Answer:
a = [tex]\frac{1}{2}[/tex] , b = 5, and [tex]\frac{2b}{a}[/tex] = 20
Step-by-step explanation:
f(x) = - x² + b, x ≤ 0 You would use this equation for f(-2). Since -2 is less than 0.
f(x) = - x² + b, x ≤ 0 ← You can ignore the x ≤ 0 part.
f(-2) = - (-2)² + b Input the value -2 as x. The question states that f(-2) =1.
1 = - (-2)² + b So switch f(-2) with 1 on the left side only.
1 = - (4) + b Simplify. Do the exponents first, so (-2)² = 4.
1 = - 4 + b
+4 +4 Do inverse operations
5 = b
Next,
f(x) = 2ax +3, x > 0 You would use his equation for f(2). Since 2 is greater than 0.
f(x) = 2ax +3, x > 0 ← You can ignore the x > 0 part.
f(2) = 2a(2) + 3 Input the value 2 as x.
f(2) = 4a +3 Simplify. The equation states f(2) = 5. So switch f(2) with 5
5 = 4a +3 on the left side only.
-3 - 3 Do inverse operations
2 = 4a
[tex]\frac{2}{4}[/tex] = [tex]\frac{4a}{4}[/tex] Divide 4 on both sides to isolate the variable a
[tex]\frac{2}{4}[/tex] = a Simplify
[tex]\frac{1}{2}[/tex] = a
Then,
The second part says to find [tex]\frac{2b}{a}[/tex]
[tex]\frac{2b}{a}[/tex]
[tex]\frac{2(5)}{(\frac{1}{2}) }[/tex] Input both the values of a and b
[tex]\frac{10}{\frac{1}{2} }[/tex] Simplify
20.
The answer for a is [tex]\frac{1}{2}[/tex], the answer for b is 5, and the answer for [tex]\frac{2b}{a}[/tex] is 20.
BRAINLIEST + 10 POINTS
Answer:
area- 628
circumference- 62.8
simplify. please do it now i need help
Answer:
1/243 or 0.00411522…
the area of a square is 225cm². On the map drawn to scale 1 : 3 find the area of the square
Answer:
25 cm^2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Area if a square = length²
225 = length²
length = √225
length = 15
if the map is drawn to scale of 1 : 3
the length on the map = 15/3 = 5
area of the square 5 x 5 = 25
Jaya has 26 hockey cards. Jaya has 1 fewer than 3 times the number her brother, Kumar has. How many cards does Kumar have? Form an algebraic equation and solve this question.
Answer:
The correct answer to the problem is 9
Step-by-step explanation:
3 x- 1 = 26
3 x = 27
x = 9
Madison used 4 pears and 12 apples to make a fruit salad. What is the ratio of the
number of pears to the number of apples in the fruit salad? (Simplify your answer)
can someone PLEASE please help me?? i really need it!
Find j.
Write your answer in simplest radical form.
Answer:
10
Step-by-step explanation:
tan30°=P/B
tan30°=P/10√3
1/√3=P/10√3
1/√3×10√3=P
.:P=10
j = 10
Step-by-step explanation:
use the definition of tangent of an angle:
tan 60 = opp/hyp = (10√3)/j
Solving for j,
j = (10√3)/tan 60
But tan 60 = √3 so we can write j as
j = (10√3)/√3
= 10
Which of the following statements describe the path of the baseball? Select all that apply
Answer:
Did you find It because I need it so can you reply please
Step-by-step explanation:
I will mark you brainlist!
The scatterplot below represents the number of hot drinks sold on a given
day versus the low temperature of that day. Of the following lines, which
best fits the data in the scatterplot?
