The graph of a function h Is shown below.
Find one value of x for which h (x)=-4 and find h (1).
(a)
(b)
One value of x for which h(x) =
h(1) =
= -4:
X
3
Answers
Step-by-step explanation:
the picture asks for similar things as your text but got other numbers.
let's do both.
first the picture :
find g(0) and one value of x for which g(x) = 0.
g(0) means that x = 0.
so, we find x = 0 on the x-axis (it is where the y-axis intersects) and then go straight up or down until we meet or intersect the function curve.
in our case we go up and intersect the curve at y = 2.
and that is the result.
y = g(x), it is a named variable for the function result, nothing else.
so,
y = g(0) = 2
to find a value of x for which g(x) = 0 means we go along the x-axis (these are all the points for which y = 0) until the x-axis intersects with the curve.
and that is here at x = -1.
now for your text :
we repeat the same principles.
but now, we need to use imaginary lines that go parallel to the x- and y-axis.
your text now calls the function h(x), but since I have no other information, I assume it is the same line function in the picture.
for which value of x is h(x) = -4 ?
remember, y is just the variable that stands for the function result.
so, we are asking for
y = h(x) = -4
imagine a horizontal line through y = -4.
where does it intercept the line h(x) ?
at that point we go straight up or down (in our case up) to the x-axis and read the x-value there : -3
so,
y = h(-3) = -4
to find h(1) we find x = 1 on the x-axis, and from there we go straight up or down (in our case up) parallel to the y-axis until we intersect the function curve.
from there we go straight left out right (in our case left) to the y-axis and read the y-value there : 4
so,
y = h(1) = 4
Related Questions
4 is 50% of what number?
Answers
Answer:
8
Step-by-step explanation:
To solve this problem you multiply 4 by 100 and then divide the total by 50 as follows: (4 x 100) / 50
Let 4 be 50% of x ; then 50/100 x = 4
= 0.5x=4
= x = 8
Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?
a.) 120d + 110d = 1,500 + 2,500
b.) 120 + 110 = 1,500d + 2,500d
c.) 120d + 1,500 = 110d + 2,500
d.) 120d + 2,500 = 110d + 1,500
Answers
The equation that can be solved to determine the number of days when both jobs would have the same cost is 120d + 1,500 = 110d + 2,500.
What is the equation?The equations that would be formed would be linear equations. A linear equation is an equation that has a single variable that is raised to the power of one. A linear equation is a straight line when it is drawn on a graph.
The equation that represents the total bonus of the first job is: fixed pay + total variable pay
1,500 +( $120 x d)
1,500 + 120d
The equation that represents the total bonus of the second job is: fixed pay + total variable pay
$2,500 + ($110 x d)
$2,500 + $110d
When the amount at both jobs are equal, the two above linear functions would be equal
$2,500 + $110d = 1,500 + 120d
Combine similar terms together:
$2,500 - $1,500 = $120d - $110d
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
Answers
The expression 400 + 0.1s represents her total weekly earnings.
What is an expression?An expression is written in the form of variables and constants separated by the operation of addition and subtraction. There are many types of expressions some of them are algebraic expression, trigonometric expression, logarithmic expressions, and many more.
Given Tasha earns $400 per week plus a commission of 10% on her weekly sales.
She also saves one-fourth of her earnings.
Assuming the amount she makes on sales is s.
∴ The expression that represents her total weekly earnings is,
= 400 + 0.1s.
As 10% in decimal can be written as (10/100) = 0.1.
learn more about expressions here :
https://brainly.com/question/14083225
#SPJ1
Given m∥n, find the value of x. 34°.
Answers
Answer: 34
Step-by-step explanation:
Vertical angles are congruent.
does anyone know how to solve this questions im confused. Thank you so much is you help!
Answers
[tex]g(f(\text{x})) = -3\text{x}^2+3[/tex]
[tex]g(f(2)) = -9[/tex]
=======================================================
Explanation:
Let's compute g(f(x))
We do this by starting with the outer function g(x). Then replace every x with f(x). Then plug in the definition of f(x) as shown below.
[tex]g(\text{x}) = \text{x}-1\\\\g(f(\text{x})) = f(\text{x})-1\\\\g(f(\text{x})) = 4-3\text{x}^2-1\\\\g(f(\text{x})) = -3\text{x}^2+3\\\\[/tex]
At this point, we then plug in x = 2 so we can find that...
