Solution of the given function g(x) = "-x^2" "-7" when x=-3 = 2.
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A function called g is defined by the notation y=g(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or g(x).
Given function
g(x) = -x² -7When x = -3
Whenever you're given a function, you simply plug in the x value you're given and then calculate the result.
g(-3) =(-3²) - 7
g(-3) =(9) - 7
g(-3) =9 - 7
g(-3) =2
Hence, When x=-3 = 2, the given function g(x) has a solution of "-x2" "-7."
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Given ^PRS = ^CFH, find the values of x, y, and z.
Answer:
x = 23, y = 7, z = 11
Step-by-step explanation:
Since triangle PRS is congruent to triangle CFH,
PS = CH = 39
2x - 7 = 39
2x = 46
x = 23
Angle PRS = Angle CFH = 90°
13y - 1 = 90
13y = 91
y = 7
Sum of angles in a triangle add up to 180°.
Angle CHF = 180 - 90 - 28 = 62°
6z - 4 = 62
6z = 66
z = 11
Question 23 (1 point)
What is the equation of the circle if the radius is 9 and the center is (2,7)
The equation of a circle that has a radius of 9 and a center at (-2, 7) is the option;
(x + 2)² + (y - 7)² = 81What is the definition of a circle?A circle is a set that comprises all points that are equidistant from a point on a plane
The general form of the equation of a circle is; x² + y² + 2•g•x + 2•f•y + c = 0
The equation of a circle can also be presented in standard form as follows;
(x - h)² + (y - k)² = r²Where;
(h, k) = The coordinates of the center of the circle
r = The measure of the length of the radius of the circle
The given parameters are;
The radius of the circle, r = 9
Taking the coordinates of the center of the circle, (h, k) = (-2, 7)
The equation of the circle in standard form is therefore obtained by plugging in the values of h, k, and r as follows;
(x - h)² + (y - k)² = r²
Which gives;
(x - (-2))² + (y - 7)² = 9²
Which gives;
(x + 2)² + (y - 7)² = 9² = 81
The equation of the circle is therefore the option;
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Simplify.
√2-√800
O 20
O 40
O 80
O 400
Answer:
−19√2
Decimal Form:
−26.87005768…
Step-by-step explanation:
The following equation shows what percent change?
f(x)=400(.85)^x
The percentage change of the given exponential function f(x) = 400(0.85)^(x) is; 15%
How to Interpret Exponential decay function?
The general form of an exponential decay function is:
y = a(1 – b)^(x)
where:
y is the final amount that remains after a period of time decayed
a is the initial amount
x is the time
Decay factor = (1 – b).
where;
b is the percent change written in decimal form.
We are given the exponential function as;
f(x) = 400(0.85)^(x)
Now, from the general form of an exponential decay function, we can say that;
1 - b = 0.85
b = 1 - 0.85
b = 0.15 or 15%
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a bacteria doubles every day. Write an expression to show how many bacteria will be there after 10 days. Assume there were 175 bacteria at beginning
Answer:
175 x 20
Step-by-step explanation:
You said that bacteria doubles every day, so it's x2. Since it's the course over 10 days, it's 10 x 2 = 20. So the expression is 175 x 20.
Please please please Help! I’m tired but have to finish!
A line has a slope of 4 and passes through the point (-1, 10). What is its equation in point-
slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer: 10=-4+14
Step-by-step explanation:
Find the y-intercept(b) y=Mx+b m=slope.
-1x4
-4
Take -4 to the other side
10+4=b
14=b
10=-4+14
Hope I helped
What are some examples of perpendicular lines transversing in real life?
Answer: Railway Track Crossing
Step-by-step explanation: A railway track crossing is usually two “lines”(the railroad and the road) intersecting at a 90 degree angle.
Answer: The adjacent sides of a picture frame
Step-by-step explanation:
The best example would be the adjacent sides of a picture frame. Remember that adjacent means next to and sharing a vertex. The adjacent sides of a picture frame meet at a 90∘ angle and so these sides are perpendicular.
in 2018, a sample of 400 students, whose family income was between $70,000 and $80,000, had a verbal sat score of 511. the point estimate of the mean score for this group is:
Based on the sample of students and the family income, the point estimate of the mean score of the group is 511.
How to find the Point Estimate?The Point Estimate refers to a figure in a population that is meant to describe a value for the entire population. For instance, a point estimate can be the mean of scores for a sample of students.
Going by that logic, the point estimate for the sample of 400 students who had family income between $70,000 and $80,000 is 511. This Verbal SAT Score refers to the mean score that the group got in their Verbal SAT.
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Reshma spends 1/4 of her pocket money on her comic books out of Rs 660. What is the amount she spent on her comic books and what amount is left with her?
Please give brief answer and explanation
contains 20 marks and will also mark as brainliest
The amount that Reshma spent on comic books is Rs. 165.
The amount that is left with her is Rs. 495.
How much did she spend on comic books?A fraction is a quantity that is not a whole number. A fraction consists of a numerator and a denominator. An example of a fraction is 1/4. 1 is the numerator and 4 is the denominator.
