Answer:
The equation g(x) = 2(x+4)² +3
(h,k) = (-4,3) and a = 2
Step-by-step explanation:
Step(i):-
Given equation g(x) = 2 x² + 16 x +35
g(x) = 2(x² +8 x ) +35
g(x) = 2(x² +2(4) (x ) +(4)² -(4)²)+35
we know that (a+b)² = a²+2ab+b²
Step(ii):-
g(x) = 2( x+4)² - 2(16) +35
⇒ g(x) = 2(x+4)² - 32 +35
⇒ g(x) = 2(x+4)² +3
comparing g(x) = a (x-h)² +k
(h,k) = (-4,3) and a = 2
Final answer:-
The equation g(x) = 2(x+4)² +3
(h,k) = (-4,3) and a = 2
cos ( 3 x )
sin ( 3 x )
tan ( 3 x )
The three inside angles (A, B and C) of a right angled triangle are in the ratio 7:18:11
The smallest angle is 35°
Work out out angles a,b and ,
Answer:
Angle A =35 degrees, Angle B = 90 degrees, and Angle C = 55 degrees
Step-by-step explanation:
So all the angles added up would be 180. Let's use the variable x. The angles would be 7x, 18x, and 11x.
The smallest angle is 35, and 7x is the smallest out of all them since x has to be positive.
7x = 35
x = 5
Then substitute x into each angle.
They would be 35 degrees, 90 degrees, and 55 degrees
PLEASE HELP! DUE TODAY
Answer:
not enough info
Step-by-step explanation:
give branliest plss
What is the equation of a line parallel to the y axis?
Answer:
If any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a.
Step-by-step explanation:
Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.
Please help its due today.
Show that the conjecture is false by finding a counter example.
If the quotient of two numbers is positive then the two numbers must be
positive.
Answer:
Counter example: (-2) x (-3) = 6
Step-by-step explanation:
The sum of any two prime numbers is always even. -2 and -3 are each negative numbers, yet their product is 6, a positive number.
ABCDE~GHJDF Complete statement
Answer:
FE
Step-by-step explanation:
i hope you help this answer
For the two similar figures, the expression can be written as:
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
What is the similarity?In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.
For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.
The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:
ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
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Help now plsssssssssss!!!
b7 is the answer if ur estimating
Ed has already jarred 19 liters of jam and will jar an additional 3 liters of jam every day.
How much jam did Ed jar if he spent 2 days making jam?
Answer: 25 liters of jam
Step-by-step explanation:
2*3=6
6+19=25
If g(x) = 6x - 36, which statement is true?
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
Answer:
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
(A) I think
Step-by-step explanation:
5 · (4 · x) = ? help
Frances owns a landscaping business. She has 425 plants and is placing an equal number of plant into 47 yards. After planting, how many plants will she have left to take home and plant in her own yard?
A)0 plants B)1 plant C)2 plants D)3 plants
9514 1404 393
Answer:
C) 2 plants
Step-by-step explanation:
425 = 47×9 + 2
Frances will be planting 9 plants in each yard, and will have 2 plants left to plant at home.
Answer:
dvgevgdvgvdvidid
Frances owns a landscaping business. She has 425 plants and is placing an equal number of plants into 47 yards. After planting, how many plants will she have left to take home and plant in her own yard?
A. 0 plants
B. 1 plant
C. 2 plants
D. 3 plantsid
Step-by-step explanation:
Frances owns a landscaping business. She has 425 plants and is placing an equal number of plants into 47 yards. After planting, how many plants will she have left to take home and plant in her own yard?
A. 0 plants
B. 1 plant
C. 2 plants
D. 3 plants
Brainlest and points need help !!
Answer:
it is C.
Step-by-step explanation:
8 people take up one table and 104/13=8
Answer:
[tex]\huge\boxed{\sf Option \ 3}[/tex]
Step-by-step explanation:
p = 8t
Where p is the no. of people and t is the no. of tables.
