Answer: 10.5 feet
Step-by-step explanation:
From the question, we are informed that Marcel is purchasing a board to build a bookcase he wants to divide the board into 1.75-foot sections and that he needs 6 sections.
The size of the board that Marcel need will be calculated by multiplying 6 by 1.75 foot. This will be:
= 6 × 1.75
= 10.5 feet
Evaluate the function for f(3).
f(x) = -3x - 8
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ6
There are 28 students in the class and 1316 blocks. If the blocks are divided equally among the students, how many does each student get? *
Answer:
girl
Step-by-step explanation:
Uh just do 1316/28 and you get 47. 47 blocks per student
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20
Answer:
x=-2, 2.
Step-by-step explanation:
5x^2-20=0
factor out the 5
5(x^2-4)=0
5(x+2)(x-2)=0
(x+2)(x-2)=0/5
(x+2)(x-2)=0
x+2=0, x-2=0
x=0-2=-2,
x=0+2=2.
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
12.8
14.9
15.4
17.3
Answer:
It is 15.4 on edge. C
Step-by-step explanation:
Your question: "Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal."
Calculate the magnitude
The answer is 15.4
N - 8 greater than equal to -4
Answer:
N greater than or equal to -12
Step-by-step explanation:
N-8 greater than or equal to -4
N greater than or equal to -4-8
N greater than or equal to -12
Select the lines that represent functions,
2
-1
-7
-6
-5
-4
-3
-2
- 1
2
3
4
5
6
7
--1
-2
-3
-4
-5
Answer: The top right, the straight horizontal line that is right next to it, and the bottom right
Step-by-step explanation:
They pass the vertical line test.
Answer:
Horizontal line
Slanted line
Bottom right line
Step-by-step explanation:
What is the equation of the line that is parallel to the given line and passes through the point (12, −2)?
y = –Six-fifths x + 10
y = –Six-fifths x + 12
y = –Five-sixths x – 10
y = Five-sixths x – 12
Answer:
D
Step-by-step explanation:
Answer:
y = Five-sixths x – 12
Step-by-step explanation:
edge 2020 :p
25 POINTS! URGENT! HELP PLS!! 3 PARTS BUT YOU CAN DO HOW EVER MANY U WANT
What do you know about the number of edges and vertices for each figure?
How do you know?
a)
A prism has 12 faces.
b)
A pyramid has 7 faces.
c)
A Platonic solid has 12 faces.
In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this
number in scientific notation.
Step-by-step explanation:
3.38 × [tex]10^{6}[/tex] is the scientific notation of 3,380,000
Answer:
3.38 x [tex]10^{2}[/tex]
Step-by-step explanation:
A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
12f + 9.8g + 5.7 centimeters
Step-by-step explanation:
Side A = (9.8f-8.4) centimeters
Side B = (2.2f+4.9) centimeters
Side C = (9.8g+9.2) centimeters.
Perimeter of a triangle = Side A + Side B + Side C
= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)
= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2
Collect like terms
= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2
= 12f + 9.8g + 5.7 centimeters
Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters
Hurrryyyyyy upppppp I needddddd helpppppp righttttt nowwwwwww ?????
Answer:
X<-4 and -4>x
Step-by-step explanation:
Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?
Answer:
simple
Step-by-step explanation:
-12r+8-2r+2
-14r-10
Translate the sentence into an inequality.
Twice x is less than or equal to - 18.
Answer:
[tex]2x\leq -18[/tex]
Step-by-step explanation:
[tex]2x \leq -18[/tex]
the first side is
twice x
2 times x
the symbol means less than or equal to
and finally we have the -18
Answer:
2x<_-18
Step-by-step explanation:
Twice means 2x and less than means <_ and -18
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
y=-3x-1
Step-by-step explanation:
if you put it in pint slope form first and then simplify it is the easiest way.
y-2=-3(x+1)
y-2=-3x-3
+2. +2
y=-3x-1
Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table. Jane claims that as the week progressed the temperatures increased from below zero to above zero. Which of the following statements provide support for Jane's claim? Select all that apply.
Answer: Monday had the lowest temp below zero, on Monday and Tuesday the temp was below zero.
Step-by-step explanation: I did it
Part of the student's solution for finding the quotient 288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2 Which step should the student do next? A. 10 + 2 B. 240 ÷ 3 C. 10 + 48 + 2 D. 10 – 2
Answer:
A. 10 + 2
Step-by-step explanation:
288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2
After obtaining the quotient of 288 ÷ 24 = 10,
Multiplying the divisor 24 by 10 = 240 and subtracting 240 from 288 to obtain the remainder = 48, the divisor is again used in 48 and the quotient obtained is added to the intula quotient value of 10 ; (10 + 2) and the process repeated
Need help as soon as possible I will seriously gift brainlist at this point
Answer:
15
Step-by-step explanation:
you basically have to multiply -3 by x to get y
-3·(-3)=9
-7·(-3)=21
so -5·(-3)=15
helpppppppppppppppppp
Answer:
hmmmmmmmmmm i think its inverse operation
What is the simplified form of the 3 ratios?
