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.
Learn more about Roots of Equation here:
https://brainly.com/question/12029673
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The Picture is attached below
Answer:
Step-by-step explanation:
Write the equation of the line described below in point-slope form.
Answer:
y-1=2(x-3)
Step-by-step explanation:
Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).
[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]
-5+5(x-7)=-40+5x solve for x
Answer: all real numbers
Step-by-step explanation:
Find the gradient of the line segment between the points (6,-4) and (10,-10). Give your answer in its simplest form.
Answer:
To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates).
so it is 0.2
How to predict the charge of monatomic ions.
Answer:
by gaining or losing electrons
Step-by-step explanation:
hope it helped
brainliest pls
for what value of x and y the ordered pairs (x+3,y-2) (y-1,2x-3)
u spammed in my question :(
Find the slope for the table.
Answer:
2
Step-by-step explanation:
as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2
HelPpPpPpPpPpPpPpPpppppp
Answer:
Your answer is C y= (2)/(3)x+(3)/(2)
can someone help me with this please:)
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
100 POINTS IF U GET THIS RIGHT!
Answer:
The Slope equals (-8/7)
Which property does Aiden use for his first step?
Answer:
distributive property of multiplication!
please mark me as brainliest!!!
Please help! WILL MARK BRAINLIEST
Answer:
50
Step-by-step explanation:
Select the choice that translates the following verbal phrase correctly to algebra: (1 point)
the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)
Answer:
[tex]⟼12(y + 11)[/tex]
how many solutions does  3x+9=25x+14 have?
Answer:
one solution
Step-by-step explanation:
3x + 9 = 25x + 14
-3x -3x
9 = 22x + 14
-14 - 14
-5 = 22x
Find the value of each variable.
X=?
Answer:
x=3
Step-by-step explanation:
The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.
What is a rate in math.
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
the input number is -10
Step-by-step explanation:
output is always y
input is always x
so instead of y, put -52
-52=5x-2 add 2 to each side to ger 5x by itself
-50=5x divide both sides by 5 to get x by itself
-10=x
x is the input so the input is -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.
For what values of x is the trionomial 2x^2-x+55 equal to the square of bionomial x+5?
Answer:
[tex]x_1= 6, x_2=5[/tex]
Step-by-step explanation:
Well well well, let's write it down as an equation
[tex]2x^2-x+55 = (x+5)^2[/tex]
And then let's just do what's asking us to do
[tex]2x^2-x+55 = x^2+10x+25\\x^2-11x+30=0[/tex]At this point, it's quadratic formula time. Let's first calculate [tex]\Delta = b^2-4ac[/tex] to simplify the process
[tex]\Delta = 121-4(1)(30) = 121-120=1[/tex]
[tex]x= \frac{11\pm1}{2}; x_1= 6, x_2=5[/tex]
Sketch the graph of each line by identifying the x-and y-intercepts.
how do you subtract fractions with like numerators
Answer:
Step-by-step explanation:
To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.
Please help and no links!!!!
Answer: 18
Step-by-step explanation:
Lee is creating a garden with the dimensions shown.
Lines are drawn inside a large triangle at each point to create smaller triangles. Line A B is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to A B is 36 degrees. Line Z Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to Z Y is 65 degrees. Line X Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to X Y is 79 degrees.
He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?
The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.
Mark this and return
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle
Answer:
44
Step-by-step explanation:
In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.
Answer:
the answer would be eight
Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .
Maria decides to reduce her homework time of 8 hours per week by 15%. Calculate her new homework time. Give your answer in hours and minutes. ..
6 hours and 48 minutes
For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3
10
10/30
30
Pls answer correct
Answer:
30
Step-by-step explanation:
Answer:
A. 3Step-by-step explanation:
For every 30 minutes she dances, Nell stretches for 10 minutes
Ratio:
Dance / Stretch = 30 min / 10 min = 3/1 = 3What is mode in math.
Answer:
the number that appears the most in a data set
Step-by-step explanation:
example
3,4,5,2,3,3,3,7,7
Mode:3
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer:
The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.
Step-by-step explanation:
Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.
Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.
28 - 16 = 12 students
40 - 28 = 12 students.
. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)
Step-by-step explanation:
the most usual firm of line equation is
y = ax + b
a is the slope of the line and is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-interception (the bake of y when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
the slope a :
x changes by +3 (from 3 to 6)
y changes by +8 (from -1 to 7)
so, the slope is +8/+3 = 8/3
our line equation now looks like
y = (8/3)x + b
let's simply use the first point
-1 = (8/3)×3 + b
-1 = 24/3 + b = 8 + b
-9 = b
and the full line equation is
y = (8/3)x - 9