[tex]\rule[225]{225}{2}[/tex]
So, If t = 22, then:
p = 8 (22)
p = 176 (Makes the first option incorrect)
[tex]\rule[225]{225}{2}[/tex]
If t = 8 , then:
p = 8 (8)
p = 64 (Makes the second option incorrect)
[tex]\rule[225]{225}{2}[/tex]
If t = 13, then:
p = 8 (13)
p = 104 (This makes the third option correct)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807a book is 5 cm thick and has a cover that is 1.5 mm thick calculate the height of the 12 books in centimetres
Which ratio is the odd one out 4:20. 3:15 8:39 1:5 10:50
Answer:
8:39
Step-by-step explanation:
because when simplified, all the rest are 1:5
PLEASE ANSER ASASP!!!!!!!!!!!!!!!1
Determine whether each equation represents a proportional relationship
1) y = 2x + 4
2) y = 2x
Answer:
(1) does not represent a proportional relationship, but (2) does.
Step-by-step explanation:
(1) y = 2x + 4 has a nonzero y-intercept, so it is not a proportional relationship.
(2) y=2x is a proportional relationship. It is of the form y=kx, where k is the constant of proportionality.
Equations & Graphs
Match each graph with the correct equation from the equation bank. (Not all equations will be used) (plz help)
Answer:
Answer to5)y=3
Answer to q9)x=3
5. y = 3.
6. y = (2/3)x.
7. y = x - 1.
8. y = x + 3.
9. x = 3.
10. y = - 3x.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
5. The graph of this function is constant for all values of x, y = 3.
6. The graph of this function has points (0, 3) and (3, 2).
m = (2 - 0)/(3 - 0).
m = 2/3.
2 = (2/3)×3 + b.
2 = 2 + b.
b = 0.
y = (2/3)x.
7. The graph of this function has points (0, 1) and (3, 2).
m = (2 - 0)/(3 - 1).
m = 2/2.
m = 1.
2 = 1(3) + b.
2 = 3 + b.
b = -1.
y = x - 1.
8. The graph of this function has points (- 3, 0) and (0, 3).
m = (3 - 0)/(0 + 3).
m = 1.
3 = 1(0) + b.
b = 3.
y = x + 3.
9. The graph of this function is a vertical line parallel to the y-axis,
x = 3.
10. The graph of this function has points (0, 0) and (- 1, 3).
m = (3 - 0)/(- 1 - 0).
m = 3/ - 1.
m = - 3.
0 = - 3(0) + b.
b = 0.
y = - 3x.
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62 + j = 74; j = 12
Is this true or not
Answer:
yes
Step-by-step explanation:
If you take 74 the subtract 62 you get 12
there for 12+62=74
Which situation relates to the graph?
A)
An airplane has 1 gallon of gas remaining, and 1 gallon of gas is used for
each additional 10 miles flown.
B)
An airplane has 1 gallon of gas remaining, and 10 gallons of gas is used for
each additional 1 mile flown.
An airplane has 10 gallons of gas remaining, and 10 gallon of gas is used
for each additional 1 mile flown.
D)
An airplane has 10 gallons of gas remaining, and 1 gallon of gas is used for
each additional 10 miles flown.
Answer:
the answer is d
Step-by-step explanation:
[tex] \frac{5}{10} = \frac{10}{5 + x} [/tex]
how would you solve this?
Hello!
[tex]\large\boxed{x = 15}[/tex]
[tex]\frac{5}{10}= \frac{10}{5+x}[/tex]
Solve for x by cross multiplying:
[tex]5*(5 + x) = 10 * 10[/tex]
Distribute:
[tex]25 + 5x = 100[/tex]
Subtract 25 from both sides:
[tex]5x = 75[/tex]
Divide both sides by 5 to entirely isolate for x:
[tex]5x/5 = 75/5\\\\x = 15[/tex]
- 3/8 + 3/4 + -1/4 = ?
Evaluate the expression as a fraction.
