Answer:
[tex]g(-3) = 5[/tex]
[tex]f(2) = 13[/tex]
[tex](f + g)(x) = x^2 +2x- 1[/tex]
Step-by-step explanation:
Solving (a):
[tex]g(x) = x^2 - 4[/tex]
Required
Determine g(-3)
[tex]g(x) = x^2 - 4[/tex]
Substitute -3 for x
[tex]g(-3) = (-3)^2 - 4[/tex]
[tex]g(-3) = 9- 4[/tex]
[tex]g(-3) = 5[/tex]
Solving (b):
[tex]f(x) = 3x + 7[/tex]
Required
Determine f(2)
[tex]f(x) = 3x + 7[/tex]
Substitute 2 for x
[tex]f(2) = 3*2 + 7[/tex]
[tex]f(2) = 6 + 7[/tex]
[tex]f(2) = 13[/tex]
Solving (c):
[tex]f(x) = 2x + 3[/tex]
[tex]g(x) = x^2 - 4[/tex]
Required
[tex](f + g)(x)[/tex]
In functions:
[tex](f + g)(x) = f(x) + g(x)[/tex]
So, we have:
[tex](f + g)(x) = 2x + 3 + x^2 - 4[/tex]
Collect Like Terms
[tex](f + g)(x) = x^2 +2x- 4+3[/tex]
[tex](f + g)(x) = x^2 +2x- 1[/tex]
8x - 2 + 16
answer this pls
Answer:
8x+14
Step-by-step explanation:
Help I need help I have 20 missing assignments
M<5 = 98 degrees , find m< 4
Answer:
Step-by-step explanation:
if M<5=98, angle M<4=180-98=82
angles 5 and 1 are equal
angles 8 and 4 are equal
Which of the following options will definitely balance the third scale?
Answer:
I'd say b... But I'm not very confident about it.. Let me know if it's right.
A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.
Answer:
[tex]\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}[/tex]
Step-by-step explanation:
Given dimensions of the box = 20cm × 6cm × 4cm .
Dimension of the cube = 2cm × 2cm × 2cm .
Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,
[tex]\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}[/tex]
[tex]\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }[/tex]
Hence the number of cubes that can be fitted in the box is 60 .In distributions in which many scores differ greatly from the distribution’s mean, the bigger the:
A) statistical significance.
B) correlation.
C) reliability.
D) standard deviation.
Answer:
In distributions in which many scores differ greatly from the distribution’s mean, the bigger the:
D) standard deviation.
Step-by-step explanation:
The more spread out or variable a data distribution is, the greater its standard deviation. A standard deviation is the square root of the variance. A mean is an average of all set of available data. It is obtained by dividing the value of data by the number of the data set. The standard deviation is the statistics that basically measure the distance from the mean, and is calculated as the square root of variance determined by each data point relative to the mean.
. Adam's average (arithmetic mean) on four tests is 80. Which of the following CANNOT be the number of tests on which he earned exactly 80 points?
(A) 1 (B) 2 (C) 3 (D) 4
Answer:
40 is answer of this question l know this much onl
Answer:
I think the answer is 4
Step-by-step explanation:
Hope this helps have an amazing day/month/year!
A superintendent of a school district wants to understand the link between attendance and grade point average, or GPA. The GPA is out of 4.0 points, with 4.0 being the highest possible. The percent attendance and GPA of 10randomly sampled students from the superintendent's district were collected. This sample data is reproduced in the table below. Calculate the correlation coefficient r using a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
"GPA" 3.5 2.38 1.16 3.83 3.28 3.69 3.46 3.87 3.69 3.75
Attendance 91% 74% 80% 97% 59% 78% 90% 98% 94% 87%
r=_______.
Answer:
0.4136
Step-by-step explanation:
Given the data:
"GPA":
3.5
2.38
1.16
3.83
3.28
3.69
3.46
3.87
3.69
3.75
Attendance
0.91
0.74
0.80
0.97
0.59
0.78
0.90
0.98
0.94
0.87
The value of R (correlation Coefficient) obtained for the two variables GPA and ATTENDANCE is 0.4136. This shows that a fairly weak relationship between the GPA obtained and the attendance of students. Hence, even though a positive relationship exist between the two variables, that is, an increase in one variable yields a corresponding increase in the other and vice versa. The correlation Coefficient value for both values is just fairly strong.
determine the value of x
Answer:
21
Step-by-step explanation:
Was she old enough?
A: Yes
B: Please yes
C: if u don't say yes I'm going to jail please say yes
Answer:
what are you talking about
Step-by-step explanation:
Express the product of 2x^2 +7x-10 and x+5 in Standard form.
Answer:
2x^3 + 17x^2 + 25x - 50
Step-by-step explanation:
Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red?
Answer:
12 red cars
Step-by-step explanation:
15% is 0.15
So, you do 80 × 0.15, which is 12.
Quadrilateral EFGH was dilated and rotated 90° clockwise about the origin to form quadrilateral EFGH! Which part of quadrilateral EFG'H'is congruent to quadrilateral EFGH?
Answer: It’s angle measures
Step-by-step explanation: iready
A bag of popcorn contains 945 calories and serves 7.5 people. How many calories are in each serving?
Please help
Answer:
126
Step-by-step explanation:
945÷7.5=126
I HOPE IT HELPS!