In order to determine the amount she spent on comics, multiply the fraction spent by the amount of her pocket money. Multiplication is the process used to determine the product of two or more numbers. The sign that represents multiplication is ×.
Money spent on comics = fraction of the money spent x pocket money
1/4 x 660 = Rs. 165
The amount left can be determined by subtracting the amount spent on comics by the value of her pocket money.
Amount left = pocket money - amount left
Rs 660 - Rs 165 = Rs 495
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The lowest point in California is Death Valley, at 282 ft
below sea level. The highest point in Texas is Guadaloupe
Mountain, at 8,749 ft above sea level. What is the
difference in elevation between these two points?
10. The sales tax rate in a certain state is 4%.
Find the total price paid for a pair of shoes
that cost $35.
Answer:
$36.40
Step-by-step explanation:
.04x35
A bag has 10 blue, 12 green, 8 yellow, 11 pink, and 10 orange pieces of candy. What is the probability of reaching in the bag, without looking, and choosing either a blue or a yellow piece of candy? 33/51 18/51 8/51 10/51
Answer:
b. 18/51
Step-by-step explanation:
There is a total of 18 blue and yellow candies, so in a total of 51, there would be a chance of 18/51 that you draw a yellow or blue piece.
Answer:
18/51
Step-by-step explanation:
Determine whether the equation Y=x^2 +13 represents a linear or non linear function and explain
Answer:
yés it is linear because
two variables that gives a straight line when plotted on a graph.
if it was correct tell me good or it was mistake tell me truth
Step-by-step explanation:
hope it was correct
Hector just acquired 200 acres of land for raising animals. He wants to have at least 50 horses and no more than 300 sheep. Horses require at least 2 acres each. A maximum of 6 sheep can share an acre. What are the inequalities for the system
Answer: yes because that is possible
Step-by-step explanation:and i took the quiz it 152
I don’t know how to rewrite this in graphing form.
We can write this equation as (x-3)² + (y-2)² =25 in graphing form.
What is graphing form ?The vertex form of a quadratic equation is y = a (x h) 2 + k as opposed to the regular quadratic form, which is an x 2 + b x + c = y. Graphs
f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.
Given Data
Equation:
x² +y² -6x +9y - 12 = 0
Writing in graphing form,
(x² - 6x) + (y² + 4y) = 12
(x² - 6x +9-9) + (y² +4y+4-4) = 12
(x² -6x +9) + (y² +4y+4) = 25
(x-3)² + (y-2)² =25
Center (x, y) = (3,-2)
radius r = 5
We can write this equation as (x-3)² + (y-2)² =25 in graphing form.
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What does compounded hourly mean
Please explain!!
C=4 π
A=
Answer: 12.56unit
Step-by-step explanation:
Find the range of the allowable values based ln givem information. Round to the nearest tenth
0.3 less than 15 or 0.3 more than 15 would be the acceptable range of values.
Consequently, based on the provided data, the permitted value range is
between 14.7 and 15.3
How to calculate the range between the given no.s ?The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.
so we know:
To find the range of values that can are permitted to vary by 2% of 15, first,
find the value of 2% of 15:
2/100*15=30/100=0.3
The permitted range of values would be 0.3 less than 15 or 0.3 greater than 15.
hence the values will be:
15+0.3 or 15-0.3
range=14.7 to 15.3
Therefore the range of the allowable values according to the given data is
from 14.7 to 15.3
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in the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. assume that the rate at which material is forgotten is proportional to the amount memorized. suppose m denotes the total amount of a subject to be memorized and a(t) is the amount memorized in time t > 0. determine a differential equation for the amount a(t) when forgetfulness is take
The differential equation of the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate at which a subject is memorized.
Translate the given word problem into an algebraic expression.
Let m be the total amount of a subject to be memorized.
Let a(t) be the amount memorized in time t > 0.
Let c(t) be the amount that is left to be memorized in time t > 0.
Then,
c(t) = m - a(t)
From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:
da(t)/dt = k. c(t), where k is a constant
da(t)/dt = k. (m - a(t))
k. a(t) + da(t)/dt = km
Hence, the differential equation is k. a(t) + da(t)/dt = km
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Overall, 120 6th grade scholars voted in theclass president election. How many votes did each class president candidate receive?
The number of votes that each class president candidate receive is 48 and 72 votes respectively.
How to calculate the values?Your information is incomplete. Therefore, an overview will be given. Let's say that A received 40% of the vote and B got 60% of the vote.
The number of votes gotten by each person will be:
A = Percentage × Number of votes
= 40% × 120
= 0.4 × 120.
= 48 votes.
B. = Percentage × Number of votes
= 60% × 120
= 0.6 × 120.
= 72 votes.
Therefore, A got 48 votes and B had 72 votes.
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After making the swim team, Farrah purchased a swimsuit, a swim cap, and a pair of goggles. The swimsuit was twice as much as the goggles, and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, what was the price of the swimsuit?
By using linear equation, When the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34
The total cost of the items = $59.50
Consider the cost of goggles = 2x
The swimsuit was twice as much as the goggles
The cost of the swimsuit = 4x
Swim cap was half the price of the goggles
The cost of the swim cap = x
Then the price of the items = The cost of goggles + The cost of the swimsuit + The cost of the swim cap
Substitute the values in the equation
2x + 4x + x = 59.50
7x = 59.50
x = $8.5
The cost of the swimsuit = 4x
= 4×8.5
= $34
Hence, by using linear equation, when the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34
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Solve this problem for 100 points
The graph of each function in the piecewise function is added as an attachment
How to determine the plot of the piecewise function?The equation of the piecewise function is given as
f(n) = n/2 if n is even
3n + 1 if n is odd
In the above definition of the piecewise function, we have the following functions and the domains
f(n) = n/2 at a domain of even numbersf(n) = 3n + 1 at a domain of even numbersNote that:
The domain of the function is the set of input values of the graph
This in other words mean the domain of a function is the set of x values of the graph.
Next, we plot the graph of each function in the piecewise function in their respective domain
See attachment for the graph of each function in the piecewise function,
On the graph, the blue line represents f(n) = n/2 while the other line represents f(n) = 3n + 1
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How do you write (x+1)^(2)-(2x+3)(x-4) in standard form?
Answer:
- x² + 7x + 13
Step-by-step explanation:
a parabola in standard form id expressed as
ax² + bx + c ( a≠ 0 )
given
(x + 1)² - (2x + 3)(x - 4) ← expand factors using FOIL
= x² + 2x + 1 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= x² + 2x + 1 - 2x² + 5x + 12 ← collect like terms
= - x² + 7x + 13 ← in standard form
Which of the following shows the numbers in order from least to greatest ? -2/3,-3/4,0.7,0
Answer: -3/4; -2/3; 0; 0.7
I NEED HELP. THIS IS DUE IN 30 MINUTES!!
For the given quadratic function, we have that:
The x-intercepts are x = 0 and x = -2.The y-intercept is of y = 0.The zeros are x = 0 and x = -2.f(-4) = -16.f(x) = 2 when x = -1.What are the intercepts of the function?The x-intercepts of the function are the same as the zeros, that is, the values of x for which f(x) = 0.
For this problem, the function is defined as follows:
f(x) = -2x² - 4x.
Hence the x-intercepts are given as follows:
-2x² - 4x = 0
2x² + 4x = 0
2x(x + 2) = 0.
Hence:
2x = 0 -> x = 0.x + 2 = 0 -> x = -2.What is f(-4)?The numeric value at x = -4 is calculated replacing each instance of x by -4, hence:
f(-4) = -2(-4)² - 4(-4) = -16.
When is f(x) = 2?We have to solve for x as follows:
-2x² - 4x = 2
2x² + 4x + 2 = 0
x² + 2x + 1 = 0
(x + 1)² = 0.
x = -1.
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How can I find y if x=2?
Answer:
easy put 2 in the place of x and take it's square and subtract 1 that will be the value of y
Step-by-step explanation:
y= x^2-1
y= (2)^2-1
y= 4-1
y= 3
(the arrow head is used for power)
Given l\parallel m\parallel nl∥m∥n, find the value of x.
The value of x that makes line l, m and n parallel is 12.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
The value of x that makes the line l, m and n parallel can be calculated as follows:
124 + 5x - 4 = 180 (supplementary angles)
124 - 4 + 5x = 180
120 + 5x = 180
subtract 120 from both sides of the equation
120 - 120 + 5x = 180 - 120
5x = 60
divide both sides by 5
x = 60 / 5
x = 12
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What is 8=-6/5t? I need to have that solved for algebra.
Answer:
t=-20/3
Step-by-step explanation:
Let's solve your equation step-by-step.
8=−6/5t
Step 1: Flip the equation.
−6/5t=8
Step 2: Multiply both sides by 5/(-6).
(5/−6)*(−6/5t)=(5/−6)*(8)
t=−20/3
Answer:
t=−20/3
Sally is 10 years older than her brother mark . Who is x years old. How old is sally?
Answer:
Mark is x years old.
Sally is 10+x years old
What’s the value of x
Using the rules of complementary angles we calculate that the value of x is 12° .
Pairs of complementary angles have measures which are one right angle.
The non-shared sides of two adjacent complementary angles form a right angle. Given that the sum of a triangle's internal angles is 180 degrees and the right angle alone accounts for 90 degrees, the two sharp angles of a right triangle are complimentary in Euclidean geometry.The Latin word complementum, from which the English word complement is derived, is related to the verb complere, which means "to full up." A right angle is created when an acute angle is "filled up" by its opposite.The complement of the angle describes the distinction between an angle and a straight angle.The two given angles are 29° and ( 5x + 1 )°.
There are a pair of complementary angles.
Therefore 29° + ( 5x + 1 )° = 90 °
or, 5x + 30° = 90 °
or, 5x = 60
or, x = 12°
Therefore using the rules of complementary angles we calculate the value of x is 12°.
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