Answers
The solution of the expression is,
⇒ x = - 160
What is an expression?An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
Given that;
The expression is,
⇒ log₄ (- 4x) - log₄ 10 = 3
Now,
We can solve as;
⇒ log₄ (- 4x) - log₄ 10 = 3
⇒ log₄ (- 4x/ 10) = 3
⇒ - 4x/10 = 4³
⇒ - 4x / 10 = 64
⇒ - 4x = 640
⇒ x = - 160
Thus, The solution of the expression is,
⇒ x = - 160
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Related Questions
Bill had 5 tests over the marking period. He knows he is receiving a 85 on his report card. He was looking back at his test and only has four grades: 80, 90, 100, 85. What was the score of the missing test? Please no silly answers or links ill report you.
Answers
Answer:
70
Step-by-step explanation:
(Not the most streamlined way but.)
Knowing that if he had 5 tests, and a mark of 85, we can determine the total average grade Bill received. 85*5=425
Then subtract the known grades
425-(90+85+100+80)=x
425-(355)=x
70=x
Bill would have scored 70 on that 5th test
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answers
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",
Answers
Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]
Cross multiply
[tex] 47*sin(B) = sin(37)*59 [/tex]
Divide both sides by 47
[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]
[tex] sin(B) = 0.7555 [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]
Cross multiply
[tex] c*sin(49.1) = sin(93.9)*59 [/tex]
Divide both sides by sin(49.1)
[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]
c = 77.8766982
c ≈ 77.9 (nearest tenth)
Fahad is 140 cm tall. Fareed is 1090 mm tall.
Who is taller? How much taller?
Answers
Answer:
Fahad is taller with 31 centimeters
Step-by-step explanation:
1090mm=109cm
Fahad is taller than Fareed by 31 centimeters.
1090 mm = 109 cm
140 cm - 109 cm = 31 cm
Hope this helps; please mark brainliest!
Have an amazing day!
How do you find the unknown length for a special right angel
Answers
Answer: Pythagorean theroem
Step-by-step explanation:
The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle
I invest $1,000 at 5% interest that compounds annually. How much will I have in 5 years?
Answers
Answer:
$250....................
The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area. Which of these statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A More rainfall relates to more mosquitoes as long as rainfall is less than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice B) B More rainfall relates to more mosquitoes as long as rainfall is more than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice C) C When there is no rainfall, there are about 111 million mosquitoes. (Choice D) D When there is no rainfall, there are about 222 million mosquitoes.
Answers
Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
David can run at a consistent rate of 8.2 miles per hour. If he has 3 and a half hours to
run, how far will he run if he runs at that rate?
Answers
Answer:
David can run 28.7 miles in 3.5 hours.
Step-by-step explanation:
8.2mph × 3.5hours = 28.7miles
good luck, i hope this helps :)
Subtract 6 2/5 - 1 1/4. Simplify the answer and write as a mixed number.
Answers
Answer:5 3/20
Step-by-step explanation:
6 8/20 0- 1 5/20= 5 3/20
Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds
Answers
Answer:
stocks, bonds, mutual funds, and collectables
Step-by-step explanation:
Need help.............
Answers
Answer:
a: 8.2
b:11.2
A: 37
8 km
b
17 km
What is the length of the missing leg?
Answers
17^2-8^2=225
sr of 225= 15
:))
When graphing a sine curve model using the equation Y = sin bx, the period (or wavelength) will be represented by
3
27
So be
period
Determine the equation for the sine curve that models the G# wave if the
wavelength of G# = 0.828 meters.
a.
y = sin(6.03x)
b. y = sin(0.828x)
C. y = sin(5.68x)
d. y = sin(7.59x)
Please select the best answer from the choices provided
use pic to answer
Answers
Answer:
its D, y= sin(7.59x)
Step-by-step explanation:
just took the quiz on edge
Find the area of the figure
Answers
Answer:
A = 76.912Step-by-step explanation:
Area of triangle with angle of 30°:
[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]
Area of triangle with angle of 50°:
[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]
Area of the rest of the figure:
[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]
Therefore:
[tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]
please answer quickk
Answers
Answer:
t + 25 = 26
t = 26 - 25
t = 1
I hope it's helps you
WILL MARK BRAINLIEST!!! Plz help me with my math!
y varies directly with x. If y = -4 when x = 2, find y when x = -6.
