Answer:
x=4
Step-by-step explanation:
log(2x-7) = 0
10^[log(2x-7)] = 10^0
2x-7 = 1
2x = 8
x = 4
Solve (x 3)2 (x 3) â€"" 2 = 0. Let u =.
The solution to the original equation will be -2 and -6
Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]
If u = x + 3, the function in terms of "u" will be;
[tex]u^2+u-2=0[/tex]
Factorize the resulting equation as shown:
[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]
Since x + 3 = u
x = u - 3
If u = 1
x = 1 - 3 = -2
If u = -3
x = -3 - 3 = -6
Hence the solution to the original equation will be -2 and -6
Correct question:
Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?
Learn more on factorization here: https://brainly.com/question/25829061
A person at rest typically takes 720 breaths in an hour.At this rate,how many breaths does a person take in 15 minutes?
Answer:
180
Step-by-step explanation:
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
5(x-4)+?=+12x-21 what is the answer?
5(x-4) + ? = 12x - 21
5x - 20 + ? = 12x - 21
? = 7x -1
ok done. Thank to me :>
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line
Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)
If 90% of 150 students passed their exam, and 1/5 of those received an A on the test, how many students received an A?
Answer:
27 students received an A
Step-by-step explanation:
90% of 150 is 135
1/5 of 135 is 27
Find the degree of this polynomial
z − 2
Answer:
1
Step-by-step explanation:
Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)
how many solutions does x squared= 4x -5 have
Answer: There are no solutions
Answer:
Two
Step-by-step explanation:
x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.
All quadratics have exactly two roots/solutions.
In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.
Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.
How do I solve this
Step-by-step explanation:
exterior angle is the sum of two opposite interior angle
11x+9=3x+12+85
11x-3x=88
8x=88
x=11.
hope this helps you.
Answer:
x=11
Step-by-step explanation:
85 + 3x + 12= 11x+9
97 +3x= 11x+9
-97 -97
3x= 11x - 88
-11x -11x
-8x = -88
/-8 /-8
x=11
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
Answer:
4 inches.
Step-by-step explanation:
The height of a rectangle is reduced by Shawna to a size of 2 inches.
The original width of the rectangle was 24 inches and the height was 12 inches.
If the ratio of width to height remains the same, then we can find the new width.
If the new width is x inches then, we can write
[tex]\frac{x}{2} = \frac{24}{12}[/tex]
⇒ x = 4 inches. (Answer)
Answer:
the new width is 14
Step-by-step explanation:
original height 12
12-2= 10 (the amount that was taken away to get the new height)
24- 10= 14 ( the new width)
Help me please! I need help ill give brainliest
Answer:
26 1/4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You add up both fractions, sorry for the lazy explanation
I need help with this !!
Answer:
-27
Step-by-step explanation:
It looks like you're trying to evaluate ...
[tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]
__
The relevant rules are ...
b^(log_b(x) = x
log(a)+log(b) = log(ab)
Kent had $280. He spent 3/7 of his money on a present and 1/4 of his money on a meal. How much money did Kent spend altogether
Answer:
$190
Step-by-step explanation:
he spent 3/7·(280), or $120 on a present
he spent 1/4·(280), or $70 on a meal
he spent $190 altogether
Please helpppppppppp
Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.
Answer:
add 12.18 to both sides and the divide by 2.14 on both sides until its x equal whatever you get
Can someone answer this
Answer:
-2/3 is the correct answer
Step-by-step explanation:
hope this helps
Answer:
Number 2 is the answer.
Step-by-step explanation:
Rise/run
and the line is going down.
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
The graph of a proportional relationship passes through (12, 16) and (1, y). Find y.