Answer:
A) y=-1/2x+55
Step-by-step explanation:
We can clearly see a negative trend/association between the number of hot drinks sold on a given day and the low temperature of that day. Therefore, the slope of the best line of fit must be negative, eliminating D and E. Also, notice that when the low temperature is 0°F, the number of hot drinks sold is about 55, which is a good indicator of our y-intercept or constant, eliminating choice C. Because the best line of fit is not so steep, the slope will be closer to 0 if it's a negative trend. This eliminates choice B, making the correct answer A.
The length of a rectangular map is 37,5 cm and the perimeter is 125 cm. Find the width
Let the length of the map be L Cm.
Hence, L = 37.5 Cm
Now, Let the width of the map be B.( Breadth )
Now, we know that perimeter of a rectangle
= 2 ( L + B )
According to the question–
125 = 2 ( L + B )
{ Putting the value of L we get }
Or, 125 = 2 ( 37.5 + B )
Or, 125/2 = 37.5 + B
Or, 62.5 = 37.5 + B
Or, 37.5 + B = 62.5
Or, B = 62.5 – 37.5
Or, B = 25 Cm
Therefore, the Width of the rectangle is 25 Cm.
y = x^2 - 4x + 4
Find the discriminant.
Determine the number
of real solutions.
Answer:
The discriminant is 0
There is 1 real solution
Step-by-step explanation:
Use the discriminant formula, D = b² - 4ac
In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.
Plug in these values into the formula:
D = b² - 4ac
D = (-4)² - 4(1)(4)
D = 16 - 4(4)
D = 16 - 16
D = 0
So, the discriminant is 0.
With a discriminant of zero, there is one real solution.
So, the number of real solutions is 1.
please answer to the best of your ability
Answer:
C:reflection accross the x axis
Step-by-step explanation:
Evaluate the piece wise function for the given values of x by matching the domain values to the range values.
Answer:
- 5 (x = 1)
Step-by-step explanation:
When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:
- 1 - 4
- 5
calculate the kinetic energy of a man of mass, 50kg moving with an average speed of 15m/s
Please help me quick please solve in inequality form
Answer:
D. The sum of twice number and six is no more than five.
Step-by-step explanation:
In the inequality,
[tex]2n+6\leq 5[/tex]
The number (n) is multiplied by (2), therefore options (A) and (B) can be ruled out since they have the statement, "twice the sum of a number and six". Moreover, one can see the inequality sign indicates that this value is less than or equal to (5). Thus, one of the possible solutions to this equation is (5), therefore, option (C) is incorrect. Therefore, the only remaining correction option is option (D).
Which summation formula represents the series below?
13 + 9 + 5 + 1
∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.
What is Series?A series is the cumulative sum of a given sequence of terms.
The given expression is 13 + 9 + 5 + 1
The terms of this series are 13,9,5,1
It is an AP. Here, first term is 13 and common ratio is -4.
The nth term of an AP is
aₙ=a+(n-1)d
=13+(n-1)(-4)
=13-4n+4
=17-4n
The summation formula of an Arithmetic progression is
∑aₙ
The value of n is 4 because the number of term is 4. So, the summation formula is
∑(17-4n)
Hence ∑(17-4n) is the summation formula represents the series
13 + 9 + 5 + 1.
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PLEASE HELO PRE CALC PEOPLE
Use these parametric equations to answer the question below.
x=t-2
y=t^2
The order pair associated with t-value of -1 is?
Answer:
The ordered pair associated with a t-value of -1 is (-3, 1).
Step-by-step explanation:
Substitute the t-value, or -1, into both of the equations to find the pairs.
x = t - 2
x = (-1) - 2
x = -3
y = t^2
y = (-1)^2
y = 1
The ordered pair associated with a t-value of -1 is (-3, 1).
A. What are the coordinates of the vertices of the triangle below?
B. Find each side length.
C. Classify the figure. Use coordinate geometry (i.e. Pythagorean Theorem, distance formula,
slope formula, etc.) and properties of triangles to justify your response.