Answers
Answer:
y = 12
Step-by-step explanation:
y = kx
-4 = k * 2
k = -4/2 = -2
y = -2x
y = -2 * (-6)
y = 12
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answers
Answer: C=5
Hope this helps!
Jello someone help is this correct answer
No links or files
Correct answer please
Answers
Answer:
c is the right answer
Step-by-step explanation:
Y=x2= is that a function?
Answers
X = y2 would be a sideways parabola and therefore not a function. ... If a vertical line passes thru two points on the graph of a relation, it is NOT a function.
A 25 foot ladder is placed against a building at a point 21 feet from the ground find the distance from the base of the building to the base of the ladder
Answers
Answer:
The distance from the base of the building to the base of the ladder is 13.56 feet.
Step-by-step explanation:
This can be solved using Pythagorus theorem.
If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using
c²= a²+b²
Where c is the hypotenuse and b is the base and a is the altitude
Putting the values
25²= a²+ 21²
a²= 25²-21²
a²= 625-441
a²= 184
a= √184= 13.56 feet
The distance from the base of the building to the base of the ladder is 13.56 feet
please help WILL GIVE BRANLIEST. DESPERATE. Find the value of theta for the missing angle. Round your answer to the nearest TENTH. Image attached.
Answers
Answer:
38.7
Step-by-step explanation:
For this one we have the oppsoite and the hypotonouse
therefore we'll use SOH
let x= theta/the angle
sin(x)=7/11.2
x=38.68
38.7
Finding Percents Using Decimals 1.8 of 240
Answers
Answer:
I think 4.32...............
Find the x intercepts of the graph of -6x + 5y =24. State your answers as while numbers or as improper fractions in simplest form.
Answers
Answer:
x-intercept: -4
y-intercept: 24/5
Step-by-step explanation:
Firstly you have to isolate the y:
-6x + 5y = 24
5y = 6x + 24
y = (6x +24)/5
Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:
y = (6•0 + 24)/5
y = 24/5
0 = (6x + 24)/5
5•0 = 6x +24
0 = 6x +24
-6x = 24
x = 24/-6
x = -4
Please help me!! How do I do this?
Answers
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16 % are pennies and 30 % are dimes. There are 2 more nickels than pennies. How much money does the bag contain?
Answers
Mary was writing a test. On the test there was a question which was "What is the square root of 30?" How can you estimate the square root of 30?
After she was done the test. she got it back from the teacher and the mark she got was 26/30. Find the percentage of her mark.
Answers
Answer:
86.6%
Step-by-step explanation:
1. Divide the amount of points Mary got from the test by maximum amount of points
26/30≈0.866
2.Multiply that by hundred
0.866*100=86.6
Answer: 86.6%
Simplify the expression and choose the appropriate result.
3 (2+39)
Answers
Answer:
setup below, you'll have to do the final calculation
Step-by-step explanation:
first perform the operation in parenthesis
2+39= 41
then do the multiplication 3 x 41
in general do calculations in this order
1. Parenthesis
2. Multiplication
3. Division
4. Addition
5. Subtraction
working from left to right
I NEED HELPPPPP PLEASE
Answers
Answer:
66 ft^2
Step-by-step explanation:
2 x 3 = 6
5 x 12 = 60
6 + 60 = 66
Answer:
A=A1 + A2
A= (l×w) + (l×w)
A= ((12-3)×5) + (3×(5+2))
A=66 ft^2
Elena has written 3 sports books for kids. One book is about soccer, one is about baseball, and one is about basketball. Elena has sold a total of 3,017 of the books in local bookstores. She sold 3 times as many copies of the soccer book as the baseball book. She sold the same number of copies of the basketball book as the soccer book. How many copies of the soccer book has she sold?
Answers
Answer:
1293 soccer books
Step-by-step explanation:
The tricky part about questions like this is: how do I assign variables to the three types of book?
You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!
x = number of baseball books
Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...
x = number of baseball books
3x = number of soccer books
3x = number of basketball books
The total of these is 3017, so
x + 3x + 3x = 3017
7x = 3017
x = 431
Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answers
Answer: 17 pounds
Step-by-step explanation: