Answer:
15x^2 + 14x - 8
Step-by-step explanation:
Use the FOIL Method.
(3x + 4) (5x - 2)
1. First: 15x^2
2. Outside: -6x
3. Inside: 20x
4. Last: -8
5. Put Together: 15x^2 - 6x + 20x - 8
6. Simplify: 15x^2 + 14x - 8
What is the value of x?
Answer:
3
Step-by-step explanation:
is anyone have the answer to 9,576,984.9874 x 98.84
Answer:
946589196.155
Step-by-step explanation:
Hope that helps
Please help !!!!!!
Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.
Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!
Answer:
1. How many packages are delivered each hour.
2. Find the correlating variable on the graph.
3. 105 packages
4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.
choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)
Answer:
ACEStep-by-step explanation:
✓ A. (0, 0) [y < 3x + 2 → 0 < 2]
× B. (0, 2) [y < 3x + 2 → 2 < 2]
✓ C. (1, 4) [y < 3x + 2 → 4 < 5]
× D. (1, 7) [y < 3x + 2 → 7 < 5]
✓ E. (2, 6) [y < 3x + 2 → 6 < 8]
× F. (2, 8) [y < 3x + 2 → 8 < 8]
2
2. This system of equations has : y = -2x
y = -2x + 1
A. One Solution
B. Infinitely Many Solutions
C. No Solutions
Answer:
C. no solutions
Step-by-step explanation:
Both equations have a slope of -2, but have different y-intercepts. Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect. So, there are no solutions
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval
Answer:
The answer is "It would decrease, but not necessarily by 8%".
Step-by-step explanation:
They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.
There are 60 boys in the third year, 24 of whom study chemistry. What percentage of third year boys study chemistry.
Answer:
40%
Step-by-step explanation:
24/60 = .4
Answer:
40%
Step-by-step explanation:
Divide the total by the amount possible.
Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?
Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
18 is 4.5 times a number.
The value of x is equal to 4, that is 4.5 times 18 is 4
Given that the expression:
18 is equal to 4.5 times a number.
Assume that the number be x.
To find the number that is 4.5 times 18, we can set up the following equation:
4.5 × x = 18
Now, to find the value of x, divide both sides of the equation by 4.5:
4.5 × x / 4.5 = 18 / 4.5
x = 18 / 4.5
x = 4
So, the number that is 4.5 times 18 is 4.
Learn more about Divided here:
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plz help me illl give brainlist 5.0 and thanks plz help rn !!!
Answer:
4+4+1
Step-by-step explanation:
Answer:
4 + 4 + 1
Step-by-step explanation:
4 + 4 + 1 = 9
4 + 5 = 9
They both equal up to 9
1. Which of the angles below are supplementary?
Answer:
<3 and <4
Step-by-step explanation:
You are playing a game using this spinner. You get one spin on each turn. Provide a probability model.
Answer:
THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!
Step-by-step explanation:
Answer:
1:4 is the ratio
Step-by-step explanation:
2:8 simplified is 1:4
not sure if this is exactly the right answer but I hope it helps
The green parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?
A) 1/3
B) 1/2
C) 2
D) 3
=============================================================
Explanation:
"The green parallelogram is a dilation of the black parallelogram"
This tells us that the preimage is the black parallelogram and the image is the green one.
In short, the mapping is [tex]\text{black} \to \text{green}[/tex]
The image is smaller than the preimage (green is smaller than black), indicating the scale factor is some value of k such that 0 < k < 1. We can rule out choices C and D because of this.
--------------------
Measuring along the top, we can see that the black parallelogram goes from x = -6 to x = 8. Check out the image shown below where I've marked your given diagram, adding on helpful lines to show this going on.
The number-line distance from x = -6 to x = 8 is 14 units, so the top side of the black parallelogram is 14 units long.
The corresponding top side of the green parallelogram is 7 units long (because it spans from x = -3 and x = 4; as shown in blue in the figure below).
Divide the image length over its corresponding preimage length to get the scale factor.
scale factor = (image length)/(preimage length)
scale factor = 7/14
scale factor = 1/2
which points to choice B as our final answer.
Answer:
THE ANSWER IS C)2
Step-by-step explanation:
I GOT IT WRONG CUZ THIS DUDE ABOVE MEEE
(im big mad)
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
Need help finding the length of AC
Answer:
I would have to say that the length of AC is 22.5
I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.
I. The location of each vertex on a coordinate plane
II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.
So, by AAS criteria it would be congruent.
---------------------------
hope it helps...
have a great day!!
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
hope it helps you...
Daniel placed $2,500 in a one-year time deposit (CD) with a 2.7% annual interest rate. Approximately how much interest will Daniel earn at maturity?
Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?
Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd
Answer: 7.1 yd
Step-by-step explanation:
the formula for arc length is 2πr(x/360), x being the central angle
input the values, so the equation would be 2π9(45/360), which equals 7.1
Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=
Answer: 15.64
Step-by-step explanation:
kahn
what is 6 divided by 1/4
Answer:
24
Step-by-step explanation:
6 / 1 / 4 =
6 x 4 =
24
Answer:
6 divided by 1/4 is 24
Step-by-step explanation:
Find the Volume (look at the picture)
Answer:
V ≈ 263.9 units³
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here r = 6 and h = 7 , then
V = [tex]\frac{1}{3}[/tex] π × 6² × 7
= [tex]\frac{1}{3}[/tex]π × 36 × 7
= [tex]\frac{1}{3}[/tex]π × 252
= 84 π
≈ 263.9 units³ ( to 1 dec. place )
Find the volume of the prism
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on
Step-by-step explanation:
I haven’t done this since 7th grade sorry I just don’t remember
Please answer the following question:
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
Marcus is choosing 4 books to read from a list of 15 books. If order matters, how many ways can he choose to read the books?
4
32,760
23,760
60
Answer:
32,760
Step-by-step explanation:
Given :
Since the order matters, we use the permutation relation :
Recall :
nPr = n! ÷ (n - r)!
n = 15 ; r = 4
15P4 = 15! ÷ (15 - 4)!
15P4 = 15! ÷ 11!
15P4 = (15 * 14 * 13 * 12)
15P4 = 32,760