Answer:
Solution given:
A.coordinate are
A(-2,3)
B(0,-3)
C(4,5)
B.Each length are :
we have
length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
now
AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units
AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
C. the figure:
By using Pythagoras law
base[b]=AB=perpendicular [p]=AC
hypotenuse [h]=BC
we have
h²=p²+b²
substituting value
([tex] 4\sqrt{5} [/tex])²=2p²
16*5=2*([tex] 2\sqrt{10} [/tex])²
80=2*4*10
80=80
SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.
PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM
Answer:
-3x is the answer
Step-by-step explanation:
Answer:
-3x
Hopefully this helps lol
(50 points) Write an equation for the sine waves.
Answer:
It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one
The Equation for a sine graph is ASin[B(x-C)] + D
A=Amplitude
B= 2π/period
C= c value at the starting point.
D= y value at starting point
Let your Starting point be at the sinusoidal axis (Max + Min)/2.
Looking at this graph
Let's take 1cm on the y axis to be 1unit(1,2,3,4...)
On the x axis... let's take 1cm to be π units(π,2π,3π....)
To get the sinusoidal axis Max - Min/2
Since 1cm is 1unit
Max =1 (from the graph)
Min= -1
1-1/2 = 0
The axis is at the center of middle
Meaning
D=y=0(Its directly at the x axis)
From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.
A=amplitude = 1cm
B=Period...(Time to complete one Oscillation)
It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10
B=2π/Period.
B=2π/19/10
B=2π x 10/19
B=20π/19
C=0
Writing the Equation
Y= 1Sin[20π/19(x-0)] +0
ie
Y = Sin [20πx/19]
My thoughts on it
Correct me if wrong... Thanks
PT= 4x+6 and TQ=9x-9 find the values of x and PT . Please help me I’m stuck
Shelby asked 15 friends to name their favorite ice-cream flavor.
If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?
Answer:2/5
Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5
how can you find the area of a polygon that is not one which you know an area formula.
Answer:
You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.
Its pretty simple once you understand it
dont be afraid to ask me if you need some help.
Have a wonderfull day
Somebody please help.
What is the area, in square centimeters, of triangle Z?
9514 1404 393
Answer:
24 cm^2
Step-by-step explanation:
The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...
A = 1/2bh
A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z
Please help!!!!!!!!!!ASAP!!!
In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC
Answer:
Its D!
Step-by-step explanation:
all you have to do for the triangles to be simialr is they have to add up to the same number.
In triangle abc ma=70 and mb=35 add those gives you 105
and in triangle mnp and M<N =70 which also gives you 105
since u get the same answer their similar!
Hope this helps!
here are four fractions 2/5 11/30 1/2 7/15 write these fractions in order of size start with the smallest fraction
Answer:
11/30, 2/5, 7/15, 1/2
Step-by-step explanation:
2/5= 0.4
11/30= 0.36
1/2= 0.5
7/15= 0.46
A circle has a diameter of 8 meters. What is the circumference? Use 3.14 for Pi. Show your work.
Answer: 50.27 m
Step-by-step explanation:
[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]
Hope this helped! ;)
The circumferance of the given circle is C = 8π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a constant distance from a given point called the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.The general form of the equation of a circle is:x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is -(x - x₁)² + (y - y₁)² = r²
The parametric equation of circle can be written as -x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y = - k + rsinθ.
Given is a circle that has a diameter of 8 meters.
We can write the circumferance of the circle as -
C = 2πr
C = 2π (d/2)
C = 2π (8/2)
C = 8π
Therefore, the circumferance of the given circle is C = 8π.
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Need's answer quickly! Write an ordered pair that would be graphed in quadrant II.
What is the solution to 2 x minus 8 less-than 12?
Answer:
X less than 10
Step-by-step explanation:
The problem is set up 2x - 8 < 12
So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10
Answer:
x< or = 9
Step-by-step explanation:
if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.
2(10)-8=12 but
2(9)-8=10
I really hope this helps, i am sorry if i misunderstood the question....