Answer:
Using the mid-term break formula for all of them.
a) x²+7x+12
= x²+3x+4x+12
= x(x+3)+4(x+3)
= (x+4)(x+3)
b) x²+6x+8
= x²+2x+4x+8
= x(x+2)+4(x+2)
= (x+4)(x+2)
c) x²+5x+6
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x=3)(x+2)
d) x²+8x+7
= x²+7x+x+7
= x(x+7)+1(x+7)
= (x+1)(x+7)
Answer:
a) the middle number is seven and the last number is 12
factorising means we want something like (x + ___) (x +__)
Which number go into the blanks?
we need 2 numbers that add together to get 7 multiplied together to get 12.
3 + 4 is equal to 7
3x4=12
Answer:
(x+3)(x+4)
b) the middle number is 6 and the last number is 8
Factoring means we want something like
(x+___)(x+___)
which number go to the blanks?
We need two numbers that add together to get 6 and multiply together to get 8
2+4=6
2x4=8
Answer:
(x+2)(x+4)
c) the middle number is 5 and the last number is 6
we need two numbers that add together to get 5 and multiply together to get 6
2 + 3 is 5 and 2 x 3=6
Answer:
(x+2)(x+3)
Answer:
d) (x+1)(x+7)
A
If the radius of the smallest circle is 3, find its area
Answer: [tex]9\pi[/tex]
Step-by-step explanation:
Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9
Identify the polynomial. x3y3
Answer:
It's a Binomial
Step-by-step explanation:
Ran's doctor is monitoring his heart rate. The equation h=65t represents the relationship between the number of beats of his heart (h) and the number of minutes that have passed (t). If 120 seconds have passed, how many times has his heart beat?
Answer:
130 times
Step-by-step explanation:
If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130
josue earned $56.25 fixing a coding issue with a popular website.it took him a total of 4.5 hours to fix the issue.The equation 4.5x=56.25 can be used to find Josue hourly rate.What is Josue hourly rate?
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression o represent Alan’s weight in terms of Dylan’s weight.
Answer:
2x+3
Step-by-step explanation:
2x+3=Alan's Weight
2x= Dylan's weight times two
+3= the plus three more pounds
Which then equals Alan's weight.
What number is the arrow point at?
Answer:
see below
Step-by-step explanation:
The lines in between 2 and 3 are splitting it up into 5ths and because the arrow is pointing to the fourth one the answer is [tex]2\frac{4}{5}[/tex].
1
Manny tosses a dime 500 times, and it lands on heads 325 times.
What is the theoretical Probability the the dime lands on tails?
(10 Points)
2/3
250/500
o 1/2
13/20
Answer:
7/20
Step-by-step explanation:
He tosses the dime 500 times and it lands on heads 325 times.
There are only two possibilities in a coin toss: Head or tails
This means that it lands on tails:
500 - 325 = 175
The theoretical probability of the dime landing on tails is:
175 / 500 = 7/20
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?
Answer:
32
Step-by-step explanation:
2b+6=70
-6=70-6=64
[tex]\frac{2b}{2}[/tex]=64÷ 2
b=32
beaten it's a visable line beween the equal line
A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).
What are the coordinates of the point where the two lines intersect?
Answer:
P(-4,-8)
Step-by-step explanation:
Given two lines:
[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]
To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).
[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]
Therefore, the intersection point P of the lines is: P(-4,-8)
Which are correct representations of the inequality...
Answer:
[tex]-6x+15<10-5x[/tex]
Step-by-step explanation:
[tex]-3(2x-5)<5(2-x)[/tex]
Distribute.
[tex]-6x+15<10-5x[/tex]
Add 5x and subtract 15 on both sides.
[tex]-6x-5x<10-15[/tex]
[tex]-1x<-5[/tex]
Multiply -1 on both sides.
[tex]x>5[/tex]
Answer:
its c the third equation and d the first graph.
Step-by-step explanation:
Can someone plz help me
Answer:
33%
Step-by-step explanation:
- The area of the inner white circle is π4² = 16π
- The area of the blue "band" is π7² - π4² = 33π
- The total area is π10² = 100π
The ratio of the blue band and the total area is 33π/100π ×100% = 33%
Gizela teaches 5 yoga classes that are each 3/4 hour. Use the drop down menu to complete the equation below to find the number of hours Gizela teaches yoga
5 classes _______ 3/4 hour per class = / hours
Answer:
3.75 hours (3 hours and 45 minutes)
Step-by-step explanation:
5 times 3/4 = 3.75
Need help with this question
Answer: 30
Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900
[tex]\sqrt{900}[/tex]
30
30 = c
I hope this helps!
What is the value of i^n if the remember of n/4 is 2
Answer: 1
Step-by-step explanation:
If n/4 = 2, then n = 8
[tex]i^8 = i*i*i*i*i*i*i*i\\i*i=-1\\i^8=(-1)(-1)(-1)(-1) = 1*1 = 1[/tex]
Olive's Pizza Kitchen has a new oven that is shaped like a rectangular prism. Inside, the oven is 5 feet wide and 5 feet deep so it can bake their super large pizzas. It is also 3 feet high. What is the oven's volume?
Answer:
The volume of the oven is 75 ft^3
Step-by-step explanation:
Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.
Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.
Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2
Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3
Please help!
Does this represent a linear function, non-linear function, or no function?
Answer: It would represent a linear function.
