pound, 3 pounds of peanuts for $2.73 per pound, and 5 pounds of chocolate chips for $3.27 per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $________.
Answers
Answer:
$2.96
Step-by-step explanation:
3x$2.67=$8.01
3x$2.73=$8.19
5x$3.27=$16.35
$8.01+$8.19+$16.35=$32.55
This makes 11 pounds of trail mix.
$32.55 divided by 11 = $2.9590909 = $2.96
Una persona observa en un ángulo de 54° lo alto que es un edificio; si la persona mide 1,72 metros y está ubicada a 18 metros de la base del edificio.
a) cuál es la altura en metros del edificio
Answers
Answer:
[tex]h=26.49m[/tex]
Step-by-step explanation:
First, take a look at the picture I attached you. It is a drawing which represent the problem.
As you can see from the picture the building height [tex]h[/tex] would be the sum of the person's height plus the length of the side [tex]a[/tex] of the triangle:
[tex]h=1,72m+a[/tex]
There are many ways to solve this problem, however I believe that the easiest one is using tangent identity which states:
[tex]tan(\theta) =\frac{opposite}{adjacent}[/tex]
Hence:
[tex]tan(54)=\frac{a}{18}[/tex]
Solving for [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
So the building height is:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
Translation:
Primero, mira la imagen que te adjunté. Es un dibujo que representa el problema.
Como puede ver en la imagen, la altura [tex]h[/tex] del edificio sería la suma de la altura de la persona más la longitud del lado [tex]a[/tex] del triángulo:
[tex]h=1,72m+a[/tex]
Hay muchas maneras de resolver este problema, sin embargo, creo que la más fácil es usar la identidad de la tangente que establece:
[tex]tan(\theta) =\frac{opuesto}{adyacente}[/tex]
Por lo tanto:
[tex]tan(54)=\frac{a}{18}[/tex]
Resolviendo para [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
Entonces la altura del edificio es:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
What is 2 log (5x) +1/3 log (x2+6
Answers
Answer:
Step-by-step explanation:
(5x)² + ∛(x²+6)
Answer:
Log 5x^2 ( x^2 + 6) ^(1/3)
Step-by-step explanation:
Explanation shown in the attachment; this could have been further simplified using binomial expansion
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answers
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
OrYou can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
order the values from least to greatest
Answers
Step-by-step explanation:
64 2/3 = 16
4 square root 256 = 64
16 3/2 =64
3 square root - 64 = - 24
16 - 24 64 64
6th grade math help me please :))
Answers
Answer:
1: 7 2: 3
Step-by-step explanation:
Answer:
1.)x=7
2.)x=27
Step-by-step explanation:
1.) 84/12=7
2.) 9*3=27
27/9=3
A circle has a radius of 6/7 units and is centered at (-2.3, 0). Write the equation of this circle.
Answers
Answer:
[tex](x+2.3)^{2} +y^{2} =36/49[/tex]
Step-by-step explanation:
To get the equation of a circle we plug your information into this equation:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Your h is the x coordinate of the center, -2.3 and your k is the y coordinate of the center, 0. The r is your radius. So we plug these values in to get [tex](x+2.3)^{2} +y^{2} =(6/7)^{2}[/tex] which then gives us the final answer of [tex](x+2.3)^{2} +y^{2} =36/49[/tex].
Dayle and his two brothers each eat 5/12 of a chocolate bar. How much
chocolate bar did they eat altogether? Solve and explain your work *
Answers
Answer:
Shown from explanation below.
Step-by-step explanation:
If they both eat 5/12 each, it means they would both eat;
5/12 + 5/12 = (5 + 5)/12 = 10/12 = 5/6 of a bar.
Answer:
5/12 per brother x 3/1 brothers = 15/12 chocolate bars ate so the brothers ate 15/12 chocolate bar because each brother ate 5/12 and there are 3 brothers so we multiply
15/12 = 1 1/4 = 5/4
Step-by-step explanation:
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability 2/5 of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability 3/8 of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answers
Answer: 2/5 x 0= 0
Step-by-step explanation:
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $160 and the lower-priced speaker dock sells for $80. Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $2,880. How many lower-priced speaker docks did it sell?
Answers
Answer: its yuo have to add 160+80=
Step-by-step explanation:
A curve has the equation y=(k+x/2)In 2x
The normal to the curve at B(0.5, 0) is parallel to the line 29 y = 6x +5.
Find the value of k.
Answers
Answer:
the answer is 92
Step-by-step explanation:
Please help asap 50 points
Answers
Answer:
Work it out yourself by following through the guidance
Step-by-step explanation:
Now the general equation of a moving object in a translational motion is given by;
S = ut + 1/2 at^2;
Where S- distance
a- acceleration
u- initial velocity
t- time
S = distance and in this case it would be Height 'H'
a= acceleration and in this case it will be 'g' acceleration due to gravity because the rocket would be under the influence of gravity.
When you substitute that you should be able to derive the expression for that of the quadratic equation.
And with the equation when you take values of x and substitute them in the expression above you get the values of h and you can then plot this point to form the graph.
Answer:
Step-by-s
S = ut + 1/2 at^2;
Where S- distance
a- acceleration
u- initial velocity
t- timetep explanation:
Is a quadrilateral a square? (True or False)
PLEASE HELP QUICKLY!
Answers
Answer:
True
Step-by-step explanation:
135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
Less than 5hrs (5 to10hrs) (More than 10) Total
Male (M) 25 25 20 70
Fmale (F) 20 30 15 65
Total 45 55 35 135
a) Complete the joint and marginal probability.
b) Find the probability that a student studied 5 to 10 hours.
c) Find the probability that a student is a male and spends less than 5 hours studying.
d) Find the probability that a student is a female or spends more than 10 hours studying.
e) Find the probability that a student spends more than 10 hours studying given that the student is a female?
f) Find the probability that a student is a male given that he spends less than 5 hours studyin
Answers
Answer:
B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9
Step-by-step explanation:
- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total
Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70
Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65
Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135
Probability = (required outcome / Total possible outcomes)
B) probability that a student studied(5 - 10 hours)
P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27
C) Find the probability that a student is a male and spends less than 5 hours studying
P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27
D) Find the probability that a student is a female or spends more than 10 hours studying.
P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27
E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?
n(Female ∩ > 10 hours) / n(Female)
15/65 = 3/13
F) Find the probability that a student is a male given that he spends less than 5 hours studying
n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9