Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: [tex]A_{t}=\frac{b.h}{2}[/tex].
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
[tex]10=\frac{5.a}{2}[/tex]
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer: a = 2/3
Step-by-step explanation:
y-intercept: y=a(2)(-3) = -6a
x-intercepts: (-2,0) , (3,0)
height = -6a
base = 5
Area = 10 = 0.5 x 5 x -6a
10 = -15 a
a = -2/3
BUT a>0 since it opens upwards, so:
a = 2/3
Help pls thank you so much
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
25+35=60
student book grade 5 page 87
Answer:
Brainly isn't for answer keys... It's to help you understand how to do something better or just how to do it in general.
Step-by-step explanation:
What is the x intercept of the graph of the inequality 2x + 3y > 12
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
What is the quotient of 33.288 and 7.6?
Answer:
219/50 or 4.38
Step-by-step explanation:
divide
8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48
Answer:
Twenty four (24)
Step-by-step explanation:
8 ÷ one third
one third = 1/3
8 ÷ 1/3
= 8 × 3/1
= 24/1
= 24
Which numbers are irrational?
Select each correct answer.
15−−√
21−−√
−9√
14√
Answer:
Step-by-step explanation:
square root of 15 is 3.8=irrational
square root of 21 is 4.58=irrational
square root of -9 is doesn't have a real square root
square root of 14 is 3.7 =irrational
Help me out here ✏️ Mathematics
Answer:
it's definitely F .. Your welcome
Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6
Answer:
honda
Step-by-step explanation:
Which ratio expresses the scale used to create this drawing? The camping site has dimensions of 15 meters by 60 meters.
Answer:
Answer is d on edge 2021
Step-by-step explanation:
Answer:
it is d :)
Step-by-step explanation:
I need help on this, please!
Answer:
(5,9) and (5,3)
Step-by-step explanation:
Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.
The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.
Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65. How many dollars would he get at this rate for recycling 200 pounds of cans?
Answer:
$354
Step-by-step explanation:
first we need to find out how much 1 lb of can is then we can multiply that by 200 to get the answer.
so I divided 43 by 23.65 and got 1.81818181
i'll round that to $1.82 so that equals 1 lb of a can
multiply that by 200
the answer is $354
For recycling 200 pounds of cans, he will get $110.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65.
For 43 pounds, he recieved $23.65
For 1 pound, he will receive $(23.65/43)
For 200 pounds, she will receive $(23.65/43) x 200 or $110.
Therefore, for recycling 200 pounds of cans, he will get $110.
To solve more questions on functions, expressions and equation modelling, visit the link below -
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Two students have a bitter disagreement about the answer to a homework question and decide to settle their differences in a duel at the golf cours. The rules of the duel are simple:
Each student takes a single shot from the 18th tee. If only one student's shot lands on the green, that student is declared the victor and the duel is over. If both students' shots land on the green, the result is a draw and the duel is over. If they both miss the green, then they repeat another round (and so on) until the duel ends in a draw or with a victor. The result of each tee shot is independent. Student A has not spent much time at the golf course, resulting in a 0.55 probability that her tee shot will hit the green. Student B golfs regularly, resulting in a 0.76 probability that his tee shot will hit the green.
Required:
a. Whatâs the probability that the duel ends in round 1?
b.Whatâs the probability that the duel ends in the 3rd round?
c. Whatâs the probability that the duel ends in a draw (i.e., that neither student wins)?
Answer:
a.) P(duel end in round 1 ) = 0.892
b.) P(duel ends in the 3rd round) = 0.010
c.) P(duel ends in a draw) = 0.418
Step-by-step explanation:
Let
P(A) - Probability that Student A will hit the green.
P(¬A) - Probability that Student A will miss the green.
P(B) - Probability that Student B will hit the green.
P(¬B) - Probability that Student B will miss the green.
Given,
P(A) = 0.55 , P(B) = 0.76
As we know that,
P(A) + P(¬A) = 1
⇒P(¬A) = 1 - P(A)
= 1 - 0.55
= 0.45
⇒P(¬A) = 0.45
And
P(B) + P(¬B) = 1
⇒P(¬B) = 1 - P(B)
= 1 - 0.76
= 0.24
⇒P(¬B) = 0.24
So, we get
P(A) = 0.55 , P(B) = 0.76
P(¬A) = 0.45, P(¬B) = 0.24
a.)
P(duel end in round 1 ) = P( both hit on green or only one hit on green )
= P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]
= 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]
= 0.418 + [ 0.132 + 0.342 ]
= 0.418 + [ 0.474 ]
= 0.892
⇒P(duel end in round 1 ) = 0.892
b.)
P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )
= [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ] }
= [ 0.45(0.24) ] × [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }
= [ 0.108 ] × [0.108] × { 0.418 + [ 0.132 + 0.342 ] }
= 0.011664 × 0.892
= 0.010404 ≈ 0.010
⇒P(duel ends in the 3rd round) = 0.010
c.)
P(duel ends in a draw) = P(both students' shots land on the green)
= P(A).P(B)
= 0.55(0.76)
= 0.418
⇒P(duel ends in a draw) = 0.418
Show work
4.87 x 7.23
Answer:
Step-by-step explanation:
Here are your workings
4.87 x 7.23 simplify
Step 2
(4.87)(7.23) Add brackets(Optional)
Then you multiply the two exponents to get 35.2101
Your answer would be 35.2101
Mr.Fuller wants to put fencing around his rectuangular-shaped yard. The width of the yard is 55 feet and the length is 75 feet. How many feet of fencing does Mr.fuller need
Answer: 22% fencing
Step-by-step explanation:
Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
To find the perimeter of the rectangular yard, we need to add up the lengths of all four sides.
