Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
Match each equation with its solution.
Answer:
1. x = -2 , 3
2. x = - 1, 5
3. -1, 6/5
4. - 0/3, 1.3
Step-by-step explanation:
1.
[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]
2.
[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]
3.
[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]
4.
[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]
What is the value of x if e^3x+6 =8? Answer:
Answer:
[tex]\displaystyle x = \frac{ln2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle e^{3x} + 6 = 8[/tex]
Step 2: Solve for x
[Equality Property] Isolate x term: [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides: [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]: [tex]\displaystyle 3xlne = ln2[/tex]Simplify: [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x: [tex]\displaystyle x = \frac{ln2}{3}[/tex]Answer:
x = 1/3 ln(2) or approximately 0.23104
Step-by-step explanation:
e^3x+6 =8
Subtract 6 from each side
e^3x+6-6 =8-6
e^3x =2
Take the natural log of each side
ln( e^3x) =ln(2)
3x = ln(2)
divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
x is approximately 0.23104
Find the value of x.
Answer:
6
Step-by-step explanation:
We can find the value x using Euclidian theorem
x^2 = 3*12
x^2 = 36
x = 6
A cab company changes a 3$ flat rate addition to $1.50 per mile what is the y Intercept?
The y intercept would be the minimum amount charged, which would be the flat rate of $3
Answer: the y-intercept is 3
Find square root of 0.0324
Answer:
0.18
Step-by-step explanation:
pls help its timed no fake answers i cant afford to fail
Answer:
It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck
Step-by-step explanation:
half past 9:00p.m. what is half past of 9:00p.m.
Answer:
The answer is 9:30 pm :D.
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?
Answer:
C=125°
Step-by-step explanation:
Hi there!
To find angle C, we can use the cosine law:
[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]
Plug in the given information
[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]
[tex]cosC=\frac{-31}{54}[/tex]
[tex]C=cos^-^1(\frac{-31}{54})[/tex]
[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]
Therefore, angle C is approximately 125 degrees.
I hope this helps!
A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
Answer:
4.2 cents
Step-by-step explanation:
Take the total cost and divide by the number of ounces
1.01 /24
0.04208
Round to the nearest tenth of a cent ( 3 decimal places)
0.042
4.2 cents
Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?
A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54
Answer:
(C) $2640
Step-by-step explanation:
2491 x 0.06 = 149.46
2491 + 149.46 = 2640.46
can someone help me with this ? please and thank you
Answer:
(a), (c) and (d)
Step-by-step explanation:
Required
Which is linear
A linear function is represented as any of:
[tex]y = mx + b[/tex]
[tex]y - y_1= m(x - x_1)[/tex]
[tex](a)\ 8x - 3y = 2[/tex]
Rewrite as:
[tex]- 3y = -8x+2[/tex]
Divide by -3
[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear
[tex](b)\ y = |x - 4|-7[/tex]
This is an absolute function. It is not linear
[tex](c)\ y + 8=5(x - 4)[/tex]
By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear
[tex](d)\ y = -7[/tex]
by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]
Others are not linear
What is the name for the marked angel ?
Answer:
A
Step-by-step explanation:
Answer:
The answer is <ead
please mark me brainliest
YOULL BE SO AWESOME IF YOU ANSWERRRRRR PLSSS
Answer:
It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just logic
Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.
Answer:
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
Step-by-step explanation:
Test if the proportion of odd numbers is significantly different from 50%.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion differs from 0.5, that is:
[tex]H_1: p \neq 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]
Two thousand numbers are selected randomly; 960 were even numbers.
This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]
[tex]z = -1.79[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.
Looking at the z-table, z = -1.79 has a p-value of 0.0367
2*0.0367 = 0.0734
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
Please hurry I will mark you brainliest
What is the equation of the line with a slope of -3 and a y-intercept of 4?
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
Please help out with this question..
Answer:
Step-by-step explanation:
C = 16 * 3 = 48
How many solutions does it have? Pls help
Answer:
2 solutions
i hope this will help you
Find BD , given that line AB is the angle bisector of
Answer:
BD = 10
Step-by-step explanation:
THEY ARE EQUAL
BECAUSE LINE AB IS THE ANGLE BISECTOR
what is 11/12 divide 1/3
no simplify
please help i need to pass summer school
Answer:
2.75
Step-by-step explanation:
(11/12) / (1/3) = 2.75
Answer:
the answer is: 11/4
please answer the question below! first to answer correctly, I will mark as brainliest.
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
Find the solution to the system of equation -x + y = 3 and x - 2y = 5.
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]
Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
We are told the focus is at (-3, -5)
Directrix is at x = -7
This is a horizontal parabola and thus the general equation is;
(y - k)² = -4p(x - h)
Where;
(h, x) is the coordinate of the vertex.
The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7
Thus, coordinates of vertex is;
(-7 + (-3))/2, (-5 + (-5))/2
> (-5, -5)
Thus, equation is;
(y - (-5))² = -4p(x - (-5))
(y + 5)² = -4p(x + 5)
Where p is the distance from vertex to directrix. Thus;
p = -(-7 - (-3))
p = -(-7 + 3)
p = 4
Thus;
(y + 5)² = -4(4)(x + 5)
(y + 5)² = -16(x + 5)
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
PLEASE HELP!!!
The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.
Find the velocity of the particle for t = 7 seconds.
A) 152 m/s
B) 47 m/s
C) 733 m/s
D) 299 m/s
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
plsssss helpp in the next 2 min gives 10 points
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
order the set of irrational numbers from least to greatest
Answer:
answer is A
hope it helps please mark as brainliest answer and give me thanks
#Dhruv herePLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):
O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet
Answer:
36
Step-by-step explanation:
Answer:
36 feet
Step-by-step explanation:
I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Answer:
A n L = null (0)
A U L = a,b,e,c,k,j
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)
