[tex] \bold{answer \: \: \to} \\ 1\frac{1}{2} \times \frac{2}{6} \times \frac{6}{1} + 4 = \\ = \frac{3}{2} \times \frac{1}{3} \times \frac{6}{1} + 4 \\ = \frac{3}{6} \times \frac{6}{1} + 4 \\ \ = \frac{18}{6} + 4 \\ = 3 + 4 \\ = \boxed{ \bold{7}}[/tex]
Find the slope of the line through each pair of points. (5, −5) (0, −1)
Answer:
slope = - [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-(-5)}{0-5}[/tex] = [tex]\frac{-1+5}{-5}[/tex] = [tex]\frac{4}{-5}[/tex] = - [tex]\frac{4}{5}[/tex]
what are the zeros of the function of y=x^2-3x+2
Answer:
1 and 2
Step-by-step explanation:
Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )
y=x^2-3x+2
(we substitute y with zero)
0 = x^2-3x+2
or in other way
x^2-3x+2 = 0
Then we factor out the function by using the grouping method
(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)
and these two numbers are -2 and -1
x^2-3x+2 = 0
*Substitute the middle term with -x-2x
x^2-x-2x+2 = 0
*factor out x , then factor out -2
x(x-1)-2(x-1) = 0
*factor out x-2
(x-2)(x-1)=0
Either
x-2 = 0
So
x = 2
Or
x-1 = 0
So
x = 1
in conclusion the zeros of this function is 1,2
nth term of 5,8,13,20,29
Answer:
nth term = 4 + n^2
Step-by-step explanation:
Sorry if the answer is long but I'm hoping my explanation can help.
In order to understand the issue, we should try to find the pattern between the terms given.
The terms given were 5, 8, 13, 20 and 29.
Between the first term and second term, the difference is 3.
Between the second and third term, the difference is 5.
The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is
2n - 1.
Hence, we can determine the pattern of the numbers is
nth term = (n-1) term + 2n - 1
We can use this to find term 0 (before term 1) by plugging in the values for term 1
5 = 0th term + 2 (1) - 1
5 = 0th term + 1
Hence the 0th term = 4
If we expand on the summation,
We can find the nth term
nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1
As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.
We can rewrite it as
nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n
Now, we will move 4 and n to one side.
nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n
We can factorize 2 out from every term to the right of -n. This would give out
nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)
The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.
The triangular formula is stated such that
Tn = (n*(n+1))/2
This heavily simplifies the equation into
nth term = 4 - n + 2 [(n*(n+1))/2]
This equation becomes
nth term = 4 - n + n^2 + n.
Now, we can finally simplify into the final equation
nth term = 4 + n^2
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle
Answer:
7 minutes
Step-by-step explanation:
average time = 6 minutes per mile
sum = average * count = 6 minutes / mile * 4 miles = 24 minutes
first + last mile = 5 + 5 = 10 minutes
first + second + third + last mile = sum = 24 minutes
second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes
average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes
Noah drove 480km in 5 hours. About how far did he drive in 2 hours?
Answer:
192km
Step-by-step explanation:
480/5 = x/2
5x = 960
/5 /5
x = 192
Answer:
If Noah's driving was at a constant rate, he drove 192 km in 2 hours
Step-by-step explanation:
In order to find the answer to this question then we can set up two equations with x meaning the km/h he is going and y as our answer.
Noah drove 480km in 5 hours can be set up as:
480 = 5x
Dividing both side by 5:
x=96
and we want to find the number of km he drove in 2 hours:
y = 2 x
because we know x=96 from the first equation
y = 196 so, therefore, Noah drove 192 km in 2 hours
please help i need now
thank youu
Answer:
B
Step-by-step explanation:
if you cannot recognize the right equation, just start evaluating some points... try 5, 6, 4
Jake earns $9.85 per hour working at a software company. He wants to earn at least $300 a week. How many full hours must he work to earn the money?
Answer:
30.4 hours
Step-by-step explanation:
300 divided by 9.85
This gives you 30.4
How can you represent a proportinoal relationship with an equation
Answer:
Just be yourself
Step-by-step explanation:
heres a list of numbers 8,7,12,7,11,10,7,12Find median,mean,range and mode
Answer:
There it gose
Step-by-step explanation:
As a car owner/lessee, it is not a requirement to have minimum coverage auto insurance.
T or F
Answer: False
Step-by-step explanation:
i know the pythagorean theorem
Answer:
I know the pythagorean theorem
Step-by-step explanation:
ok
-4.67 + (5.24 –
) – (
+ 7.98) = 13.26
Answer:
6
Step-by-step explanation:
Help me please tha is a practice but is I pass it will make me not fail math
Answer:
x = 21 The angles are 85°, 58°, 69°, and 148°
Step-by-step explanation:
The sum of the interior angles of a 4 sided figure formula :
Sum of the interiors = (n - 2) 180°
Sum of the interiors = (4 - 2) 180
Sum of the interiors = (2)180° = 360°
Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°
213 + 7x = 360
7x = 360 - 213
7x = 147
x = 21 the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°
Answer:
The degrees inside the quadrilateral are 85, 148, 69, and 58.