The two sides that are 55 feet long are the width of the yard, and the two sides that are 75 feet long are the length of the yard.
So, the perimeter of the yard is:
Perimeter = 2 × (length + width)
Perimeter = 2 × (75 feet + 55 feet)
Perimeter = 2 × 130 feet
Perimeter = 260 feet
Therefore, Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
Learn more about perimeter here:
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If R is the midpoint of PS with PR=6x+16 and RS=-26 then find PS
Answer:
PS = 116
Step-by-step explanation:
Given:
PR = 6x + 16
RS = 12x - 26
Required:
Find PS
Solution:
Since R is the midpoint of PS, therefore,
PR = RS
6x + 16 = 12x - 26
Collect like terms
6x - 12x = -16 - 26
-6x = -42
Divide both sides by -6
x = -42/-6
x = 7
✔️PS = PR + RS (segment addition postulate)
PS = 6x + 16 + 12x - 26
Plug in the value of x
PS = 6(7) + 16 + 12(7) - 26
PS = 42 + 16 + 84 - 26
PS = 116
Which of the following is a rational number?
square root of 79, square root of 80, square root of 81, square root of 82
Answer:
square root of 81.
Step-by-step explanation:
5 friends share two bags of Trail Mix equally what fraction of a bag of Trail Mix does each friend get
Answer:
5/2
Step-by-step explanation:
5 divided by 2 is 2.5 and then 2.5 as a fraction is 5/2
Answer:
0.4 or 2/5
Step-by-step explanation:
I divided 2 by 5 because 2 bags were being split by 5 friends and got 2/5 which is also 0.4.
(hope this helps :P)
Help me please with this
Grace took one of her friends out to lunch. The lunches cost $100 and she paid 9% sales tax. If Grace left a 15% tip on the $100, how much in total did she pay?
Answer:
124
Step-by-step explanation:
100 x .09=9
100 x ,15=15
9 + 15=24
100+24=124
At the City Zoo, of the zoo is set aside for the monkeys. There are 4 different monkeys, each
with an equal-sized area. What fraction of the zoo is set aside for one monkey area?
Can someone plz answer me...
A.1/4
B.4/15
C.1/13
D.1/36
i think part of this question is missing between “at the city zoo” and “of the zoo.”
but i think the answer could be a.
because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.
please help PLEASE help
Answer:
Your answer would be 4
Step-by-step explanation:
Convert the 4 3/4 into a decimal, 4.75.
First, you must multiply 5 and -3.5 together. Then you add everything on top together.
Divide the fraction
Answer:
F. 4
Explanation:
(5(-3.5)+4(3/4)-3.25) / -4 = 4
find b and round to the nearest tenth... (geometry) plz help fast i’m behind
Answer:
5.51 cm
Step-by-step explanation:
50 points! I only want mhanifa to help me so no one else answer unless you actually know how to do it
Answer:
Bbc
Step-by-step explanation:
The advantage of crop rotation was which of the following?
What does a discriminant value of -8
tell you about the solution of a
quadratic equation?
Answer:
Yayaya
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf No \ real \ roots/ solutions }}[/tex]
Step-by-step explanation:
The value of the discriminant (b²-4ac) can tell us 3 things:
Positive value: 2 real roots Equal to 0: 1 real root Negative value: No real roots, but imaginary roots can exist.The quadratic equation given has a discriminant of -8. This value is negative, so we know that the quadratic has no real solutions.
Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
1
:
4
1:41, colon, 4
(Choice B)
B
4
:
10
4:104, colon, 10
(Choice C)
C
24
:
60
24:6024, colon, 60
(Choice D)
D
2
:
5
2:52, colon, 5
(Choice E)
E
10
:
24
10:24
Answer:
Its b,c,d
Step-by-step explanation:
PLEASE ANSWER FAST I HAVE 30MINS!!!!!! Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
2
Step-by-step explanation:
abshxhdbxbjsbxbsbxnd
What is 2 1/3 divided by 1/2?
Also, I have the answer but is it 7/6 or 4 2/3?
Answer:
4 2/3
Step-by-step explanation:
hope this helps you in any way
Pls help I need a good grade
Answer:
f= -14
Step-by-step explanation:
Answer:
f= -14
Step-by-step explanation:
If a1 = 4 and an = -3an-1 then find the value of a4.
Answer:
[tex]a_4 = -108[/tex]
Step-by-step explanation:
Given
[tex]a_n = -3a_{n-1}[/tex]
[tex]a_1 = 4[/tex]
Required
Find [tex]a_4[/tex]
[tex]a_4 = -3a_{4-1}[/tex]
[tex]a_4 = -3a_3[/tex]
We calculate for a3
[tex]a_3 = -3a_{3-1}[/tex]
[tex]a_3 = -3a_2[/tex]
Calculate for a2
[tex]a_2 = -3a_{2-1[/tex]
[tex]a_2 = -3a_1[/tex]
Substitute 4 for a1
[tex]a_2 = -3*4[/tex]
[tex]a_2 = -12[/tex]
Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]
[tex]a_3 = -3 * -12[/tex]
[tex]a_3 = 36[/tex]
Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]
[tex]a_4 = -3*36[/tex]
[tex]a_4 = -108[/tex]