Rewrite all the fractions to have the same denominator:
3/4 = 6/8
-1/4 = -2/8
Now you have -3/8 + 6/8 + -2/8
-3/8 + 6/8 = 3/8
3/8 + -2/8 = 3/8 - 2/8 = 1/8
The answer is 1/8
Determine if each statement about the relation {(3,7),(5,1),(6,4),(2,5)} is true or false.
a. The domain of the relationship is {2,3,5,6}.
b. The range of the relation is {1,4,5,7}.
c. The value 5 is a member of both the domain and range.
Answer:
a. true
b. true
c. True
Step-by-step explanation:
a. The domain of a relation includes all possible set of data that are the x-values. Therefore, the domain of the relationship given would be: {2, 3, 5, 6}.
a is True.
b. The range includes all corresponding y-values. Therefore,
Range would be {1 4, 5, 7}
b is Tire.
c. There's 5 on both range and domain.
c is hungry.
Twice of
x is 10 more than y
Answer:
Twice of x is 10 more than y[tex] \huge \boxed{2x = y + 10}[/tex]
what was the original price of a jacket that sells for $45 after a 10% discount.
Answer:
$450
Step-by-step explanation:
So let's make this into an equation:
10% × x = $45
10% is equal to 10/100, so it will be:
10/100x = 45
So:
45÷10/100=45/0.1=450
The original price was $450
Hope this helps :))
What is the ratio for Cosine?
Answer:
In a right triangle, the cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. Figure 20.7 A right triangle with tangent ratio 9/14. sin ∠A = 9√277/277 and cos ∠A = 14√277/277.
What number line represents -2.25 -0.75
Answer:
i dont know but hope this helps
Step-by-step explanation:
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.
Tomas found a bag of 100 AA batteries in a box in his garage. He placed one battery at a time into a flashlight that required one AA battery. After trying 20 batteries, Tomas found that only 3 of the batteries were good. Based on Tomas' attempts so far, how many of the batteries in the bag could he expect to be good?
Answer:15
Step-by-step explanation: so for every 20 batteries there are 3. 5 times 20 equals 100 so 5x3 equals 15 so that’s your answer hope it helps doesn’t sound uncomplicated but it’s right :D
Write 16.24 as a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
16/24 = 14/ 21 = 12/ 18 10/ 15 8/12 6/9 4/6 = 2/3
The simplest form of the number 16.24 in fraction would be 406/25.
Used the concept of fraction which states that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
The number is 16.24.
Now, it can be written as,
[tex]16.24 = \dfrac{16.24 \times 100}{100}[/tex]
[tex]= \dfrac{1624}{100}[/tex]
Therefore, the simplest form is,
[tex]= \dfrac{406}{25}[/tex]
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.
Half of x is 5 less then thrice of y.
Answer:
Half of x is 5 less than thrice of y.[tex] \huge \boxed{ \frac{1}{2} x = 3y - 5}[/tex]
Erik works 55 hours a week making $12.50 hour? His employer pays time and a half for hours over 40. Find his gross pay.
Answer:
781.25
Step-by-step explanation:
Regular pay = 40*12.50 = 500.00
Overtime = 15*12.5*1.5 = 281.25
Gross pay = 500.00 + 281.25 = 781.25
What are the solutions to the equation 3x^2-45x=0
Answer: 0 and 15
Step-by-step explanation:
you can factor the equation to get
3x(x-15)=0
3(0)((0)-15)=0 works
3(15)((15)-15)=0 works
If r= 1 and 0 = 5 pie/4, what is the approximate arc length?
A. 1.25 units
B. 4.189 units
C. 3.927 units
D. 3.665 units
9514 1404 393
Answer:
C. 3.927 units
Step-by-step explanation:
The arc length (s) is given by ...
s = r·θ
s = 1·5π/4 ≈ 3.92699
s ≈ 3.927 . . . units
The length of the given arc is 3.927 units, so the correct option is C.
How to get the arc length?
For an arc in a circle of radius R, defined by an angle θ, the length is:
L = θ*R
In this case, we have:
R = 1 unit.
θ= (5/4)pi
Where pi = 3.14159
Replacing that in the length equation we get:
L = (5/4)*3.14159*(1 unit) = 3.927 units.
So the correct option is C.
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