Help plz:)))I’ll mark u Brainliest
Old MacDonald had a farm, and on the farm he had 10 pigs8 horses, 12 sheep, and 18 cows. What is the ratio of the number of cows to the number of pigs? (Write your answer as a fraction in simplest form.)
Answer:
18/10=9/5
Step-by-step explanation:
given the function f(x)=4-2x: if the domain is -4,0,5 find the range
Answer:
{12, 4, -6}
Step-by-step explanation:
f(x)=4-2x
x = -4
f(-4) = 4 - 2(-4) = 12
x = 0
f(0) = 4 - 2(0) = 4
x = 5
f(5) = 4 - 2(5) = -6
aaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Eut
Step-by-step explanation:
fooyyyyyyyyyyyyyddffghhgyfdxdvvrvrvrhntbrvd. vsvd ebe. d dvd
Write an equation to match this graph. i will give brainlyest
Answer:
5÷7
Step-by-step explanation:
Im guessing this or adfibg
Solve each equation.
7x^2 = 49
ANSWER:
X=
Answer:
x=3.5
Step-by-step explanation:
7(3.5)^2=49
7(7)=49
This statement is true after substituting 3.5 for x.
Answer:
x = [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps! Please mark as brainliest.
Thanks!
Claire is going to invest $2,600 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Claire to end up with $4,300?
Answer:
Rate of interest r = 2.83 % (Approx.)
Step-by-step explanation:
Given:
Amount invested p = $2,600
Amount get A = $4,300
Number of year n = 18
Find:
Rate of interest r
Computation:
A = p(1+r)ⁿ
4,300 = 2,600(1+r)¹⁸
(1+r)¹⁸ = 1.653846
Rate of interest r = 2.83 % (Approx.)
Answer: 2.80%
Step-by-step explanation:
Delta Math
kerry has 3 quarts of oil for her motorcycle if she uses 2/5 of a quart each week how many weeks will the oil last
Answer:
12 weeks
Step-by-step explanation:
NEED HELP ASAP Select the correct answer.
Which Inequality is graphed on the coordinate plane?
Oy? -4r + 2
O y > -x + 2
y = -x + 2
o y <-4+ + 2
d
Answer:
D: y < -1/4x + 2
Step-by-step explanation:
I just did it on Edmentum
The inequality which is graphed on the coordinate plane is y > -x + 2, the correct option is B.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that;
The graph of inequality
Now,
the graph shows a dashed line with a slope of -1 and a y-intercept of 2, which is the equation y = -x + 2. The dashed line means that the points on the line are not included in the solution set of the inequality. The shaded region above the line means that the points in that region satisfy the inequality.
Therefore, by the inequality the answer will be y > -x + 2.
Learn more about inequality ;
brainly.com/question/14164153
#SPJ7
The noise level of a library is about 40 decibels. The noise of traffic has a rating of about 85 decibels. How many times stronger is the noise of traffic than the noise of a library?
Answer:
2.125
Step-by-step explanation:
LIbrary noise = 40 decibels
traffic noise = 85 decibels
how many does 40 take to make 85? = X
40X=85
X=85/40
2.125
.
Which function is equivalent to g(x)=x2 - 15%-542
O
g(x)= ( x-18)( x + 3)
g(x)= ( x-9)( x + 6)
g(x) = (x+18)(x-3)
g(x)= (x+9)(x-6)
Answer:
fortnite
Step-by-step explanation:
need points
please help me will give brilliant
Given,
Inequality : y-5>2x-10
To find,
Draw the graph.
Solution,
We have,
y-5>2x-10
First we simplify the above inequality.
Taking variables to LHS and constant to RHS.
y-2x>5-10
y-2x>-5
The points are (0,-5) and (3,1).
The attached figure shows the graph for the above equation. So, the correct graph is in option (2).
Wrtire 55, 555 expanded form. How does the value of each 5 compare to the value of the 5 to its rights
Answer: ↓↓
Step-by-step explanation:
55,555 = 50,000 + 5,000 + 500 + 50 + 5
50 = 10 × 5
500 = 100 × 5
50,00 = 1000 × 5
50,000 = 10,000 × 5
Hope I helped!
a student walks 2 kilometers in 30 minutes. What is the students average speed in kilometers per hour?
Answer:
4 km/h
Step-by-step explanation:
Answer:
4 kilometers per hour
Step-by-step explanation:
How many fourths are there in 1 3/4?
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .
Answer:
7
Step-by-step explanation:
1 3/4 = (4+3)/4 = 7/4 = 7 fourths
Question 6 of 14 Type the correct answer in the box. Use numerals instead of words. Joe owns a fast-food restaurant and wants to know the average time it takes for customers to receive their orders. His restaurant serves about 500 customers a day. He timed 5 orders, and the order times he collected, given in minutes, are shown below. Can the approximate order fulfillment time for all of the restaurant's customers be calculated from the given data? If so, calculate it. Non-integer answers should be rounded to the nearest tenth. If no assumption can be made, type "0" in the box. The approximate order fulfillment time for all of the restaurant's customers is minutes.
Answer:
The approximate order fulfillment time for all of the restaurant's customers is 0 minutes.
What is the slope of the line shown below?
(-1,6)
(2,-3)
o A. 1/3
O B. -1/3
C. -3
D. 3
Answer:
C
[tex]slope = \frac{(y _{2} - y _{1})}{(x _{2} - x _{1}) } \\ = \frac{( - 3 - 6)}{(2 - ( - 1))} \\ = \frac{ - 9}{3} \\ slope = - 3[/tex]