Step-by-step explanation:
Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.
PLEASE HELP ME WITH THIS FAST FOR BRAINLIEST!
Answer:
Correct answer = 20 miles
Step-by-step explanation:
The mistake she made was that she made was that she multiplied the amount with 3 instead of dividing it.
The incorrect way -
$60 = 3 × 60 = 90 (Her multiplication is also incorrect as 3 × 60 = 180)
Corrected method -
$60 = [tex]\frac{60}{3}[/tex] = 20 miles
Hope you understood. Please mark my answer as the brainliest.HELPPPPP PLZZZ
2) Tom can paint a fence in 12 hours. Huck can paint the same fence in 10 hours. How long would it take to put two coats of paint on the fence if Tom and Huck work together? Answer as an improper fraction, then round to 1 decimal place.
3) Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
4) Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1st answer
Step-by-step explanation:
Another way to say 2 coats is
to paint the fence twice
Also, that is the same as painting
2 identical fences
---------------
Tom's rate is:
+1%2F8+ = ( 1 fence ) / ( 8 hrs )
Huck's rate is:
+1%2F5+ = ( 1 fence ) / ( 5 hrs )
---------------------------
Let +t+ = the time in hrs for them
to paint 2 fences
+2%2Ft+ = ( 2 fences ) / ( t hrs )
---------------------------
+1%2F8+%2B+1%2F5+=+2%2Ft+
Multiply both sides by +40t+
+5t+%2B+8t+=+80+
+13t+=+80+
+t+=+6.154+
It will take them 6.154 hrs
2) They together will take 10.9 hrs or 120/11
3) josh will take 21/11 hrs or 1.9 hrs
4) Together they will take 36/13 or 2.8 hrs
Solutions to the above problem2) Tom takes = 12 hrs
Huck takes= 10hrs
We can aaply unitary method
together they will take= 1/12+1/10=2/t
11t=120;
t=120/11 or 10.9 hrs
3) Together kim and josh can clean the house together in = 3 hrs
Kim takes = 7hrs
Josh will take= 1/7+1/x=2/3
3x+21=14x
21=11x
x=21/11 or 1.9 hrs
4) Jack makes baseball grounds in= 2 hrs
Mike takes= 3 hrs
Chris takes= 4 hrs
Together they will take= 1/2+1/3+1/4=3/x
13x=36
x=36/13 or 2.8 hrs
To learn more about Unitary method refer to:
https://brainly.com/question/19423643
#SPJ2
solve the following simultaneous linear+y=3and3x-y=1
Answer:
x= 4/3 and y=3
If v varies directly as w, and v=24 when w=8, find the equation that relates v and w.
Answer:
v = 3w
Step-by-step explanation:
Given that
v ∝ w
The, v = k w ---------------(1)
Where k is the constant of proportionality
Now, v = 24, w = 8
Putting in (1)
24 = k(8)
Dividing both sides by 8, we get
k = 3
Putting k =3 in (1)
v = 3w
This is the required equation connecting both
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2 or 0.5
Step-by-step explanation:
since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
can someone help and explain
Answer:
12 4/3 =40
Step-by-step explanation:
I hope that help u
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
NEED HELP
Step-by-step explanation:
I DON'T KNOW?
How do I do this 3x + 5.2 = 2 - 5x
Answer:
x = -.4
Step-by-step explanation:
3x + 5.2 = 2 - 5x
Add 5x to each side
3x+5x + 5.2 = 2 - 5x+5x
8x +5.2 = 2
Subtract 5.2 from each side
8x +5.2 - 5.2 = 2-5.2
8x = -3.2
Divide each side by 8
8x/8 = -3.2/8
x = -.4
Answer:
x= -0.4
Step-by-step explanation:
3x+5.2=2-5x
Add 5x to both sides
8x+5.2=2
Subtract 5.2 from both sides
8x= -3.2
Divide both sides by 8
x= -0.4
I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.
The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Elm and Oak stations. Write your answer to the nearest tenth of a mile.
Answer:
4.5 miles
Step-by-step explanation:
On the graph,
Elm station is located at (-3,-6)Oak station is located at (-1,-2)We use the distance formula to find the distance between Elm and Oak.
[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]
A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Answer:
b
Step-by-step explanation:
edge2020
It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4
Answer:
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Step-by-step explanation:
We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:
[tex]y = a*x[/tex]
The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:
[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5
Answer:
Step 4
Step-by-step explanation:
Given: Steps used by Shelly to evaluate the expression
To find: step that includes Shelly's mistake
Solution:
According to PEMDAS,
P denotes Parentheses
E denotes Exponents
M denotes Multiplication
D denotes Division
A denotes Addition
S denotes subtraction
Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]
In step 4, first subtraction operation has been applied before the division operation.
There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.
Answer:
Step 4 is correct for plato
Step-by-step explanation:
-20 divided by 4.
For each pair of congruent triangles, name the corresponding parts then complete the congruence statement
Answer:
First one
Step-by-step explanation:
Hello, i would love help since math is my worst subject ;
Answer:
4,5,6
Step-by-step explanation:
(x)+(x+1)+(x+2)= 15
3x + 3 = 15
3x = 12
x = 4
Answer:
Three consecutive numbers are: 4, 5, 6,
Step-by-step explanation:
Let three consecutive numbers be x , (x +1) , (x +2 )
x + x + 1 +x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Three consecutive numbers are: 4, 5, 6,