Answer:y=16
Step-by-step explanation:
What is the Answer to this
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
FG is a perpendicular bisector for AEDG is a perpendicular bisector for ECBecause of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
18.79
Step-by-step explanation:
→ Use Pythagoras theorem
√11.2² - 6.1²
→ Simplify
9.39
→ Now double the answer
18.79
If l || m, find the value of x
Answer:
x = 27°
Step-by-step explanation:
l ║ m Given
(x + 72) + (3x) = 180° If parallel line then same-side angles = 180°
4x + 72° = 180°
4x = 180° - 72°
4x = 108°
x = 108°/4
x = 27°
PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY
Answer:
Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air
First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.
Hope this helps!
Ummmm would 3x+4 be positive on a graph
Answer:
Part of the time
Step-by-step explanation:
This is a linear line, meaning it is an infinite straight line. Part of the time it will be more than 0, part of the time it will be less than 0.
Answer:
Yes there would be a positive correlation on a graph.
Step-by-step explanation:
Say we use 0 as our X value. We get 4 as our Y value. Another example we can use is 10. We get 34 as our Y intercept.
can someone help me with this
Select the correct expression
r less than 52
Answer:
no because r is a varible that dont have number
The correct expression of r less than 52 is r<52.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is r less than 52
We have to write in the form of inequality
A relationship between two expressions or values that are not equal to each other is called 'inequality.
The less than represents the relationship between r and 52
In the given expression r is the variable
r<52 is the required expression or inequality
Hence, the correct expression of r less than 52 is r<52.
To learn more on Expressions click:
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#SPJ3
A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days
Answer: It will take 125 day
Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125
Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether.
A. Write a system of inequalities that represents how many pennies and nickels that Jada could have.
Answer:
5n+p>40
n+p<20
Step-by-step explanation:
Answer:
Answer below
Step-by-step explanation:
The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.
The system of inequalities that represents how many pennies and nickels that Jada could have is given as:
p + n < 20
0.01p + 0.05n > 0.40
Let's represent the number of :
pennies = p
nickels = n
It is important to also note that:
1 penny = $0.01
1 nickel = $0.05
40 cents can also be written as: $0.40
Jada has p pennies and n nickels that add up to more than 40 cents.
The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:
$0.01 x p + $0.05 x n > $0.40
0.01p + 0.05n > 0.40
She had fewer than 20 coins altogether.
The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:
p + n < 20
Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:
p + n < 200.01p + 0.05n > 0.40
Correct answer is p + n < 20 0.01p + 0.05n > 0.40
_____________________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
Which of the following is true of the location of the terminal side of an angle, Theta, whose sine value is One-half? Theta has a reference angle of 30° and is in Quadrant I or II Theta has a reference angle of 30° and is in Quadrant I or IV Theta has a reference angle of 60° and is in Quadrant I or II Theta has a reference angle of 60° and is in Quadrant I or IV.
The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.
The true location of the terminal side of the angle θ is given by the option; Theta has a reference angle of 30° and is in Quadrant I or II.Reasons:
The given parameters are;
The sine value of the given angle = One-half
Required: To select the true statement of the location of the terminal side.
Solution:
Given that sin(θ) = 0.5, we have;
The sine of an angle is positive in Quadrant I and Quadrant II
Given that the value of sin(θ) is positive, we have θ is in Quadrant I or Quadrant IIThe reference angle, is the angle formed between the angle's terminal side and x-axis
By trigonometric ratios, considering the reference angle, we have;
θ = arcsin(0.5) = 30°
Therefore;
The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.
Learn more about trigonometric ratios here:
https://brainly.com/question/2398899
Answer:
a
Step-by-step explanation:
edge
A large bowl and a small bowl both contain gems. of the gems in each bowl are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
WILT
5
y = -2 +2
{
y = 32 - 4
ng
Choose 1 answer:
f
xt
1
3
2Y =
f
aple
©
5
=
27=
1
2
3
1
2
tems
293
1
5
D
Do 4 problems
Hey there! I'm happy to help!
Since we are using graphs, we will do not need to algebraically solve this system of equations.
When you graph a system of equations, the solution is always the point at which the two lines intersect.
Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3
Have a wonderful day! :D