Answer:63
Step-by-step explanation:
If f(x)= x2 - 4x - 4, find the input values that make the function 0.
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
Write the equation through (2,5) parallel to the line through (8,0) and (0,8)
Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
Determine the decimal equivalent of 5 over 8
Answer:
3.125
Step-by-step explanation:
We know that
258
is the same as
25÷8
Then using
Long Division for 25 divided by 8
and rounding to a Max of 3 Decimal Places gives us
=3.125
I watch television from 5 o clock until half past. How long do I watch for?
Answer:
5:30
Step-by-step explanation:
Important info:
watch television from 5 o clock until Half Past.
Question to Answer:
How long did you watch.
Note:
Half of 1 Hour = 30 Minutes
Solution:
5:30
Therefore You watch television until 5:30
How many solutions does this equation have?
–2b − 9 = –b
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
Martin bikes at a constant speed to a finish line that is 15 mi away. After 20 mins, he is 10 mi from the finish line. After 30 mins, he is 7.5 mi from the finish line. If a graph shows his distance y from the finish line, in miles, after x minutes, what
Is the slope of the graph, and What does it represent?
A 15; Martin's initial distance
from the finish line
B 15; Martin's final distance from the finish line
C -0.25; the rate at which
Martin's distance from the
finish line changes per minute
D 0.25; the rate at which Martin's distance from the start line changes per minute
The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute
Write x² + 4x +5 in the form (x + a)² +b where a and b are integers.
Answer:
this is your answer
Step-by-step explanation:
This is you answer
Answer:
Complete the square
Step-by-step explanation:
Could y’all help me out with this?
Answer:
M' (5,-1)
D' (5,1)
A' (3,4)
W' (4,-1)
Step-by-step explanation:
We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
Explanation of rule: Simply swap the places of the x and y values.
Applying rule to given coordinates:
M(-1,5) -----> swap x and y values -----> M'(5,-1)
D(1,5) ----> swap x and y values -----> D'(5,1)
A(4,3) -----> swap x and y values -----> A'(3,4)
W(-1,4) -----> swap x and y values -----> W'(4,-1)
So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)
For more validation, refer to the attached image
can someone teach me how to do this?
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
1+1 pls omg its impossible
Answer:
it equals 11 haha !
Step-by-step explanation:
have a great day/night :)
Answer:
2
Step-by-step explanation:
1 + 1 = 2
This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.
-13x6-(68+3)
54-(-87x45)
75+-31
Answer:
If they are seperate, then it is
-149
-3,861
106
If that is a whole equation, then the answer is
-297,506
Answer:
-13x6-(68+3)= -149
54-(-87x45)= -3969
75+31=106
Step-by-step explanation:
Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).
Valery increases her speed by 4% the next time she rides her bike. Her goal is to ride faster than Manuel.
Is the 4% increase enough to ride faster than Manuel? yes or no.
As part of your explanation, identify Valery's new speed. Then explain why or why not she met her goal.
Answer:
9.984, can't tell.
Step-by-step explanation:
9.6 increased by 4% is
9.6 * 1.04 = 9.984 mph.
We don't know from this how fast Manuel rides.
For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
Learn more about infinite sum of geometric series here:
https://brainly.com/question/16037289
6.3 rounded to the nearest whole number pls help me!!
Answer:
6
Step-by-step explanation:
Since .3 is below .5, you would not round 6 up to 7.
HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x^2 =9x-5
Plz I need help with this I am struggling failing math
Answer:
CB = 5, [tex]m\angle{BDA} = 23^\circ[/tex]
Step-by-step explanation:
Assuming that the marks next to angle D mean that [tex]\angle{BDA} \cong \angle{BDC}[/tex], then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).
Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.
4x + 1 = 9x - 4
Solving for x,
1 = 5x - 4
5 = 5x
1 = x
Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.
The two small angles at D are congruent, so [tex]m\angle{BDA}=23^\circ[/tex].
