Simplify the following expression.
(4x + 1)(x - 4)
A.
4x2 - 15x - 5
B.
4x2 + 15x - 4
C.
4x2 - 15x - 4
D.
4x2 - 17x - 4
Answer:
[tex](4x + 1)(x - 4) = 4x( x - 4) + 1(x-4)[/tex]
[tex]=4x^2 -16x +x -4\\=4x^2 -15x -4[/tex]
option C
1) Which choice best represents the height of a box of cereal? A. 30 millimeters B. 30 centimeters C. 30 kilometers D. 30 meters
Answer:
30 centimeters
SHEEEEEEEEEEEEEEEEEEEESH
Kind of easy giving alot points to anyone who knows
Answer:
5 hours
Step-by-step explanation:
Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?
Answer: 20.83
Step-by-step explanation: 44 - 11 2/3 - 11 1/2 = 20.83
Too Easy.
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces
please help. NO LINKS.
Answer:
the answer is A
y= 1.9x + 69
y=6x
The length of a cell phone is 2.2 inches and the width is 4.6 inches. The company
making the cell phone wants to make a new version whose length will be 2.09 inches.
Assuming the side lengths in the new phone are proportional to the old phone, what
will be the width of the new phone?
Answer:
The width of the new phone will be of 4.37 inches.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
In this question:
Length was of 2.2 inches, after the modification is of 2.09 inches.
Width was of 4.6 inches, after the modification is x. So
2.2 - 2.09
4.6 - x
Applying cross multiplication:
[tex]2.2x = 2.09*4.6[/tex]
[tex]x = \frac{2.09*4.6}{2.2}[/tex]
[tex]x = 4.37[/tex]
The width of the new phone will be of 4.37 inches.
plz plz plz plz help me plz it is due in 1 hour and no links plz
Answer:
It is:
B.Divide the area of the triangle by the base and multiply the result by 2.
Can someone help me please
Answer:
It's 2/15
Step-by-step explanation:
What does £ mean in math? Not in currency.
it means mean in statistics. I'm not sure tho..
I WILL GIVE BRAINLEST AND A LOAD OF POINTS
When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?
Answer:
Either 4:1, or 8:1
Step-by-step explanation:
I'll choose 8:1 for now, I'll update this answer if it's correct or not.
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
I don’t know if the answer is 60 or 180 please help
Answer:
b = 120
Step-by-step explanation:
a & b are vertical angles and vertical angles are congruent, thus, a and b are congruent.
=> a = b, a = 120
=> b = 120
Can someone please tell me what is 19x8+80-7?
Answer:
225
Step-by-step explanation:
Select the correct answer from each drop-down menu
What is an equation of the line that passes through the points (4, -1) and
(-8. – 7)?
Answer:
[tex]y = \frac{1}{2} x - 3[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the gradient formula above,
gradient of line
[tex] = \frac{ - 1 - ( - 7)}{4 - ( - 8)} [/tex]
[tex] = \frac{ - 1 + 7}{4 + 8} [/tex]
[tex] = \frac{6}{12} [/tex]
[tex] = \frac{1}{2} [/tex]
Substitute m= ½ into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= -1,
[tex] - 1 = \frac{1}{2} (4) + c[/tex]
-1= 2 +c
c= -1 -2 (-2 on both sides)
c= -3
∴ The equation of the line is y= ½x -3.
Multiply. Round to two decimal places
____ x 14.32 = 554.76
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]_____ x 14.32 = 554.76[/tex]
Let's take '____' as x
[tex]x \times 14.32 = 554.76 \\ x = \frac{554.76}{14.32} \\ x = \frac{554.76 \times 100}{14.32 \times 100} \\ x = \frac{55476}{1432} \\ x = 38.74[/tex]
⎆ The answer of ____ x 14.32 = 554.76 in 2 decimal places will be ⇻38.74
NOTE:
We multiplied the fraction × 100 to remove the decimal points so that it'll be easier to calculate.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
9514 1404 393
Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
Joe drove 80 kilometers per hour for 4 hours. How far did he go?
Step-by-step explanation:
velocity = distance/time taken
distance=velocity ×time taken
distance=80×4
distance=320kilometers
Use the Distributive Property to solve the equation.
3
(8a + 12) = 25.8
4
3.
+ C •12) = 0
4.
a=
(Simplify your answers.)
Answer: a = 2.8
Step-by-step explanation:
3/4 (8a + 12) = 25.8
(3/4 * 8a) + (3/4 * 12) = 25.8
6a + 9 = 25.8
6a = 16.8
a = 2.8
Hope this helped! :)
Answer:
3/4 (8a + 12) = 25.8
(3/4 × 8a) + (3/4 × 12) = 25.8
a = 2.8
Hope this helps and have a AMAZING day :D
Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).
