Answers
Answer:
f(x) = (x + 4)^2 - 5
Step-by-step explanation:
Parent function: f(x) = x^2
To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0
Vertex form: f(x) = a(x - h)^2 + k
We know a = 1, because the slope is the same as the parent function.
Vertex: (h,k)
We can see that the vertex of the graph is (-4, -5)
So h = -4 and k = -5
Now all we need to do is plug the variables into our equation.
f(x) = a(x - h)^2 + k
f(x) = 1(x + 4)^2 - 5
f(x) = (x + 4)^2 - 5
Related Questions
what is 0.000 008 54 in scientific notation please explain perfectly lollll
Answers
Answer:
0.000 008 54 = 8.54 x [tex]10^{-6}[/tex]
Step-by-step explanation:
here is the deal / the rules for scientific notation
1) the number in front of the [tex]10^{x}[/tex] has to be [tex]\geq[/tex] 1 and < 9
that rule is VERY IMPORTANT... [tex]\geq[/tex] 1 and < 9
2) if you move a decimal point to the left the exponent goes up by one
3) if you move the decimal to the right it goes down by one
examples:
314,000,000,000
starting from the right we move the decimal "11" positions to get to
3.14 (notice that I can not stop at 31.4 because that is greater than 10)
so the answer would be 3.14 x [tex]10^{11}[/tex]
your question 0.000 008 54 has to move the decimal SIX positions to
the the right (-6) ... 8.54 x [tex]10^{-6}[/tex]
does anyone know the answer to this question?
Answers
Answer:
(1,2)
Step-by-step explanation:
1. plug x into the equation:
[tex]2<\frac{2}{3}(1)+2[/tex]
2. simplify:
[tex]2<\frac{2}{3}+2[/tex]
[tex]2<\frac{2}{3}+\frac{6}{3}[/tex]
[tex]2<\frac{8}{3}[/tex]
since 8/3 is greather than 2, (1,2) is a solution
Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)
Answers
=9+16-37-(-20)
=25-37-(-20)
=-12-(-20)
=8
(therefore ur answer would be 8)
Answer:
12- 3+16 - 37 -( 20)
=8
Step-by-step explanation:
Two negatives are a positive , this really helps
Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *
6
20
7
28
Answers
[tex]a = 28.[/tex]
Step-by-step explanation:
[tex] {a}n = a + (n - 1)d[/tex]
[tex]4 = a + (7 - 1)( - 4)[/tex]
[tex]4 = a + 6( - 4)[/tex]
[tex]4 = a + ( - 24)[/tex]
[tex]4 = a - 24[/tex]
[tex]4 + 24 = a[/tex]
[tex]28 = a[/tex]
(OR)
[tex]a = 28.[/tex]
A triangle is rotated 90 about the origin. Which rule describes the transformation?
Answers
Answer:
1st option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- x, - y )
Answer:
your answer will be the first option
Step-by-step explanation:
edge 2021
From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building?
Answers
Answer:
188 m
Step-by-step explanation:
[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]
Answer:
I think that the other answer is WRONG
tan(12) = [tex]\frac{x}{40}[/tex]
x = tan(12)*40 = 8.5
Step-by-step explanation:
[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5
Ascending order
a) 3/5,3/10,2/15
Ans:- ????
Answers
Answer:
2/15, 3/30, 3/5 :)
Step-by-step explanation:
2/15 is .13~, 3)10 is .3, and 3/5 is .6, therefore 2/15 is the lowest number and 3/5 is the highest.
Answer:
[tex] \frac{2}{15} , \frac{3}{10} , \frac{3}{5} [/tex]Step-by-step explanation:
Ascending order :- Ascending order means to arrange them from smallest to largest.
Hope it is helpful....Why did U.S. leaders decide to create the Federal Reserve?
A. Economic panics showed that the banking system was not stable.
B. The United States needed to have a single type of currency.
C. Small banks requested additional government oversight.
D. State banks needed the power to create their own currencies.
Answers
Answer:
A
Step-by-step explanation:
A central bank was needed to oversee monetary policy
Answer:A
Step-by-step explanation:
I did the test
4 Two number cubes are rolled. The faces have the numbers 1-6 on them. The number that shows on top is recorded. What is the probability that
the same number shows on both number cubes?
OF
OS
Answers
A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle
Answers
W = x
L = 5x
x + 5x = 72
6x = 72
x = 12 feet = W
5(12) = 60 feet = L
12 + 60 = 72 feet.
: Cleomenius
Tip: brainliest plz:))
____________ was designed to tabulate the 1890 census and used cards with designated areas representing data fields.
Answers
Answer:
Hollerith tabulating machine
Step-by-step explanation:
The Hollerith tabulating machine was invented by Herman Hollerith in other to assist in the data processing of the United States 1890 election. This machine was used to read and summarize the information stored on punchcards. This machine paved the way for the development of enhanced models which were employed for accounting and some other aspects related to business management.
What is the system of equations shown in the graph
Answers
If you look at the graph the slopes and y intercepts match up
Answer:
D)
y = - x + 1
y = -1/4 +2
Step-by-step explanation:
The equation of a linear graph: y = mx + b
The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.
The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2). So the equation would be y = - 1/4x + 2.
calculate the exact value of 1 1/3- 3 5/6+ 5 1/9
Answers
[tex]\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }[/tex]
Determine the length of AC.
16.7 units
18.9 units
3.4 units
19.4 units
Answers
Answer:
16.7 units
Step-by-step explanation:
To get AC, we can use the sine rule here
BC/sine 86 = AC/sin 68
18/sine 86 = AC/sine 68
AC = (18 * sine 68)/sine 86
AC =16.73 units
Which of the following statements is true for the figures shown
Answers
Answer:
no question pls give and I can think
Given: ABCD is a parallelogram.
Prove: ∠A and ∠D are supplementary.
Parallelogram A B C D is shown.
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answers
Answer:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
✔ same-side interior
angles. Because AB and DC are
✔ parallel
, the same-side interior angles must be
✔ supplementary
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Step-by-step explanation:
Answer:
The answer above is correct!
The correct options are:
First box: option D. same-side interior
Second box: option C. parallel
Third box: option D. supplementary
Step-by-step explanation:
Hope this helped - just got it right on edge!
Brainliest would be greatly appreciated :)
Determine if the expression – 2 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomial.
Answers
Answer:
strictly speaking ... poly means MANY
3x+ 4 is a binomial (bi = 2 parts)
with only one part it can not be described as a "POLY-nomial"
Step-by-step explanation:
What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24
Answers
Answer:
21x^7y^11.
Step-by-step explanation:
:D
hello can you help me with this?
Answers
Answer:
x = 25.5
Step-by-step explanation:
suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees
2x + x + x 78 = 180 add like terms then subtract 78 from both sides
4x = 102 divide both sides by 4
x = 25.5
What is the area of the obtuse triangle given below?
Answers
Answer:
D. 38.5 sq. units
Step-by-step explanation:
The formula for the area of a triangle is A=bh(1/2)
So to solve, first multiply the base, by the height: 11*7=77
Then, multiply by 1/2 or divide by 2.
You get 38.5
That's your answer!
Hope this helps!
If f(n) = 4n + 7 and g(n) = 2n + 3, find (g - f)(n).
2(n-4)
4- 2n
-2n - 4
2n + 4
Answers
Step-by-step explanation:
=(g-f)(n)
=4n+7-2n-3
=2n+4
Find the value of the following
Answers
Answer:
110.01 (aprox)
Step-by-step explanation:
x + (1/x) = 5
x(x + (1/x)) = x(5)
x*x + x*1/x = 5x
x² + 1 = 5x
x² - 5x + 1 = 0
x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)
x = {5±√(25-4)} / 2
x = {5±√21} / 2
x = {5±4.5826} / 2
x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087
x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913
Comprobación:
x₁
0.2087 + 1/0.2087 = 5
0.2087 + 4.7913 = 5
x₂
4.7913 + 1/4.7913 = 5
4.7913 + 0.2087 = 5
Respuesta:
x₁
(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019
x₂
(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01
Which phase best describes the transition from the graph y=2x^2 to the graph of y2x^2+5?
A. 5 units up
B. 5 units down
C. 5 units right
D. 5 units left?
Answers
Answer:
Anything after x determines if it goes up since it's a positive 5 it's 5 units up
A plane gets an average of 25 miles per gallon when it is traveling 500 miles per hour. The plane has 15,000 gallons of gas at the beginning of a trip and travels at an average speed of 500 miles per hour. Which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?
(A) f = 15000 + (25t/500)
(B) f = 15000 - (25t/500)
(C) f = 15000 - (500t/25)
(D) f = 15000 - 25t
(E) f = 25t
Answers
Answer:
D; f = 15,000 - 25t
Step-by-step explanation:
From the question;
per gallon, the number of miles traveled is 25, given traveling speed is 500 miles per hour
So after t hours, if traveling at 500 miles per hour, the amount of fuel expended will be 25 * t = 25t gallons
So, to get the amount remaining, we subtract 25t from what we have at the start of the trip
Mathematically, we have this as;
f = 15,000 - 25t
What is the equation of the following line?
Answers
Answer:
c. y = -4x
Step-by-step explanation:
use slope formula
a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?
Answers
Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
Find the measure of the indicated angle
Answers
Answer:
76°
Step-by-step explanation:
180-(2*52)
= 180-104
= 76
Answered by GAUTHMATH
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation
Answers
Hello,
Answer D
-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k
(-2,18) is a point of the curve:
18=k*(-2)²-8k-32k
-36k=18
k= - 1/2
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
What is the value if X?
A) 16
B) 30
C) 8
D) 15
A step by step analysis would be greatly appreciated but a simple answer will do as well.
Answers
Answer:
[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]
Q. What do you mean by circumference ?
Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.
Q. What do you mean by chord ?
Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.
[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]
Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ
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Someone help me please
Answers
Answer:
(x + 10)(2x + 5)
Step-by-step explanation:
Given
2x² + 25x + 50
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 2 × 50 = 100 and b = 25
The factors are + 20 and + 5
Use these factors to split the x- term
2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )
= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term
= (x + 10)(2x + 5)