Answer:
f(x)=(x+5)(x-2)
g(x)=(2x+1)(x-2).
x=10x+2
x=3x-2
x=12×+1
x=13
A function is defined as a relation between a set of inputs having one output each.
The point of intersection between the function f(x) and g(x) is x = 4.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
= 18
Thus the point of intersection between the function f(x) and g(x) is x = 4.
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Three pairs of shoes and two pairs of socks cost $123, while three pairs of socks and two pairs of shoes cost $89.50. What does one pair of socks cost?
Answer:
$2 I think not sure if not sorry
What is the slope of the line?
A. 0
B. 1
C. 5
D. Undefined
Answer:
D undefined
Step-by-step explanation:
HELP!! Multiply and simplify and express as a mixed number
12 x 3/8
no links or files
Answer: 4 and 1/2
Step-by-step explanation: Ok so 12 is a whole number so to turn it into a fraction put it over one as in 12/1.
Then just multiply 12/1 x 3/8 which equals 36/8 But we aren't done!
now we must calculate how many times 8 goes into 36 without going over 36 which is 4. 8 times 4 is 32 so we have 4 leftover. Now writing this as a fraction is 4 4/8. 4 is the whole number and that 4 represents 8 going tinto 36 4 times like we just demonstrated. since 36-32 is 4 thats how you get a 4/8 as your fraction.
Then you just simplify your fraction and 4 4/8 turns into just 4 1/2.
I really hope I explained this well and you understand it! :)
Evaluate the following expression: 082
A deer weighs 13 killograms and a boa constrictor weighs 17 killograms. About How many grams heavier is the boa constrictor than the deer
Answer:
4 kilogram
Step-by-step explanation:
A deer weighs 13 kilogram
A boa constrictor weighs 17 kilogram
The weight in grans in whichj the boa constrictor is heavier than the boa can be calculated as follows
= 17-13
= 4 kilograms
Hence the boa constrictor is heavier than the boa by 4 kilogram
The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
width. What is the width of the pasture?
Answer:
W = 7
Step-by-step explanation:
2 Question 9
Help I’ll give Brainly est
Answer:
it c
Step-by-step explanation:
Ronique recorded the number of games that the school softball team won each year for the past 7 years: 31, 24, 32, 22, 34, 28, 38. Ronique's team won at least (blank)
games in 75% of the seasons that they played.
Answer:
Ronique's team won at least 24 games in 75% of the season that they played.
Step-by-step explanation:
(The box-whisker plot below will show everything, but I'll explain it in detail because I want to be more helpful)
So... we have seven data points.
2014 - 15 (Year 1): 31 wins
2015 - 16 (Year 2): 24 wins
2016 - 17 (Year 3): 32 wins
2017 - 18 (Year 4): 22 wins
2018 - 19 (Year 5): 34 wins
2019 - 20 (Year 6): 28 wins
2020 - 21 (Year 7): 38 wins
We need a box & whisker plot for this.
22 will go on the left whisker, since it's the lowest of the data points. 38 will go on the right whisker, since it's the highest.
For the two quartiles, 24 is the first quartile, so from that point to the right whisker, that's 75% of the data. The third quartile will be 34. And the midline will be at 31, since it's the median of the data points.
From that explanation, we can be sure that Ronique's team won at least 24 games in 75% of the seasons that they played.
Can someone please help me I really need this one and it’s my last one please
A table is on sale for 33% off. The sale price is $603.
What is the regular price?
Help please
Answer:900
Step-by-step explanation:
603*100/(1-33)
900
If you answer this question I will give your brainliest and thanks please help if you can! thanks
Answer:
a. first box: 75%
second box: 21
b. 7 (u have already wrote)
c. 21+7=28
8 cm x 10 cm x 17 cm
This figure consists of a rectangle and a quarter circle
What is the perimeter of this figure?
Use 3.14 for pi.
Answer: 2length plus 2breath circle is 2pie r
Step-by-step explanation:
perimeter of a rectangle is 2L + 2 B a
If the area of a rectangular pool is represented by (12x×x)-17x-5, the length could be represented by ... A.(3x+1) B.(3x+5) C.(4x-5) D.(4x+1)
Answer:
D.(4x+1)
Step-by-step explanation:
The area of the rectangular pool is given by
Area = length * breadth
Area = (12x×x)-17x-5
A= 12x²- 17x- 5
Factorising the quadratic equation by mid term break rule.
A= 12x²- 20x + 3x- 5
( when we multiply 12 and -5 we get -60 . We need two numbers which when added give -17 and when multiplied give -60. The two numbers would be -20 and +3. The minus has to be with the bigger number as we need - 17.)
A = 4x( 3x- 5) + 1( 3x-5)
(taking commons will evaluate it further.)
A= (3x-5) (4x+1)
so the length could either be 3x-5 or 4x+1
From the given options we have
4x+1 as the length because the rest do not match the factors obtained.
If the signal had four circular lights, each having the same diameter, what would the total area of all four lights be?
Answer:
The answer is "[tex]153.86 \ in^2[/tex]"
Step-by-step explanation:
The circular light which fits around rather than is sufficiently large for fire a camera is indeed a ring light. The ring light provides light with very little darkness, as the bright light is very close to a lens's vertical system. It's also usually called glamour or brightness of beauty.
Let's Each light surface area has [tex]38.465\ in^2[/tex].
Therefore, the total area of four lights is [tex]38.465 \times 4= 153.86\ in^2[/tex].
Juan is going to invest $1,700 and leave it in an account for 14 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Juan to end up with $3,700?
Answer:
5.6 percent
Step-by-step explanation:
because
393/9 with remainder
Answer:
43 remainder of 6.
