Answer:
Answer: -7
Step-by-step explanation:
The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.
What is Root of Equation?In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.
A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.
We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.
Now, if f(x) = 0
then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0
Now, calculating in separate the value of x as
x +4 =0 and x+ 7= 0
x = -4 and x = -7
Thus, the roots cross x axis at -4 and -7.
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Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
The common difference d is
(41–11) / (10–5) = 6.The first term is
11 - 6(5–1) = -13.so , the first term is -13
Answer:
-13Step-by-step explanation:
The fifth term:
[tex]a_5=a+4d = 11[/tex]The 10th term:
[tex]a_{10}=a+9d=41[/tex]Subtract side-by-side and find d:
9d - 4d = 41 - 115d = 30d = 6Find the first term:
a = 11 - 4*6 a = 11 - 24a = - 13Solve for x.
5 = 2x − 3
(✿◡‿◡)
Answer: x=4
Step-by-step explanation:
Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
As a civil engineer, you are drafting the plans
for a new water treatment plant. The water
mains for this plant measure 48 inches in
diameter. At each joint between pipes in the
main, a strip of rubber will be bonded to the
outside of the pipe joint to improve the seal.
About how long will the rubber seal be when
it is trimmed to fit around the pipe?
The distance around a circle is the circumference.
Circumference = Pi x diameter.
Circumference = 3.14 x 48
Circumference = 150.72 inches
Round the answer as needed.
7. What are the slope and y-intercept of y=3x-5?
Answer:
slope = 3
y-intercept = -5
Step-by-step explanation:
y = mx + b
m = slope; b = y-intercept
y = 3x - 5
y = 3x + (-5)
m = 3 = slope
b = -5 = y-intercept
Answer:
The slope is 3 and the y-intercept is negative 5.
The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
What will be displayed when the following code is executed? number = 6 while number > 0: number -= 3 print(number, end = ' ').
With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.
Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.
With number = 0, number > 0 is no longer true, so we exit the loop.
Then the print statement simply prints the current value of number, which is 0.
Solve for value of y
(9y - 6) + 51 = 90 (right angle)
9y - 6 + 51 = 90
9y - 6 = 90 - 51
9y - 6 = 39
9y = 39 + 6
9y = 45
y = 45/9
y = 5
_______
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
I need an emergency help plssssss! :(
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]
[tex]\\ \sf\longmapsto X^0[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
- 2/7 divided by - 8/21
I like to use the way flip the second fraction then cross cancel then multiply.
(-2/7)/(-8/21)
= (-2/7)(-21/8) (cross cancel) so 8 / 2 = 4 and 21 / 7 = 3. The 7 and 2 becomes 1.
= (-1/1)(-3/4)
= 3/4 or decimal 0.75
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
= (-2/7) * (-21/8)
=(-2*-21) / (7*8)
=42/56
= 3/4 -simplified
Question is on picture attached
Answer: a. they are alternate exterior angles.
b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.
14x + 2 = 9 + 13x
14x + 2 = 13x + 9
14x = 13x + 9 - 2
14x = 13x + 7
14x = 7 + 13x
14x - 13x = 7
x = 7
To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7
100 = 100
So, we are correct.
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12 Times the product of 43 and a number B
Answer: 12*(43*B)
Step-by-step explanation:
12*(43*B)
A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?
Answer:
14 miles if that's how far he went up
17miles if you're calculating his distance covered
The distance he hiked up the mountain is 10 miles.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.
The total elevation will be calculated as below:-
Elevation = 10 + 3 + 1 - 4
Elevation = 14 - 4
Elevation = 10 Miles
Therefore, the distance he hiked up the mountain is 10 miles.
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Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.
Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 4Factor the polynomial 49n^2+168n+144
Answer:
(7n+12)^2 or (7n+12)(7n+12)
Step-by-step explanation:
Answer:
(7n+12)^2 or (7n+12) (7n+12)
Step-by-step explanation:
Both answers are the same thing it's just shortened with the first equation.
216+5( 8+1/5) Please i need it asap ty!
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
Graph this inequality:
y ≤ 1/4x
If x = 3, y=-1 is a solution of the equation 3x - 2y = k, then k is :
(a) 12
(b) 10
(c) 7
(d)11
Answer:
11
Step-by-step explanation:
So you replace each letter with it's numerical value.
Note that in arithmetics the sign is critical so observe it.
For this equation, if you solve for k by replacing the known variables with their actual value you get this:
3(3)-2(-1)=k
As stated earlier, the signs are important. When you multiply a negative number with another negative number the sign becomes positive (+).
For this case, -2*-1=+2 and 3*3=9
So, k=2+9
k is therefore 11
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
98
Step-by-step explanation:
It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.
can someone explain how to do this for me? i don't get it like what am i supposed to do..
Answer:
You need to select ALL of the fractions listed that are GREATER than 1/2.
One of those is 3/4.
Step-by-step explanation:
Make all of the fractions equal to 1/2, and then compare to what they really are. For example, taking 3/4 and making it equal to 1/2, which would be 2/4. Since it is 3/4 though, we know that it is GREATER than 1/2.
С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards
Answer:
C = 13
Step-by-step explanation:
A²+B²=C²
where c is the hypothenuse
5²+12²=c²
25+144=c²
169=c²
√169 = c
13 = c
A cinema has 3 screens
Answer:
screen 1 =200
screen 2 =125
screen 3 =175
Step-by-step explanation:
screen 1 40% of 500 =200
screen 2 25% of 500 =125
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
screen 1 =200
screen 1 40% of 500 =200
screen 2 =125
screen 2 25% of 500 =125
screen 3 =175
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
Hope this helps!!^^
28.5 is 30% of what number
Answer: 28.5 is what percent of 30? = 95.
Step-by-step explanation:
A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?
If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
The selling price of the house = $64,900
Profit percent = 25%
The profit price of the house after selling,
64900 × 25/100
= $16225
Now,
The purchase price of the house,
$64900 - $16225 = $48675.
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Please help me ASAP this is due in 4 mins
Answer: I would go with A.(B)
Step-by-step explanation:
The graph A. is the correct one
The length of perpendicular drawn from the opposite vertex to any side is a) altitude b) median c) perpendicular d) angle bisector
Answer:
Step-by-step explanation:
Altitude or height
Answer
It is known as altitude
There are three such altitudes and the point of intersection of these altitudes
is called as orthocentre
Given that I = PTR/ 100 , make T the subject of the formula.
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
To all who are good at math please help 80 points
Answer:
Number 4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
4. Which of the following is the equation of a line that is perpendicular to a line that
goes through points at (-1,5) and (1, -3) and contains point (4, -4)?
A. y = - 4x - 5
B. y = - 4x - 3
C. y = 1/4 x - 3
D. y = 1/4 x – 5
Answer:
C. y = 1/4 x - 3
Step-by-step explanation:
find the length of segment AB
Answer:
26
Step-by-step explanation:
AB=CB so
3x+8=7x-16
-4x=-24
x=6
then plug that x value into the length which is 3x+8
so 3(6)+8=18+8=26