[tex]g(f(\text{x})) = -3\text{x}^2+3\\\\g(f(2)) = -3(2)^2+3\\\\g(f(2)) = -3(4)+3\\\\g(f(2)) = -12+3\\\\g(f(2)) = -9\\\\[/tex]
If the first two terms of an arithmetic sequence are 3 and 9, what would be the explicit equation for this sequence?
Answers
The explicit equation of the sequence is an = 3 + (n-1)*6
First term = 3
Second term = 9
A series of numbers in mathematics whose each term is always expressed as a, a+d, a+2d, or a+3d. An arithmetic progression is defined as a + (n-1)d, where a is the first term,d is the common difference of the series and n is the number of terms in the sequence
Any two continuous terms in the arithmetic sequence differ by the same number.
Arithmetic sequence is given by an = a + (n-1)d
So, the common difference = 9-3 = 6
a = 3
Substituting the values in the formula we get:
For nth term: an = 3 + (n-1)*6
Learn more about arithmetic progression:
https://brainly.com/question/24016699
#SPJ1
Write a quadratic equation in the form x^2+bx+c=0
Answers
ax^2 + bx + c = 0
a=1
b=4
c=-8
x^2 + 4x - 8 = 0
(I thought I was wrong but I might be correct lol)
Which of the following numbers are perfect squares?
Select all that apply.
A 27
B 36
C 108
D 121
Answers
Answer:
B 36
Step-by-step explanation:
36 = 6×6 = 6^2
6^2 is a perfect square
6x6 = 6^6
That should help
100 POINTS + BRAINLEIST
Answers
Answer:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN || AB, MN || DC, and MN = (AB + CD).
Step-by-step explanation:
Answer:
MN is 1/2 of DC
Step-by-step explanation:
DC= 44
MN= 22
1+1+1-1-5-5r-3-3--2-6--4
Answers
Step-by-step explanation:
1 + 1 + 1 - 1 - 5 - 5r - 3 - 3 --2 - 6 --4
3 - 1 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4
2 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4
-3 - 5r - 3 - 3 -- 2 - 6 -- 4
-5r - 6 - 3 + 2 - 6 + 4
-5r - 9 + 2 - 6 + 4
-5r - 7 - 6 + 4
-5r -13 + 4
-5r - 9
This is the furthest it can be reduced to if you're not trying to find the value of r.
Hope this helps! :)
What is the equation of a line that passes through the point (2, −10) and is parallel to 14x+2y=6 ?
Enter your answer in the box.
Answers
The equation of the line passes through (2, -10) and to parallel to 14x +2y = 6 is 7x + y = 4
In the above question,
The equation of the line = 14x + 2y = 6
2y = 6 - 14x
y = [tex]- \frac{14x - 6}{2}[/tex]
y = -(7x - 3)
y = -7x + 3
The inclination of a line with respect to the horizontal is measured numerically is called as Slope
Slope of the given line = -7
The slope of a line parallel to the given line would be the same as they both are parallel to each other, hence the needed line's slope is also -7
The point through which is passes = (2, -10)
We need to find the equation of the line which passes through (2, -10) and to parallel to 14x +2y = 6
The equation of a line parallel to the given 14 x + 2 y = 6, and passing through the point (2, -10) is
[y - (-10)] = (-7)[x - 2]
y + 10 = -7x + 14
7x + y = 14 - 10
7x + y = 4
Hence, the equation of the line passes through (2, -10) and to parallel to 14x +2y = 6 is 7x + y = 4
To learn more about, slope, here
https://brainly.com/question/3605446
#SPJ1
NEED HELP ERGENT!!!
Round
your answer to the nearest tenth of a mile.
Three boats are at sea: Jenny one (J1), Jenny two (J2), and Jenny three (J3). The crew of
J1 can see both J2 and J3. The angle between the line of sight to J2 and the line of sight to
J3 is 45 degrees. If the distance between J1 and J2 is 2 miles and the distance between J1
and J3 is 4 miles, what is the distance between J2 and J3?
Answers
The distance between J1 and J2 is 2.94 miles using cosine rule.
What is cosine rule?
Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.
cos x = ([tex]b^{2} +c^{2} -a^{2}[/tex])/2bc
x = 45
b = 4
c = 2
to find a
cos 45 = 4(4) +2(2) - [tex]a^{2}[/tex]/2(4)(2)
1/[tex]\sqrt{2}[/tex] = 16 +4 - [tex]a^{2}[/tex]/16
16/[tex]\sqrt{2}[/tex] = 20 - [tex]a^{2}[/tex]
a = 2.94
To know more about cosine rule, visit:
https://brainly.com/question/27145006
#SPJ13
Solve the formula Aa + By = C for B.
Answers
A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.
What is literal equation?A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.
Alternatively,
Ax +By = C
Any sign that crosses over equal(=) signs always change
In this case, Ax crosses over to C
By = C - Ax
To eliminate y from By, then
By/y = (C - Ax) /y
y cancel out y on the left side
B = (C - Ax) /y
The complete question is,
Solve for B in the literal equation Ax+By=C
To learn more about literal equation refer to:
https://brainly.com/question/22236988
#SPJ13
As the sample size becomes larger, the sampling distribution of the sample mean approaches a.
Answers
The sampling distributions reach a normal distribution as sample sizes increase.
What is termed as the normal distribution?The proper term for just a probability bell - shaped curve is the normal distribution.The mean of a normal distribution is zero, and the standard deviation is one. It has a skew of 0 and a kurtosis of 3.Even though all symmetrical distributions are normal, not all normal distributions are symmetrical.Many naturally occurring phenomena resemble the normal distribution.For the given statement in the question-
As sample sizes grow larger, sampling distributions reach a normal distribution.
The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).
To know more about the normal distribution, here
https://brainly.com/question/28249284
#SPJ4
Any help can’t get the answer right
Answers
Answer:
-2
Step-by-step explanation:
f(x) = 2x, g(x) = x - 4
f(g(3)) = f(-1) = 2(-1) = -2
There's a roughly linear relationship between the number of times a species of
cricket will chirp in one minute and the temperature outside. For a certain
type of cricket, this relationship can be expressed using the formula
T= 0.27c+ 31, where T represents the temperature in degrees Fahrenheit
and c represents the number of times the cricket chirps in one minute. What
is the meaning of the c-value when T = 77?
Answers
Answer:
B
Step-by-step explanation:
i had the thing 2 days ago lol
Answer:
Step-by-step explanation:
T = 0.27·c + 31
0.27·c = T - 31
c = (T - 31) / 0.27 = (77 - 31) / 0.27 ≈ 170
Answer:
170 times a minute a cricket chirps at 77° F
What is the constant of proportionality in the equation y=3x, equals, 3, x?
constant of proportionality =equals
Answers
, The constant proportionality is 3
What is Proportionality Constant ?
The proportionality constant is the ratio between two variables that varies directly . For directly proportional variables, their ratio is always a constant and this constant is the proportionality constant.
Now, We have the equation is:
y = 3x
To get the constant of proportionality,
we will derive both sides of the equation by x.
y/x = 3x/x
y/x = 3
Hence, The constant proportionality is 3
Learn more about constant proportionality at:
https://brainly.com/question/14324562
#SPJ1
whats the equation for X 3?
Answers
we need to verify for each equation if x=3 is a solution. If we replace x by 3 in the first equation we get
[tex]\begin{gathered} 9\cdot3-7=20 \\ 27-7=20 \\ 20=20 \end{gathered}[/tex]so the answer is letter A
(root 10 - root 2 )^2
Answers
not that bad
goodluck tho :)
Pls, help me with MATH!!!
Answers
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years is $3,075.00. With a principal of £1,500.00 and an interest rate of 3.5% over a 30-year period, Sarah-Jane will save UK £1,575.00. It is undoubtedly a wise investment because the original UK £1,500 doubled.
What is Simple Interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
What is the formula for Simple interest?A = P(1 + RT)
A=Final Amount
P = Principal
R = Rate of Interest
T = Time period
Here,
A = $3,075.00
I = A - P = $1,575.00
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
Solving our equation:
A = 1500(1 + (0.035 × 30)) = 3075
A = $3,075.00
$3,075.00 is the total amount accrued from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years (principal plus interest). In a 30-year loan with a £1,500.00 principal and a 3.5% interest rate, Sarah-Jane will save UK £1,575.00. The original UK £1,500 doubled, so it is unquestionably a smart investment.
To know more about Simple Interest,
https://brainly.com/question/25845758?referrer=searchResults
#SPJ13
Sandra saves 9% of her salary for retirement. this year her salary was $3,000 more than in the previous year, and she saved $4,050. what was her salary in the previous year?
