Answer:
42
Step-by-step explanation:
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .
Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
Bridget's Café has a regular coffee decaffeinated coffee . This morning the cafe served 80 count coffee’s and all 48 which were regular what percentage of a coffee were regular
9514 1404 393
Answer:
60%
Step-by-step explanation:
Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...
48/80 × 100% = 60%
60% of the 80 coffees served were regular.
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this
information, which representation best shows this relationship between the number of toys
Rudolfo has in his toy box, y, and the number of months that have passed, x?
Answer:
G
Step-by-step explanation:
(x)0 months: (y)15 toys, 1:17, 2:19, 3:21, 4:23, 5:25, 6:27, 7:29, 8:31, etc.
The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month.
Let x be the number of months and y be the total number of toys. Then the equation is given as,
y = 2x + 15
The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.
More about the linear equation link is given below.
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The area of a rectangle is twice the area of a square. If the rectangle is 6 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.
Answer:
Dimension of rectangle = 6 inches by 3 inches
Dimension of square = 3 inches by 3 inches
Step-by-step explanation:
Given information:
- Length of rectangle = [tex]6[/tex] inches.
- Width of rectangle is the same as the side length of square.
- Area of rectangle is twice the area of square
Variable to define:
Let [tex]s[/tex] = side length of the square and the width of the rectangle
Finding dimensions of rectangle and square:
From the information given, we can write the equation:
[tex]6s=2s^2[/tex] (Area of rectangle is twice the area of square)
[tex]6=2s[/tex] (Divide [tex]s[/tex] on both sides)
[tex]s = 3[/tex] inches
Dimension of rectangle = length by width
= 6 inches by 3 inches
Dimension of square = side by side
= 3 inches by 3 inches
Hope this helps :)
please help thanks in advance also best answer get's brainlest
Answer:
angle t is 55 degrees
Step-by-step explanation:
Here's my work:
Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110
110/2=55 (two because those are the two angles associated with the equal sides)
I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWERS!!
Alex was biking along a 48 mile trail. First half of the time he was biking twice as fast as the second half of the time. If he spent 4 hours on the road, how fast was he biking at first?
Answer:
The speed in the first part is 16 mph.
Step by step explanation:
The total distance is 48 miles. The total time is 4 hours.
In the second part of the trip, he was traveling at speed s for distance d for 2 hours.
In the first part of the trip he was traveling
at twice the speed, or 2s, for distance 48 - d, for 2 hours.
speed = distance/time
distance = speed * time
First part of trip:
48 - d = 2s * 2
d + 4s = 48 Equation 1
Second part of the trip:
d = s * 2
d = 2s =
Equation 2
Equations 1 and 2 form a system of equations in two unknowns, d and s.
d + 4s = 48
d = 2s
Substitute 2s for d in equation 1.
2s + 4s = 48
6s = 48 =
s=8
The speed in the second part is 8 mph.
The speed in the first part is 2s = 2(8) =
16.
The speed in the first part is 16 mph.
Check:
d = 2s = 2(8) = 16
48 - d = 48 - 16 = 32
The second part is 16 miles. The first part is 32 miles.
16 miles at 8 mph takes 2 hours.
32 miles at 16 mph takes 2 hours.
2 hours + 2 hours = 4 hours.
Our answer is correct.
Answer: The speed in the first part is 16 mph.
How do you find the run between two points? Can the rise be negative? Explain
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
(3x + 3x²) + (2x² + 2x)?
Answer:
=5x2+5x
Step-by-step explanation:
Let's simplify step-by-step.
3x+3x2+2x2+2x
Geometry help I need the statements and reasons
help a girl outt!! pleasseee answer asapppp:)) will mark brainliest
Answer:
ok
Step-by-step explanation:
Evaluate g(x)=4 -3x when x=-3,0, and 5
Answer:
-11
Step-by-step explanation:
16
Jamar skis down Mount Spalding at a constant rate. After skiing for two minutes, Jamar is at an elevation of 2,100 feet. After skiing for 5 minutes, Jamar is at an
elevation of 150 feet. What is the rate of change, in feet per minute, of Jamar's elevation?
A-700
B
-650
С
650
D 700
8 = r³
r = ?
Please......
Final Answer: [tex]r = 2[/tex]
Steps/Reasons/Explanation:
Question: [tex]8 = r^{3}[/tex]. [tex]r[/tex] = ?
Step 1: Take the cube root of both sides.
[tex]\sqrt[3]{8} = r[/tex]
Step 2: Calculate using a calculator.
[tex]2 = r[/tex]
Step 3: Switch sides.
[tex]r = 2[/tex]
~I hope I helped you :)~
will mark you as BRAINLIEST
Answer:
11^-2 = 0.0082644628
11^-1 = 0.0909090909
11^0 = 1
11^1 = 11
11^2 = 121
6th grade math i mark as brainliest
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.
HELP HELP PLEASE IMPORTANT
Answer:
2010
Step-by-step explanation:
1/2(24)(20)=240
50*45=2250
2250-240=2010
Which of the following represents the GCF of 98 ab 3 and 231 a 3 ?