Answer:
Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle
Step-by-step explanation:
thank you
There is a bin of markers.
For every 2 red markers, there are
5 purple markers. Use the table to
represent the ratio of purple
markers to red markers.
THIS IS DUE IN LIKE 5 MINUTES I WILL GIVE YOU BRAIN THING IF ITS CORRECT PLEASE HELP NO LINKS THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT
Answer:
The answer is C.
Step-by-step explanation:
to find the area you need to multiply the width times length, to find the length you need to add the c and 15 and have that mulitplied by 1/5
.
1/5(c+15)
Write the function for the graph.
(1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x
Answer:
[tex]f(x) =3 * (4)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1, y_1) = (1,12)[/tex]
[tex](x_2, y_2) = (0,3)[/tex]
Required
The function of the graph (exponential function)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
For [tex](x_1, y_1) = (1,12)[/tex], we have:
[tex]12 = a * b^1[/tex]
[tex]12 = a * b[/tex]
[tex]12 = a b[/tex]
For [tex](x_2, y_2) = (0,3)[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]
[tex]12 = 3 * b[/tex]
Divide both sides by 3
[tex]4 = b[/tex]
[tex]b =4[/tex]
So, we have:
[tex]f(x) = ab^x[/tex]
[tex]f(x) =3 * (4)^x[/tex]
How many hours in a year?
Answer:
Here is your answer hope it helps u have a great day ahead....
Evaluate m) (x) for x = -3.
=
I
m (-3) =
-2,6,-18,54 find the 12th term
Answer:
354294
Step-by-step explanation:
-2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118098,354294
multiply each number by -3
Someone please help me!!
For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.
Multiply both sides by 12 to get 2y - 1 = 7
Answer:
The first choice
Step-by-step explanation:
Multiplyil by 6 to get 4y - 1 =21
#3 and #4 please. How do you know a sticky note has volume and can you determine the volume of an entire stack by knowing the volume of a single sticky note
Answer:
Step-by-step explanation:
3. A single sticky note is a three-dimensional object. Meaning it has a length, width and height. Therefore, it is taking up space, and anything that takes up space has a volume. If the sticky not did not have a volume then it would not be a three-dimensional object.
4. Yes, if we knew the volume of a single sticky note, then we would simply have to multiply the volume of that individual note by the total number of sticky notes in the pile. This would give us the volume of the entire pile.
Unit 3: Parallel & Perpendicular Lines Homework 5: Linear Equations Slope-Intercept & Standard Form
Directions: Determine if the equations are parallel, perpendicular, or neither.
11. y = -3x + 6 and y = 1/3 x -8
12. y = 5/4 x + 1 and y = 5/4 x - 7
13. 3x + 2y = 6 and y = -3/2 x + 5
14. 3y = 4x + 15 and 9x + 12y = 12
15. 10x - 2y = 16 and x + 5y = -20
16. 5x + 3y = 3 and 3x + 5y = -25
17. -9y = -3x + 18 and 2x -6y = 30
18. x-y = 5 and x + y = -10
11. y = -3x + 6 and y = 1/3 x -8 (perpendicular)
12. y = 5/4 x + 1 and y = 5/4 x - 7 (parallel)
13. 3x + 2y = 6 and y = -3/2 x + 5 (parallel)
14. 3y = 4x + 15 and 9x + 12y = 12 (perpendicular)
15. 10x - 2y = 16 and x + 5y = -20 (perpendicular)
For two equations to be parallel, the slope has to be the same
For two equations to be perpendicular, the product of their slopes must be equal to -1
The equation of a line is the slope-intercept form is:
y = mx + c
where m is the slope and c is the intercept
11) y = -3x + 6 and y = 1/3 x -8
The equations are perpendicular because -3 x 1/3 = -1
12) y = 5/4 x + 1 and y = 5/4 x - 7
The two lines are parallel because they both have a slope of 5/4
13) 3x + 2y = 6 and y = -3/2 x + 5
The equation 3x + 2y = 6 can be re-written as y = -3/2 x + 3
Therefore, the two equations are parallel since they have the same slope of -3/2
14) 3y = 4x + 15 and 9x + 12y = 12
3y = 4x + 15 can be re-written as y = 4/3 x + 5
9x + 12y = 12 can be re-written as y = -3/4 x + 1
The two lines are perpendicular because -3/4 x 4/3 = -1
15) 10x - 2y = 16 and x + 5y = -20
10x - 2y = 16 can be re-written as y = 5x - 8
x + 5y = -20 can be re-written as y = -1/5 x - 4
Both equations are perpendicular since -1/5 x 5 = -1
Learn more here: https://brainly.com/question/11482954
Answer:
Step-by-step explanation: