Answer:
x = -7, x = 7
Step-by-step explanation:
Firstly, you are going to set the equation to 0, and then factor it.
Set equation to 0 -----> f(x)= x^2 - 49 will become x^2 - 49 = 0
Now, you're going to factor the equation.
You'll get (x-7) (x+7) upon factoring.
Thirdly, you will set (x-7)(x+7) equal to 0 and also solve for x.
Keep in mind that you'll be treating them as two separate equations
So, ----> (x-7) = 0 (x+7) = 0
When you solve for the x, you'll find out that x is equal to 7 and -7 ---> these are your zeros.
9.) Ezri earns $10 per day plus $25 for every lawn she mows. How many lawns does she need to mow today to earn $135? First, write the equation that fits this model. Let x be the amount of yards she mows. Hurry please
Answer:
5 lawns
Step-by-step explanation:
Firstly, the equation is 25x + 10 = 135
Ezri makes $25 for every lawn she mows (25x) and has an automatic $10 per day (10). In order to make $135 we take what she makes each day and set it equal to 135.
To solve, we subtract 10 from both sides to create 25x = 125. We then divide 25 from both sides to get x=5. This means that Ezri needs to mow 5 lawns in order to make $135.
I hope this is helpful to you!
**To anyone out there seeing this - let me know if you think I made a mistake and I will fix it.**
Zoe walked 9 miles in 6 hours. What was her walking rate in miles per hour? Express your answer in simplest form.
Answer: 1 1/2miles/h or 1.5miles/h
Step-by-step explanation:
Total miles walked by zoe in 6 hours = 9miles
Her walking rate = Distance/Time
= 9/6
= 3/2
= 1 1/2
Therefore her walk rate is 1 1/2miles/h or 1.5miles/h
Must click thanks and mark brainliest
Help me with this please
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Answer:
B. √6
Step-by-step explanation:
The circles are not tangent to one another. If they were, the distance between their centers would be the sum of their radii: 1 +1 = 2.
__
The center of the first circle is (√3, √3), and the center of the second is the origin. The distance between these two centers is given by the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((√3 -0)^2 +(√3 -0)^2) = √(3+3) = √6 . . . . matches choice B
find the solution to the system of equations.
y= -7x + 3
y= -x - 3
Answer:
x = 1 y = -4
Step-by-step explanation:
-7x + 3 = -x - 3
-7x = -x - 6
-6x = -6
x = 1
y = - (1) - 3
y = -1 - 3
y = -4
Number A3 part 2 show that x is sufficiently small for x⁴
Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days
a. write an expression for the population of fruit flies Lavania observed after 6 days
b. find the population of fruit flies Lavania observed after 6 days
Answer:
A. 20•5+9
B.109 flies
Two-thirds of the difference of 4 and .x.
Answer:
DIFFERENCE OF 4 AND x => 4 - x
two thirds so final expression is
[tex]\frac{2}{3} (4-x)[/tex]
If x and x+30 are the pair of co - interior angle
answer in screenshot
If you roll 2 dice, what is the probability the sum is a 4, 7 or 10?
Answer:
4=3
7=6
10=3
Step-by-step explanation:
P4= (3,1), (1,3), (2,2)
P7= (6,1), (4,3), (5,2), (3,4), (2,5), (1,6)
P10= (5,5), ( 6,4), (4,6)
Round 573.073 to the greatest place
Answer:
574
Step-by-step explanation:
To round a two-digit number to the nearest ten, simply increase it or decrease it to the nearest number that ends in 0: When a number ends in 1, 2, 3, or 4, bring it down; in other words, keep the tens digit the same and turn the ones digit into a 0
Hope this helps <3
Any help is appreciated.
No links pls
Answer:
its b plz give brainlist
Step-by-step explanation:
Evaluate:
[tex]{ \int \limits^\pi_{ \frac{1}{4}\pi}{ {e {}^{2 \sigma} (\sqrt{1 - { \sigma}^{2} } ) d \sigma}}}[/tex]
Answer:
hope this answer helps.
Regina has 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go in each bag?
Answer:
(3 × 25)/5 marbles can go in each bag
Explanation:
Number of bags Regina has = 3
Number of marbles in each bag = 25
So, total number of marbles = 3 × 25
Number of marbles in each bag, if divided equally into 5 bags = (3 × 25)/5
Further:
Solving the expression,
(3 × 25)/5
= 75/5
= 15
So, the each bag has 15 marbles if they are equally divided into 5 bags.
Answer:
(25 x 3) / 5
Step-by-step explanation:
you have to do 25 x 3 to get the total amount of marbles. Then you have to divide that by the amount of bags.
Which term best describes a figure formed by three segments connecting three non Collin ear points
Answer:
Triangle
Step-by-step explanation:
Solve for x, Correct to one decimal place where 0°<x<90°
Sin2x=0,291
Answer:
Step-by-step explanation:
Sin2x=0,291
Sin2x = 2Sinx * Cosx7x2 - 4x +10+ 3x2 – 8
Express b+1/3b-2 with “b” as the subject
Answer:
b = [tex]\frac{1+2a}{3a-1}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{b+1}{3b-2}[/tex] ( multiply both sides by 3b - 2 )
a(3b - 2) = b + 1 ← distribute left side
3ab - 2a = b + 1 ( subtract b from both sides )
3ab - b - 2a = 1 ( add 2a to both sides )
3ab - b = 1 + 2a ← factor out b from each term on the left side
b(3a - 1) = 1 + 2a ( divide both sides by 3a - 1 )
b = [tex]\frac{1+2a}{3a-1}[/tex]
Answer:
[tex]→a = \frac{(b + 1)}{(3b - 2)} \\ a(3b - 2) = (b + 1) \\ 3ab - 2a = b + 1 \\ 3ab - b = 2a + 1 \\ b(3a - 1) =( 2a + 1) \\ \boxed{b = \frac{(2a + 1)}{(3a - 1)} }✓[/tex]
b = (2a+1)/(3a-1) is the right answer.Evaluate the expression when a= 2 and c= -7. C-4a answer
Answer:
-15
Step-by-step explanation:
Let a = 2 and c = -7.
[tex]c-4a\\(-7)-4(2)\\-7-8\\-15[/tex]
we know that the value of a is 2 and c is -7
Expression-
c-4a
= (-7)-4×2
= (-7)-8
= -15
~Please help will give brainliest
Complete the equation describing how
x and y are related.
x
0
1
2
3
4
5
у
1
-1
-3
-5
-7
-9
y = [ ? ]x + []
Enter the answer that belongs in [?].
Answer:
y=-2x+1
Step-by-step explanation:
The slope of the line is - 2. The y intercept is 1. Hence the equation is y=-2x+1
The length of a rectangle is four more than three times the width. If the perimeter of this rectangle is at least 70 square centimeters. Write an inequality that can be solved to find the width of the rectangle
Answer:
Step-by-step explanation:
Let L represent the length of the triangle.
Let W represent the width of the triangle.
The length of a rectangle is four more than three times the width. This means that
L = 3W + 4
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of this rectangle is at least 70 square centimeters, an inequality that can be solved to find the width of the rectangle is
2(L + W) ≥ 70
L + W ≥ 70/2
L + W ≥ 35
Answer:
6w +8 ≥70
Step-by-step explanation:
Let w be the width
The length is then 3w+4 ("the length is 4 more than 3 times the width")
Since a rectangle has opposite sides equal, the perimeter would be 2(l+w) or 2(w+3w+4) which would be 6w +8. If the perimeter is at least 70, that is, 70 or more, the inequality would be
6w + 8 ≥ 70.
The units, however, would not be SQUARE centimeters, just centimeters. If the question were asking for area, the units would be square units, but since perimeter is a linear measurement, the units would have to be linear.
Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0[tex]\leq[/tex] x<2[tex]\pi[/tex]
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Answer:
x = π
Step-by-step explanation:
You want f(g(x)) = g(f(x)):
3 +cos(2x) = 2(3 +cos(x))
cos(2x) -2cos(x) = 3 . . . . . . . rearrange
2cos(x)²-1 -2cos(x) = 3 . . . . . use an identity for cos(2x)
2(c² -c -2) = 0 . . . . . . . . . . . . substitute c = cos(x)
(c -2)(c +1) = 0 . . . . . . . . . . . factor
c = 2 (not possible)
c = -1 = cos(x) . . . . . true for x = π
The value of x that makes f(g(x)) = g(f(x)) is x = π.
_____
Additional comment
The substitution c=cos(x) just makes the equation easier to write and the form of it easier to see. There is really no other reason for making any sort of substitution. In the end, the equation is quadratic in cos(x), so is solved by any of the usual methods of solving quadratics.
I will give brainly.
How do you determine if a slope is positive or negative?
You have to find the slope .
How?
Take 2points
(x1,y1)(x2,y2)Slope formula[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
What the Slope Means A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
Last year at a certain high school, there were 56 boys on the honor roll and 150 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 12%. By what percentage did the total number of students on the honor roll decrease?
Answer:
15.534% decrease
Step-by-step explanation:
Find the new number of boys and girls on the honor roll:
56(0.75) = 42 boys
150(0.88) = 132 girls
Find the new total number of students on the honor roll:
42 + 132 = 174
Find the percent decrease by dividing the difference in the number of students by the original number.
There were originally 206 total students on the honor roll. Find the difference:
206 - 174 = 32
Divide this by the original amount:
32/206
= 0.15534
So, the number of students on the honor roll decreased by approximately 15.534%
The graph of the equation y = 3x + 1 is shown below.
If the graph is reflected across the y-axis, what will be the equation of the new graph?
Answer:
I think its B. Y = -3x + 1
Step-by-step explanation:
Sorry if this is wrong.
What is the inverse of the function a(x)=1/x-2
Answer:
x = 1/x - 2
Step-by-step explanation:
6x2 - 7x - 5 =0
Let x = j and x = k be solutions to the equation above, with j > k. What is the value of j - k?
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Answer:
j-k = 13/6
Step-by-step explanation:
The quadratic formula tells you the two solutions are ...
x = (-b/(2a)) ±√(b² -4ac)/(2a)
The difference between these solutions is ...
j-k = √(b² -4ac)/a
j-k = √((-7)² -4(6)(-5))/6 = √(49 +120)/6 = √169/6
j-k = 13/6
pls help me asap !!!!!!
9514 1404 393
Answer:
(-2.5, 1)
Step-by-step explanation:
The desired point is the weighted average of the end points, where the weight of each point is the fraction of distance from the opposite end.
P = 5/8(-1, 7) +3/8(-5, -9) = (-5-15, 35-27)/8 = (-2.5, 1)
The desired point is (-2.5, 1).
A survey is sent out to 500 people asking questions related to the link between religion and sexual behavior at a young age. The survey does not have any tracking device, and the results are sent to a database that gives no indication of who or where the results came from. However, the database is posted online for religion and human behavior researchers to freely conduct statistical analyses. The responses to this survey are
a. both confidential and anonymous.
b. confidential only.
c. anonymous only.
d. neither confidential nor anonymous.
Answer:
c
Step-by-step explanation:
Since the the identities of the survey takers were kept secret, it would be anonymous. If it wasn't anonymous, then people would know who took the survey.
Since the survey results were released online for analyses, it is not confidential. If it were to be confidential, then the survey distributors would have kept the results to themseles.
Assume x and y are two odd numbers and x/y is an integer.
Which of the following statements are true?
I. x + y is odd
2. xy is odd.
3. x/y is odd
4. x-y is odd
Answer:
Let us check these out one at a time:
1. x + y is odd. FALSE. The sum of 2 odd numbers is even.
2. xy is odd. TRUE. The product of 2 odd numbers is odd.
3. x/y is odd. TRUE. The ratio of 2 odd numbers is odd, if the ratio is an integer.
4. x - y is odd. FALSE. The difference of 2 odd numbers is even.
Only statements 2 and 3 are TRUE, so that makes (C) the correct answer.
Which of the following sets are equal to {x|x < 9 and x> 2}
{3,4,5,6,7,8}
{2,3,4,5,6,7,8,9}
{}
{2,3,4,5,6,7}
Answer:
{3, 4, 5, 6, 7, 8}Step-by-step explanation:
{x|x < 9 and x > 2}= {3, 4, 5, 6, 7, 8}[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