HELPPP Provide the missing statements and reasons for the following proof:
Given: Line m is parallel to line n.
Prove: ∠1 is supplementary to ∠2.
The missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:
S2: ∠2 ≅ ∠3
R2: corresponding angles
S3: m∠2 ≅ m∠3
R3: Definition of congruent angles
R5: Definition of supplementary angles
S7: m∠1 + m∠2 = 180°
S8: ∠1 is supplementary to ∠2
Given the proof to show that ∠1 is supplementary to ∠2, thus:
Since lines m and n are parallel to each other,
∠2 and ∠3 are corresponding angles, so, ∠2 ≅ ∠3 based on the corresponding angles theorem.
Since ∠1 and ∠3 form a linear pair, they are supplementary to each other.
By substitution, we would have m∠1 + m∠2 = 180°.
Therefore, we can conclude that ∠1 is supplementary to ∠2.
In summary, the missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:
S2: ∠2 ≅ ∠3
R2: corresponding angles
S3: m∠2 ≅ m∠3
R3: Definition of congruent angles
R5: Definition of supplementary angles
S7: m∠1 + m∠2 = 180°
S8: ∠1 is supplementary to ∠2
Learn more about supplementary angles on:
https://brainly.com/question/12919120
There are 42 students separated into 6 groups for a field trip. How many students are in each group
Answer:
There is 7 students in each group
Step-by-step explanation:
So it's basically easy math 42 divided by 6 equals 7 :)
Hopes This Helps :)
Find the percentage error if you: Estimate your credit card balance to be $2000 when it is $2590. a. 22.8% b. 20.5% c. 30.8% d. 50.6%
Answer:
a) 22.8%
Step-by-step explanation:
(2590-2000) ÷ 2590 =
590 ÷ 2590 =
.2277 = 22.8%
Algebra Find the values of x and y.
Step-by-step explanation:
hope this help you::::::::::)
solve one step equation
-3x = -9
Answer:
x = 3
--------------------------------------------------------------------------------------------------------------
Step-by-step explanation:
-3x = -9
You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.
Thus, we would divide both sides by the coefficient (-3)
-3x/-3 = -9/-3
Thus, we isolate the variable x, and the result is
x = 3
--------------------------------------------------------------------------------------------------------------
Check:
To check our answer, all we have to do is substitute the value of x.
So, we would substitute the equation as
-3(3) = 9
-3 multiplied by 3 is -9, so our answer is correct.
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Answer:
geometric (each term is multiplied by 3)
Step-by-step explanation:
1. The price of one share of a stock fell 4 dollars each day for 8 days. How
much value did one share of the stock lose after 8 days?
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.
Step-by-step explanation:
1.
$4 for 8 days. that means $4 on each and every day, 8 times.
so, in total that is 4 × 8 = $32
that is how multiplications work.
m×n means that m is added n times (or vice versa and n is added m times).
2.
similar here.
$25 each time the customer missed a payment. and he missed 4 times that year.
the bank returned the fees for all 4 occasions. so,
returned money = 25 × 4 = $100
5 meals cost 20 how much would 15 meals be
Answer:
15 meals would be $60
Step-by-step explanation:
15 ÷ 5 = 3
1. 5 = 20
2. 5 = 20
3. 5 = 20
15 = 60
Hope this helps! :)
that was sooo good !
Please help, due date is tomorrow
Answer:
1/4 is on the second line
3/8 is the the third one
3/8 is bigger
Hope This Helps!!!
Answer:
Hope this helps you.......
Will mark brainliest
Answer:
The purple square
Step-by-step explanation:
GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!
Answer:
Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!
Step-by-step explanation:
Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of cups of lime-drink mix Henry used?
Answer:
27
Step-by-step explanation:
2 x 9 = 18 so
3 x 9 = 27 so that means its 27
Find the slope of the line going through the points (-5, -10)
and (1,2)
The slope of the line is m =
Answer:
I know the answer
Step-by-step explanation:
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