Step-by-step explanation:
The interior of the quadrilateral equals 360 degrees.
All the degrees inside need to add up to 360. You need to find out what x is so you can do that.
First, add all the degrees you know, then solve for x.
85 + 69 = 154.
Now, add in the other angles.
154 + (6x + 22) + (x + 37)
Add like terms together.
154 + 22 + 37 = 213 degrees 6x + x = 7x.
7x + 213 needs to equal 360.
Subtract 213 from both sides to get 7x alone.
7x = 360 - 213
7x = 147
Now, you need to solve for x. You do this by dividing both sides by 7.
7x/7 = 147/7
x = 21
To find the degrees of the two unknown angles, substitute 21 back in where x is.
6(21) + 22 = 126 + 22 = 148
and 21 + 37 = 58
85 + 148 + 69 + 58 = 360 degrees.
Solve: 67 x 104. 67,000 6,700 670,000 6,700,000
Answer: 67 x 104 = 6968
Step-by-step explanation:
Answer:
7303
Step-by-step explanation:
I just calculated 67x109 and it gave me 7303
HOPE THAT HELPS YOU MARK ME BRINILYLIST
Mr. Jones spent $156 to attend a college football game.
- Twenty percent of this cost was for a parking pass.
- He spent the remainder of the money on two tickets for the game.
What was the price per ticket?
Answer: $62.40
Step-by-step explanation:
what is 20% of 156 ? 31.20
what is 156 - 31.2 ? 124.80
what is 124.8 / 2 ? 62.40
each ticket cost 62.40 dollars
solve similar triangles (advanced)
Answer:
Step-by-step explanation:
There are 2 similar triangles.
EDA and CBA
From that we can get the following proportion.
ED / CB = AD / AB
Filling in the letters we get
6/x = (4 + 3)/3 Combine
6/x = 7/3 Cross Multiply
7x =6*3
7x = 18 Divide by 7
x = 2.57
Given below, if Xy and are congruent, what is the measure of
A. 140°
B. 280°
C. 100°
D. 80°
(it’s A. 140°)
Answer:
holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho
At the end of the day, a bakery had 6/7 of a pie left over. Louie, Duey and Huey split the pie, with each taking home the same amount of leftover pie. How much pie did Louie take home?
Answer:
2/7 of the pie
Step-by-step explanation:
6/7 / 3 = 2/7
What is 1+1 equal? Explain in paragraph form! 5 or more sentences!
Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →
(x+ 3. y -5)
D = (7, -9)
E = (8, -10)
hope this helps!
plssssssssssssssssssssssss
Y = x^2 -3
y = (x-3)(x+3)
For x-intercepts, y = 0
Therefore (x-3)(x+3) = 0
x intercepts are (3,0) and (-3,0)
The line of symmetry is x = 3+(-3) = 0
Vertex is on the line of symmetry
When x = 0, y = -1
Vertex = (0,-1)
Answer:
The answer is equal to 0
Step-by-step explanation:
Explanation in the picture.
How many solutions does this system have?
y=2/3x + 32x - 3y = -9
A. One Solution
B. Two Solutions
C. No Solutions
D. Infinitely Many Solutions
Answer:
No solutions since they are two variables and it supposed to be solved simultaneously
In how many ways can you arrange six trophies on a shelf?
Answer:
720 ways
Step-by-step explanation:
Assuming order doesn't matter, there are [tex]6!=6*5*4*3*2*1=720[/tex] ways to arrange six trophies on a shelf.
The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5
Answer:First option, y=f(x+3)+5
Step-by-step explanation:
analyse the transformation first
From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 unitsInput transformation
In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5Final answer, when all values are added is y=f(x+3)+5
Use the figure below to determine the relationship between _DBE and BED
Solve.
4 Joe solved (2x + 4) > 2(2x + 8) + 1 as shown at the
right. What error did Joe make? Solve the inequality.
(8)
Answer:
Step-by-step explanation: 2x+4+=
an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?
Answer:
2
Step-by-step explanation:
If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!
There are 40 slices of pizza at the party that are shared equally between 8 people. Peter ate 3 slices of pizza before he came to the party. How many slices of pizza did Peter eat in all?
Answer:
that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not
Answer:
he ate 5 slices
Step-by-step explanation:
40/8=5 you would thinks you are timeing the answerPlease help it’s due in an hr
Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5
y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.
math #lollololollollol
Answer:
the answer is 2
Step-by-step explanation: