Step-by-step explanation:
the rules of logarithm.
log(a×b) = log(a) + log(b)
log(a^b) = b×log(a)
2×log(x) = log(16) + log(4)
now, using the above knowledge :
log(x²) = log(16×4)
=>
x² = 16×4 = 64
x = ±8
and since a logarithm of a negative number is undefined the only plausible solution is
x = 8
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y=mx+b
Answer:
y=7x+2
Step-by-step explanation:
Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.
Hope it helped!
The equation of the line is y = 7x + 2.
What is the equation of a line?The equation of a line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
m = 7 and c = 2
The equation of a line is,
y = mx + c
y = 7x + 2
Therefore, the equation of the line is y = 7x + 2.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ2
divide £100 into 1:4
Answer: the answer is 25
Step-by-step explanation:
First do 100/1
Then do 1 x 100/1 x 4
so then divide 100 by 4 =
25/1 =
25
Round 909.09 to the nearest hundredth
Answer:
909.1
The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1
A grocery store has five different packages of bottled water.Which is the best deal available on bottled water at this grocery store?
Answer:
Step-by-step explanation:
First, check the amount of water in each one and the price. Which ever one has the lowest price for more water has the best deal.
:) Hope this helps
Write the numbers in order from least to greatest -4, 5/2, 3, 0, -8/3
Answer:
-4,-8/3,0,3,5/2
Step-by-step explanation:
im sorry if this is wrong but this is what i think it is .
how many diffrent ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a diffrent experiement
Answer:
Since its different experiment. Then it's permutation,
Therefore it's 20P5 = 1860480 Ways
Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pound per month. Let m be the number of months.
Please help guys
Answer:
D
Step-by-step explanation:
C is wrong help me please
Answer:
A
Step-by-step explanation:
x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
Please help I need this done ASAP
Answer: No solution
The two lines don’t meet at any point(s). So, there are no solutions.
:)
4(4 + 7x) + x 2 -6x +5
A person working with his cousin can refinish a table in 3 hours. Working alone, his cousin can complete the job in 12 hoursHow long would it take the person to refinish the table working alone?
Answer:
It is either 4 or 9.
Step-by-step explanation:
because you have to subtract or divide
Pls help with this:/
9514 1404 393
Answer:
a. y = -1/3x +7/3
b. f(6) = 1/3
Step-by-step explanation:
The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(4 -1) = -1/3
The point-slope form of the equation of the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...
y = m(x -h) +k
y = -1/3(x -1) +2
y = -1/3x +7/3 . . . . eliminate parentheses
__
b. The value of y when x=6 is ...
y = -1/3(6) +7/3 = (-6 +7)/3
y = 1/3
That is, for f(x) = -1/3x +7/3, ...
f(6) = 1/3
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
Guided Practice
The graph of y = 2(x + 1)2 − 4 is a translation 1 unit horizontally and 4 units vertically of the function y = 2x2. Graph this function in your notebook.
Type your answer and then click or tap Done.
The vertex of the parabola is (Fill in the blank text field 1
, Fill in the blank text field 2
( , )
Answer:
Step-by-step explanation:
hmm
The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The graph of the two functions can be made as shown below. Therefore, the two functions are,
y=2x² → Drawn by the red line
y = 2(x + 1)² − 4 → Drawn by the blue line
Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.
Hence, The vertex of the parabola after transformation is (-1,-4).
Learn more about Quadratic Equations here:
https://brainly.com/question/17177510
#SPJ5
pwease help me with math question pwease
Answer:
3 1/10 and 1 3/5
Step-by-step explanation:
explain how to multiply rational expressions
Answer:
In order to multiply rational expressions:
Step 1: Completely factor all numerators and denominators.
Step 2: Reduce all common factors.
Step 3: Either multiply the denominators and numerators or leave the answer in factored form.
Here is an example:
In Diagram 6, JCK is a tangent to the circle ABC
Find the value of x.
A 1149 B 76° C 52° D 26°
Answer:
C
Step-by-step explanation:
if you don't know it choose C
If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?
[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]
Number 13
I’ll reward you brainiest!!
Determine whether the graphs of given pair of equations are parallel,
perpendicular, or neither. 2x+5y=15
3x+5y=15
Answer:
Neither because x can't equal 3 and equal 2 at the same time and 2x + 5y doesn't equal 3x + 5y. 3x is > 2x by one x
Step-by-step explanation:
Hope this answer works for you!
1. Find the value of y that corresponds to x = 5 :
y = - 4 + 5(x + 6)
Answer:
X=5
y= -4+5(5+6)
y= -4+25+30
y= -4+55
y = 51
Please help me answer this question!!!
Answer:
19
Step-by-step explanation:
The triangle is an isosceles and so angle SRT and angle STR are equal
also:
Angle SRT and angle STU are supplementary so their sum is equal to 180
7x + 2x + 9 = 180 add like terms
9x + 9 = 180 subtract 9 from both sides
9x = 171 divide both sides by 9
x = 19
original price of a truck $ 17,100.00 Tax 2.5%
need help asap PLS HURRY
A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 13 more students than her second class. In total, she teaches 57
students. The equation 2x + x + (x +13) = 57 represents this scenario, where x is the number of students
in her second class.
How many students are in her second class?
Number
students are in her second class.
Answer:
11
Step-by-step explanation:
2x + x + x + 13 = 57
4x + 13 = 57
4x = 57-13
4x = 44
44/4 = 11
x = 11
11x - 2(x + 3) = 30. (filling up space) iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
x=4
Step-by-step explanation:
11x - 2(x + 3) = 30
distribute: 11x-2x-6=30
add like terms: 9x-6=30
add 6: 9x=36
divide by 9: x=4
Answer:
x = 4
Step-by-step explanation:
11x - 2(x +3) = 30
11x -2x - 6 = 30
11x - 2x = 30 + 6
9x = 36
9x/9 = 36/9
x = 4
87 is 12.5% of what number?
Answer:
10.88
Step-by-step explanation:
PLS HELP! Worth 15 Points and Will give brainlest
Answer:
D
Step-by-step explanation:
help plz
find the size of unknown angle in the flowing figures
Answer:
it is 95 degrees because it is a vertically opposite angle