7 a
7 a 3
7
7 a 3b 3
Answer:
7a
Step-by-step explanation:
we know this, because there is no b in the second polynomial. Therefore, there cannot be a b in the answer. There is also no b^3 in the second polynomial, so there cannot be a ^3
If x = 4 and y = -2, the value of 3 xy?
Answer:
-24
Step-by-step explanation:
Answer: -24
Step-by-step explanation:
3xy
3(4)(-2)
12(-2)
-24
If the relative frequencies are 0.48 and 0.52, which
conclusion is most likely supported by the data?
O There is likely an association between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are not similar in value.
O There is likely an association between the
categorical variables because the relative
frequencies are both close to 0.50.
Answer:The Last One
Step-by-step explanation:
Option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.
What is relative frequency?The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted. The sum of all relative frequencies will be one.
For the given situation,
The relative frequencies are 0.48 and 0.52.
A two-way frequency table can be used to show, analyze, and examine the relationships that exists between two categorical variables.
The two relative frequencies have the values that are similar to (close to) each other. So, there will be no association between the categorical values.
Hence we can conclude that option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.
Learn more about relative frequencies here
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A book publisher counted the words on each page of a series of books. They found that the number of words per page followed a normal distribution with a mean of 265 words and a standard deviation of 25 words.
What percentage of the pages contain fewer than 215 words?
Answer:
The answer is 2.5%
Step-by-step explanation:
Took test on edmentum and made 100%.
2.2% percentage of the pages contain fewer than 215 words.
The normal distribution is defined as a probability distribution that is symmetric about the mean, indicating that data close to the mean are more systematic in occurrence than data distant from the mean. In pictorial form.
The number of words per page in the book is normally distributed, Normal distribution is given as,
[tex]z = \frac{x-\mu}{\sigma}[/tex]
Where, x = number of words per page., µ = mean, σ = standard deviation
From given, µ = 265 words , σ = 25 words
Probability for the number of pages in the book is less than 265 words,
P( x < 215)
For, x = 25,
z = (215-265)/25 = -2
From the normal distribution table, the probability of the z score is 0.022
The percent of pages in the book that are less than 215 words in length is 0.022 × 100 = 2.2%.
Thus, 2.2% percentage of the pages contain fewer than 215 words.
Learn more about Normal distribution here:
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J.T has twelve songs on his playlist. Ken has five times as many. How many songs does Ken have on his playlist?
Answer:
60 Songs
Step-by-step explanation:
12 * 5= 60
Plz help fast answer
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
Please help!!!!! will mark brainliest
Answer:
It should be B- an=3n+1 because it seems to be adding one every time
Step-by-step explanation:
Answer:
We will count number of squares
first term is 4
so,
second term is 7
so,
third term is 10
so,
We can see that this sequence is in arithematic sequence
we can use nth term formula
where
an is nth terms
a1 is first term
d is common difference
n is total number of terms
now, we can plug values
and we get
b 3n+1
Step-by-step explanation:
Select three ratios that are equivalent to 7: 6.
Answer:
ratio number 1- 14:12
ratio number 2- 21:18
ratio number 3- 28:24
Original Tv cost 700 Current Tv cost 500 find the percent of decrease
Answer:
200 is the decrease ............
Answer:
the percent of decrease=28.57%
Step-by-step explanation:
(Old Price - New Price)/Old Price (and multiply that number by 100)
[(700-500)/700]*100=28.57%
Determine the amount of the semi-annual coupon for a bond with a face value of ₱ 300,000 that pays 10%, payable semi-annually for its coupons.
Answer:
Copuon= $15,000
Step-by-step explanation:
Giving the following information:
Face value= $300,000
Coupon rate= 10%
First, we need to determine the semiannual coupon rate:
Semiannual coupon rate= 0.1/2= 0.05
Now, the coupon using the following formula:
Copuon= face value*coupon rate
Copuon= 300,000*0.05
Copuon= $15,000
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
Answer:
Let's represent pink flowering plants with the variable p:
8p + 5(15 - p) = 96
8p + 75 - 5p = 96
3p = 21
p = 7
Step-by-step explanation:
Arianna bought 7 pink flowering plants
Answer:
B) 7
Step-by-step explanation:
took the test on edg
please answer!! Is due tmrrw! WILL GIVE BRAINLIEST! :)
Answer
division
Step-by-step explanation:
i barely know division
Answer:
N - 45
O - 77
P - 125
Q - 113
R - 120
S - 136
T - 149
U - 216
V - 343
4 • 7 – 6 2 ÷ 3 also show your work
Answer:
7 1/3
Step-by-step explanation:
Lets do this in steps ok? K!
Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!
Step 1-- 4 x 7=28
Step 2-- 62 divided by 3 = 20 2/3
Step 3-- 28- 20 2/3
Step 4-- 27 3/3 - 20 2/3= 7 1/3
Hope this helps ∞<3
Answer:
[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]
[tex]4\cdot7[/tex] = [tex]28[/tex]
[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]
[tex]28-62[/tex] = [tex]-34[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
pleaseee help I will make you the brainiest.