Answers
Answer:
She earned $42,000 in the previous year
Step-by-step explanation:
9% can be rewritten as 0.09
0.09x is 4050
divide both sides by 0.09
0.09x becomes x
4050 becomes 45,000
then we subtract 3,000 from 45,000 to find the previous years salary
I need help finding the value of x for these problem?
Answers
ANSWER
No 3. x = 41 degrees
No 4. x = 6.5 degrees
EXPLANATION
Question 3
Note: One of the angles in a right triangle is 90 degrees. As a result, the sum of the other two angles is 90.
That is:
[tex]\begin{gathered} 45+(x+4)=90 \\ x+4=90-45 \\ x=45-4 \\ x=41^0 \end{gathered}[/tex]Question 4
Note: The sum of angles in a triangle is 180
That is:
[tex]\begin{gathered} 31+97+8x=180 \\ 128+8x=180 \\ 8x=180-128 \\ 8x=52 \\ x=\frac{52}{8} \\ x=6.5^0 \end{gathered}[/tex]please solve this with solution thankyou.
Answers
The value of the function operation of each one is represented below.
Function OperationTo solve this problem, we have to perform the operation on each one.
f(x) = 2x + 4g(x) = x^2 + 4x + 4h(x) = x^2 - 41) (fg)(x)
[tex](fg)(x) = 2x^3 + 12x^2 + 24x + 16[/tex]
2) (hg)(x)
[tex](hg)(x) = x^4 + 4x3 -16x -16[/tex]
3)
(fh)(2)
[tex](fh)(2) = 0[/tex]
4) (gh)(x)
[tex](gh)(x) = x^4 + 4x^3 - 16x -16[/tex]
Learn more on function operation here;
https://brainly.com/question/28595767
#SPJ1
In the diagram, M is the midpoint of AB.
Support the following argument for AM = MB by
writing the reason that validates each statement.
A. Definition of midpoint
B. Definition of congruent segments
C. Given information
We know that M is the midpoint of AB.
This means that AM = MB.
Therefore, AM=~MB.
Answers
Answer:
It goes
1.) C
2.) A
3.) B
10% of the 70 students in the school orchestra are performing a solo at the spring concert. How many students are performing a solo?
Answers
Answer:
7 soloists
Step-by-step explanation:
10% is .1 in decimal form
70 x 0.1 = 7 soloists
Answer:
Step-by-step explanation:
Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?
19.5b + 1.5
−19.5b − 1.5
−19.5b − 6.9
19.5b − 6.9
Answers
The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.
The given expression in the question is
3(-4.5b-2.1) - (6b +0.6)
= -13.5b - 6.3 - 6b - 0.6 (multiplying 3 and -1 respectively with the elements in the bracket)
= -19.5b - 6.9
Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9
Hence the third option which is -19.5b -6.9 is the correct answer.
How do you evaluate an algebraic expression:
brainly.com/question/15275240
#SPJ4
Consider the population of a small town that grows according to the explicit rule: p = 53600 + 145 n, where n is the number of years after 2009. based on this model what is the population in 2022?
Answers
Answer:
p = 55485
Step-by-step explanation:
p = 53600 + 145 n
n = 2022 - 2009 = 13 years
so, p = 53600 + 145(13)
p = 55485
If sin - cos = 0 , then the value of sin^4 + cos^4 is
Answers
Answer:
sinθ-cosθ = 0
sinθ= cosθ
sinθ/cosθ = 1
tanθ = 1
Bu tan45 = 1
So,
tanθ=tan45
θ = 45°
sin45 = 1/√2 cos45 = 1/√2
sin⁴θ+cos⁴θ = (1/√2)⁴+(1/√2)⁴
= 1/4+1/4 = 2/4 = 1/2 = 0.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you..................
2
4x + 1
4
3
6
5
2x + 41
7
What is the value of x?
V
Answers
Answer:
x = 20
Step-by-step explanation:
4x + 1 and 2x + 41 are alternate exterior angles and are congruent , then
4x + 1 = 2x + 41 ( subtract 2x from both sides )
2x + 1 = 41 ( subtract 1 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
amber wants to have $300,000
Answers
Answer:
i hope i can answer your question
Step-by-step explanation:
Amber wants to have $300,000 so i don't see another number that you can solve on maybe type that first so i can answer please