Answer:
Step-by-step explanation:
When the base of a logarithm is not specified, it is assumed that the base is 10. Therefore we have:
[tex]log_1_0(x^2-15)=log_1_0(2x)[/tex]
Intuitively you can see that if the two arguments inside of the logarithm equal each other, then both sides will be equal to each other. Therefore, you can say the following requirement:
[tex]x^2-15=2x[/tex]
Subtract 2x on both sides to get:
[tex]x^2-2x-15=0[/tex]
Use the quadratic formula to solve for 'x' to get:
[tex]x=(-b+\sqrt{b^2-4ac} )/2a[/tex]
[tex]x=(-b-\sqrt{b^2-4ac} )/2a[/tex]
Beginning with the first solution:
[tex]x=(-(-2)+\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=2+\sqrt{4+60} )/2[/tex]
[tex]x=(2+\sqrt{64}) /2[/tex]
[tex]x=(2+8)/2[/tex]
[tex]x=5[/tex]
Second solution:
[tex]x=(-(-2)-\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=(2-\sqrt{4+60} )/2[/tex]
[tex]x=(2-8)/2[/tex]
[tex]x=-6/2[/tex]
[tex]x=-3[/tex]
Since the 'x' value inside of the logarith is squared, the -3 is a valid solution. Ordinarily, the log function cannot take on negative values.
Please help me con la resolución porfa
Answer:
2,591 esta bien la respuesta
An equilateral triangle with side length 19 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.
Answer:
h = 16.5
Step-by-step explanation:
Remark
The formula below really is the Pytharagan formula disguised.
h^2 = hypotenuse (side)^2 - (1/2 side)^2
Givens
side = 19 cm
Solution
h^2 = 19^2 - (1/2*19)^2 Substitute given into formula
h^2 = 361 - (9.5)^2 square 9.5
h^2 = 361 - 90.25 Subtract
h^2 = 270.75 Take the square root of both sides
√h^2 = √270.75
Answer: h = 16.5
Can y’all help me on this graph work asap pls
choose the imensions that represen this rectlangl
answer
length:2/5
width: 3/6
length:2/4
width:3/4
length:2/3
width:3/5
length:2/3
width:3/4
Answer:B
Step-by-step explanation:I hope it help
Point x (-6,3) is translated 2 units left and 5 units down. Write the coordinates of X'
Answer:
X' (-8,-2)
Step-by-step explanation:
You move -6 two spaces to the left making -8 and 3-5 = -2
What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth.
Answer:
282.74
Step-by-step explanation:
Answer:
[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]
Step-by-step explanation:
Given:
Shape of object = cylinder
height of cylinder= 4 inches
radius of cylinder= 5 inches
To find:
surface area of cylinder = ?
Solution:
we know that,
[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]
THANKS FOR JOINING BRAINLY COMMUNITY!
Find the missing
information.
Arc length-1.5 ft
Radius-?
Central angle-pie/4 rad
Round to the nearest thousandth.
Answer:
1.91 ft
Step-by-step explanation:
Formula
l = rαwhere :
l = arc lengthr = radiusα = central angleSolving for r
l = rαr = l/αr = 1.5/(π/4)r = 6/πr = 1.90985932 ftr = 1.91 ft (nearest thousandth)FREE BRAINLIEST Write the equation for the parabola that has x− intercepts (−3,0) and (4,0) and y− intercept (0,12).
Answer:
f(x) = -x^2 + x + 12.
Step-by-step explanation:
f(x) = a(x - 4)(x + 3) as the x-intercepts are -3 and 4.
a is some costant.
At the y intercept x = 0 so we have:
y = 12 = a(0-4)(0+3)
12 = -12a
a = -1
So our eaution is f(x) = -(x - 4)(x + 3)
= -(X^2 - x - 12)
= -x^2 + x + 12
PLSSS help if you TURLY know THISS
Answer:
that would be C.) 1 and 1/8
Step-by-step explanation:
becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8
Answer: c
Step-by-step explanation:
Add the numerators
7+2=9
8 out of the 9 will make a whole number
9-8=1
The last 1 in the numerators will make 1/8
1 and 1/8
Using the Rule of 72, how long would it take for Anthony to double his investment of $5,000 in a
money market account that earns 7% per year?
Answer: About 10.2857 years
=============================================================
Explanation:
For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.
For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.
In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.
-------------
Extra Notes:
The starting deposit doesn't matter, so we can ignore the "5000". The interest rate must stay the same the entire time.Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material holds 75 cubic inches of material, how many bags does Sasha need to buy to fill the space around the photo box?
The number of bags that Sasha would need to fill the space around the photo box is 9 bags.
How many bags would be needed?The first step is to determine the volume of the photo box. The photo box has the shape of a cuboid. A cuboid is a three-dimensional object. It has six sides and six vertices.
Volume = length x width x height
12.5 x 4.2 x 12.5 = 656.25
Bags needed - 656.25 / 75 = 9
To learn more about how to determine the volume of a cuboid, please check: https://brainly.com/question/8890358
Is this just a fancy way of saying to graph the point (2,-6) or am I supposed to graph a line?
Answer:
I do know what that is saying it's saying the rise of the line is going to be -6 and the run is going to be 2.
Step-by-step explanation:
Your supposed to graph a line I don't exactly remember how to do it but yeah you're supposed to graph the line.
PLEASE HELP I AM CHOOSING BRAINLIEST
Answer:
0
Step-by-step explanation:
since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number
for example
2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder
The circumference of a circle is 44π cm. find the diameter, the radius, and the length of an arc of 110.