Step-by-step explanation:
The product of 0.008 and 10,000,000 is 80,000 because the decimal point in 0.008 moves (how many?) places to the right. A 5. B 6. C 7. D 8.
Find the area of the kite
Answer: I think 46
Step-by-step explanation:
Given tan θ = 7/24, and θ terminates in Quadrant III, determine the value of cos θ.
Answer:
-24/25
Step-by-step explanation:
Because it is in quadrant 3, cosine is negative. Hypotenuse=25, Adj=-24, Opp, -7. Cos=Adj/Hyp. -24/25
It is Given that tan θ = 7/24, and θ terminates in Quadrant III, Thus the value of cos θ is -24/25.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given tan θ = 7/24, and θ terminates in Quadrant III,
we want to determine the value of cos θ.
Because it is in quadrant 3, cosine is negative.
Hypotenuse = 25, Adjcent = -24, Opposite = -7.
Cos θ = Adjcent /Hypotenuse .
= -24/25
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Please help me!!!!! This one of my last questions.
Answer:
A = 21.2
Step-by-step explanation:
Assuming that the triangle is equilateral, the area would be approximately 21.2 feet.
An article is bought for Rs 100 and sold for Rs 125. What
is the profit percentage?
(Ans: 25%
Answer:
25%
Step-by-step explanation:
125 - 100 = 25
25 / 100 = 0.25
0.25 * 100 = 25%
For the figure below find BC to the nearest whole number CD=15
Answer:
BC = 3
Step-by-step explanation:
The length of the side BC is 3 units.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The right triangle is shown in the figure.
Let the distance BC be x and
The side AB be y.
According to trigonometric ratios,
[tex]tan \theta=\frac{opposite}{adjacent}[/tex]
Consider Δ ABD,
⇒ [tex]tan (20) = \frac{y}{x+15}[/tex]
⇒ [tex]0.3639=\frac{y}{x+15}[/tex]
⇒ [tex]y=0.3639(x+15)[/tex] -------- (1)
Now consider Δ ABC,
⇒ [tex]tan(65)=\frac{y}{x}[/tex]
⇒ [tex]2.144=\frac{y}{x}[/tex]
⇒ [tex]y=2.144x[/tex] --------- (2)
From equation 1 and 2,
⇒ [tex]2.144x=0.3639(x+15)[/tex]
⇒ [tex]2.144x=0.3639x+5.4585[/tex]
⇒ [tex]1.7801x=5.4585[/tex]
⇒ [tex]x=\frac{5.4585}{1.7801}[/tex]
⇒ [tex]x=3.06[/tex] ≈ [tex]3[/tex]
Hence we can conclude that the length of the side BC is 3 units.
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A triangle has a slant of 8yd, a height of 6.5yd, and a base of 4yd. What is its area?
A. 6.5yd^2
B. 13yd^2
C. 26yd^2
D. 52yd^2
Answer:
B I thank
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
→ Write triangle formula
Area = (Base × Height) ÷ 2
→ Substitute in numbers
Area = (4 × 6.5) ÷ 2
→ Simplify
Area = 13 yd²
On considère l'énoncé suivant :150 garçons et 250 filles sont inscrits au conservatoire. 20 % des garçons et 30 % des filles sont pianistes.
Question complète:
150 garçons et 250 filles sont inscrits au conservatoire. 20% des garçons et 30% des filles sont pianistes. Calculer le pourcentage de pianistes au conservatoire
Répondre:
26,25%
Explication étape par étape:
Nombre de garçons = 150
Nombre de filles = 250
Pianiste masculin = 20% des garçons
Pianiste masculin = 0,2 * 150 = 30 garçons
Pianiste féminine: = 30% des filles
Pianiste féminine = 0,3 * 250 = 75 filles
Nombre total de pianistes:
(30 + 75) = 105 pianiste
Population du conservatoire = (150 + 250) = 400
Pourcentage de pianiste:
105/400 * 100%
0,2625 * 100%
26,25%
Lorane saw a sweater she wanted to buy
on sale for 25% off. The store charges a
4.8% sales tax. If the sweater normally
costs $65.00, how much money did Lorane
pay for the sweater, including tax?
GIVING BRAINLIEST!!!!!
Which expression represents the following statement? Subtract 5 from 7 times the sum of 4 and 2. (4 points)
Group of answer choices
7 x (4 ÷ 2) + 5
7 + 4 + (2 ÷ 5)
7 ÷ 4 − (2 + 5)
7 x (4 + 2) − 5
Answer:
The answer is D.
What is x(3-2)(2-5)=3
Answer: 1
x(3−2)(2−5)=3
Step 1: Simplify both sides of the equation.
−3x=3
Step 2: Divide both sides by -3.
x=1
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
please help pt2 :]
pleas help ive been in this exam for 4 hours
An expression is shown below:
10n3 − 15n2 + 20xn2 − 30xn
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
the
Step-by-step explanation:
the comen factor are 10-15+20-30
and Factor the entire expression completely.
are n and 2
NEED ASAP PLEASE HURRY
What is the length of segment AC?
Answer:
8 units
Step-by-step explanation:
Step-by-step explanation:
[tex]C = ( - 6,5) \: and \:A = (3, - 1) \\ length \: AC = \sqrt{ {(x _{2} - x _{1}) }^{2} + {(y _{2} - y _{1})}^{2} } \\ AC = \sqrt{ {(3 - ( - 6))}^{2} + {( - 1 - 6)}^{2} } \\ AC = \sqrt{(81 + 49)} \\ AC = \sqrt{130} \\ AC = 11.4[/tex]