A.15
B.1/30
C.1/15
Answer:
A. 450 B. 1 C. 2
Step-by-step explanation:
A : B : C
15 : 1/30 : 1/15
MULTIPLYING BY 30 ON NUMERATOR (as 30 is LCM OF 15, 30, 15 :
15 × 30 : 1/30 × 30 : 1/15 × 30
450 : 1 : 2
How many cubic inches are needed to fill this
rectangular prism?
10 in.
9 in.
5 in.
Total area of village in sq. km is 8.5. If total area for rice cultivation in sq. km is 3.5 and land for plastic factory in sq. m is 750.. Find the percentage of both the cultivated area and factory area..
Answer:
41.4% for rice cultivation and 8.82 for plastic factory
Step-by-step explanation:
convert sq.km into sq.m
then divide area of land by total area then multiply by 100.
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
The definition of the side splitter theorem is if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
What that means in this problem is that
x/18=9/54
Now, we just have to simplify that by cross multiplying
54x= 162
x=3
A car salesperson sells a car for $21,000. She receives a 5.25% commission on the sale of the car.
How much did she earn on the sale?
Answer:
She earned 1102.50 from the sale.
Step-by-step explanation:
I'd say break the percentage down
5.25÷100=0.0525
21,000×0.0525=1102.5 or 1102.50
2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
Answer:
- 23
Step-by-step explanation:
We could do this the long way and expand the whole product or note that the [tex]a^{4}[/tex] terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is
4a³ × 3a = 12[tex]a^{4}[/tex]
+ 5a² × - 7a² = - 35[tex]a^{4}[/tex]
Summing gives
12[tex]a^{4}[/tex] - 35[tex]a^{4}[/tex] = - 23[tex]a^{4}[/tex]
with coefficient - 23
The only pairs that will give you some multiple of [tex]a^4[/tex] are:
[tex]4a^3\cdot (3a),\quad 5a^2\cdot(-7a^2)[/tex]
their values are respectively
[tex]12a^4,\quad -35a^4[/tex]
and their sum is [tex]-23a^4[/tex]
18. (ACED 2) A drver starts a journey with 25 gallons in the tank of his car. The car burns 5 gallons for every 100
miles Assume the amount of gasoline in the tank decreases linearly. Igal 20 miles
a White an equation to represent the number of gallons left in the tank at any given distance (in miles).
b. Identify the variables used.
c. How many miles will the car have traveled when it runs out of gas?
Answer:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Step-by-step explanation:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
plzzzzzzzzzzzzzzzzzzz help soon asap
Answer:
[tex]m=\frac{5}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-10, -4)
Point (10, -29)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-29+4}{10+10}[/tex]Add: [tex]m=\frac{-25}{20}[/tex]Simplify: [tex]m=\frac{5}{4}[/tex]Answer: -1.25
Step-by-step explanation:
You can use a graph to help. Plot the points first, then draw a line through them. Then, count the points that rise, over the amount of points that run.
You can also do it the computational way without a graph.
Use this equation:
m = (y2 - y1) / (x2 -x1)
32:51
On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.
Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not?
Yes, because AB and CD are each Two-fifths the lengths MN and QP.
Yes, because sides AB and CD are parallel to sides MN and QP.
No, because AB is Two-fifths the length MN but CD is One-third the length QP.
No, because sides AB and CD have different slopes from sides MN and QP.
9514 1404 393
Answer:
C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.
Step-by-step explanation:
Dilation multiplies each coordinate or length by the scale factor. Here, different corresponding lengths are multiplied by different values, so no dilation is involved.
__
Additional comment
Dilation shouldn't change any slopes, so if slopes of corresponding segments are different, that is another indication dilation is not involved. (No figure is supplied here, so we cannot judge slopes.)
Answer:
c
Step-by-step explanation:
Chandler rides his bike to school every day. He travels 2,560 feet in 640 seconds. How many feet per second did he travel?
Answer:
4
Divide the number of feet (2560) by how many seconds it took him (640) and the answer is how many feet per second
2560÷640=4
He traveled 4 feet per second
PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.
Answer:
x = 1.73
y = 2.45
z = 1.41
Step-by-step explanation:
1/z = z/2
z^2 = 2
z = sqrt(2)
1^2 + z^2 = x^2
1 + 2 = x^2
x^2 = 3
x = sqrt(3)
z^2 + 2^2 = y^2
2 + 4 = y^2
y^2 = 6
y = sqrt(6)
x = 1.73
y = 2.45
z = 1.41