Answer:
Step-by-step explanation:
PLS HELP!!!!For each sequence determine whether appears to be a ARITHMETIC or GEOMATRIC or neither ( pictures attached)
Answer:
The first one is geometric. The second one is gemetric. The last one is arithmetic.
Step-by-step explanation:
35. Eastview Junior High students order sweatshirts and T-shirts in either purple or gold. Of the
students who ordered a sweatshirt, the relative frequency of ordering a gold one is half of the
relative frequency of ordering a purple one. Which two-way table could show the data from the
orders?
The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)
Answer:
Male
Step-by-step explanation:
There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!
show that the relation R in R define as R = {(a, b): a<_ b}, is reflexi when transistor but not symmetry
Answer:
R is reflexive and transitive but not symmetric.
Step-by-step explanation:
R = {(a, b); a ≤ b}
Clearly (a, a) ∈ R as a = a.
R is reflexive.
Now,
(2, 4) ∈ R (as 2 < 4)
But, (4, 2) ∉ R as 4 is greater than 2.
R is not symmetric.
Now, let (a, b), (b, c) ∈ R.
Then,
a ≤ b and b ≤ c
→ a ≤ c
→ (a, c) ∈ R
R is transitive.
Thus, R is reflexive and transitive but not symmetric.
Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .
Answer:
okay so the area is 1386inches2
Step-by-step explanation:
[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]
Solve for x and round to nearest tenth <3
Tyrell and Marianne start at the same point. Tyrell walks 2.5 miles north in a straight path. Marianne walks 6.0 miles east in a straight path. How many miles apart are they at the end of their walks rounded to the nearest hundredth mile?
Answer: 6.5 is the answer.
Step-by-step explanation:
A giant tortoise can walk about
1/10 meter per second on land. A cooter turtle can walk about
1/2 meter per second on land.
How long would it take a giant tortoise to travel 2 meters?
2 ÷ 1/10 = 2 ? 10 =
Answer:
its already on brainy hope this helps
Step-by-step explanation:
The rate of giant tortoise is 1/10 meters per each second.
The rate of cooter turtle is 1/2 meters per each second.
How long would it take a giant tortoise to travel 5 meters?
1 second : 1/10 m = X : 5 m
1/10x = 5
x = 50 seconds
How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?
1 second : 1/2 m = X : 10 m
1/2x = 10
x = 20 seconds
So the giant turtle can travel 5 meters in 50 seconds.
So the cooter turtle can travel 10 meters in 20 seconds.
What is the scale factor???
Answer:
I believe your answer is 2 because that is the difference in the width of the cars.
If you help I’ll give brainlist thing pleaseeee
Answer:
a. y = 10
b. x = 5 - (5y/2)
c. y = 6x - 11
Step-by-step explanation:
a.
2(y - 3) = 4
2y - 6 = 4
2y = 10
y = 5
b.
2x + 5y = 10
2x = 10 - 5y
x = 5 - (5y/2)
c.
6x + 3y = 4y + 11
6x = y + 11
y = 6x - 11
d.
I don't know this one, sorry.
Can someone solve this for me please.
Answer:
y= .5x+2
Step-by-step explanation:
Slope= 2/4 (rise over run) = .5
B/ y intercept = 2
y=.5x+2
Solve the following linear inequalities given in the first column and choose the appropriate results
Solution 1
7(g - 19) ≥ -14
7g - 133 ≥ -14
7g ≥ -14 + 133
7g ≥ 119
g ≥ 17
Solution 2
3(7g+17) > -19 + 14g
21g + 51 > -19 + 14g
21g - 14g > -19 -51
7g > -70
g > -10
Solution 3
6(-6g + 6) > -2(19g - 17)
-36g +36 > -38g + 34
-36g + 38g > 34 - 36
2g > -2
g > -1
Write an expression that is equivalent to 1.5a +4.7+0.25a-0.3-0.5a
Answer:
1.25a-4.4
Step-by-step explanation:
you take :1.5a+0.25a-0.5a=1.25
then:4.7+0.3=4.4
1.25a-4.4
but am not sure sorry
Answer:
1.25a + 4.4Step-by-step explanation:
Collect like terms and simplify
1.5a +4.7 + 0.25a - 0.3 - 0.5a = a(1.5 + 0.25 - 0.5) + (4.7 - 0.3) = 1.25a + 4.4Which ones are correct?
Answer:
2 only
Step-by-step explanation:
This answer assumes that we can assume that lines which look straight are straight.
Straight angles are also known as 180 degree angles, and if a straight angle is cut in half, then the two parts must add up to 180 degrees. In the first picture, we see that 90-x and 90+x are the angle measurements.
(90-x)+(90+x)=90+90+x-x=180 degrees
the second one has angles 97 and 83, which add up to 180 degrees
the third one has angles which add up to more than 180 degrees, so any answer containing the third one as being correct is wrong.
The answer should be 1 and 2, but, that isn't an answer. Looking back at 1, it can be seen that if x is a negative number, or if x was a number greater than 180 degrees, then the picture would not work, so 1 is invalid. this leaves only 2, so 2 only.
Complete the calculations so that each shows the correct sum of difference (GIVING 30 POINTS)
Answer:
See below ↓↓↓
Step-by-step explanation:
a) 2 . 1 4 0 b) 2 9 . 9 9 c) 6 . 1 5 7
+ 1 . 7 2 5 + 1 . 4 2 - 1 . 0 0 9
3 . 8 6 5 3 1 . 4 1 5 . 1 4 8
Graph the system.
y=x2+4x+1
y−x=1
As you graph your parabola, plot the vertex as your first point, followed by a point on the parabola.
Answer:
y = 6 x + 1
y = 1 x + 1
'^' :)))))