Answer:
4\pm\sqrt{19}
Step-by-step explanation:
Move everything to left side
[tex]x^{2} -8x -3 =0[/tex]
Now to solve this square equation we need to find Descriminant
[tex]D=b^{2} -4ac=64+12=76[/tex]
As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula
[tex]x_{1,2}=\frac{-b\pm\sqrt{D}}{2a} =\frac{8\pm2\sqrt{19}}{2}=4\pm\sqrt{19}[/tex]
Completing the square in mathematics is a technique used to solve quadratic equations by transforming them into a perfect square trinomial form. It helps in finding the roots of the equation more efficiently.
Completing the square involves transforming a quadratic equation into a perfect square trinomial form to solve it. In the case of x^2 - 8x = 3, the steps would include halving the coefficient of x, squaring that value, and adding/subtracting it to both sides of the equation to complete the square.
The solution set for the equation x^2 - 8x = 3 would be {4 + √19, 4 - √19}, as completing the square helps in finding the roots of the quadratic equation.
Completing the square is a helpful technique in mathematics for solving quadratic equations more easily and efficiently.
When the factors of a trinomial are (x+p) and (x-q) then the coefficient of the x-term in the trinomial is:
Answer:
p - q
Step-by-step explanation:
Given the factors
(x + p)(x - q) ← expanding the factors
= x² - qx + px - pq ← collect like terms
= x² + px - qx - pq ← factor out x in each of the x- terms
= x² + (p - q)x - pq
The coefficient of the x- term is p - q
Choose the solution set. Given: x - 8 > -3.
Answer:
x> 5
Step-by-step explanation:
x - 8 > -3
Add 8 to each side
x - 8+8 > -3+8
x> 5
Answer:
[tex]\huge \boxed{x>5}[/tex]
Step-by-step explanation:
First, add by 8 from both sides of equation.
[tex]\displaystyle x-8+8>-3+8[/tex]
Simplify, to find the answer.
[tex]-3+8=5[/tex]
[tex]\huge \boxed{x>5}[/tex], which is our answer.
simplify 3y - 5(y + 2) completely
Answer:
A
Step-by-step explanation:
3y (-5)(y+2)
3y(-5y-10)
3y-5y-10
-2y-10
-2y-10
3y - 5(y +2)
Use the distributive property:
3y - 5y +10
Combine like terms:
-2y+10
The answer is B.
The graph below shows the solution for the following system.
{f(x)=2x−3
g(x)=2^x−4
Linear function passing through (0, negative 3), (1.5, 0) & about (2.7, 2.3).
Exponential function passing through (negative 3, negative 4), (0, negative 3), (2,0) & about (2.7, 2.3).
Which statements are true?
Select all that apply.
x=0 is a solution to the system.
(1.5,0) and (2,0) are solutions to the system because the graphs of f(x) and g(x) cross the x-axis at those points.
When x≈2.7, the graphs of f(x) and g(x) intersect because they are equal to each other at that value.
f(x)=g(x) when x=0.
Answer:
TRUE:
When x≈2.7, the graphs of f(x) and g(x) intersect
f(x)=g(x) when x=0
Step-by-step explanation:
The graphs of two function y=f(x) and y=g(x) are shown in attached diagram.
These two graphs intersect at two points (0,-3) and about (2.7,2.3). This means that
f(0)=g(0)=-3
and
f(2.7)=g(2.7)=2.3
So, x=0, y=-3 is the solution to the system (the solution to the system is ordered pair (x,y), not only x)
Points (1.5,0) and (2,0) are not solutions, because they are not points of graphs intersection.
When x≈2.7, the graphs of f(x) and g(x) intersect (TRUE)
f(x)=g(x) when x=0 (TRUE)
Answer:
f(x)=g(x) when x=0.
x=0 is a solution to the system.
When x≈2.7, the graphs of f(x) and g(x)intersect because they are equal to each other at that value.
Let f(x)=x + 1 and g(x)=x2-x. Find and simplify the expression.
(f+g)(2)
Final answer:
To simplify (f+g)(2) with given functions f(x)=x+1 and g(x)=x^2-x, calculate the functions' values at x=2 and sum them, resulting in (f+g)(2) = 5.
Explanation:
To find and simplify the expression (f+g)(2), you first need to determine the individual functions f(x) and g(x) at the value x = 2, and then sum them.
The function f(x) is given by f(x) = x + 1. At x = 2, f(2) = 2 + 1 = 3.
The function g(x) is given by g(x) = x2 - x. At x = 2, g(2) = 22 - 2 = 4 - 2 = 2.
Adding these two results together, we get (f+g)(2) = f(2) + g(2) = 3 + 2 = 5.
Which expressions have a value of - 1/64 ? Check all that apply.
Answer:
That may be one of the answers but it is check all that apply
Step-by-step explanation:
Find x Round to the nearest tenth
Answer:
15.5
Step-by-step explanation:
So the formula here is the square of the tangent length is equal to the product of the exterior part of the secant line and total length of the secant.
So that means we have x^2=10(14+10).
After simplifying the right hand side we have the equation is x^2=10(24) or x^2=240.
To get rid of the square on the x, we square root both sides.
x=sqrt(240)
x=15.49193338
To the nearest tenths, the answer is x=15.5
So 15.5 inches is the length of x.
slope 1/2, passes through (6,4)
Write in slope-intercept form
Answer:
[tex]\large\boxed{y=\dfrac{1}{2}x+1}[/tex]
Step-by-step explanation:
[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{We have:}\ m=\dfrac{1}{2}\ \text{and the point}\ (6,\ 4).\\\\\text{The equation:}\ y=\dfrac{1}{2}x+b.\\\\\text{Put the coordinates of the point to the equation:}\\\\4=\dfrac{1}{2}(6)+b\\\\4=3+b\qquad\text{subtract 3 from both sides}\\\\1=b\to b=1\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x+1[/tex]
A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?
Answer:
(x, y ) → (x + 4, y - 3 )
Step-by-step explanation:
A translation of 4 units to the right is a positive shift in the x- direction, that is,
The x- coordinate of the image is the original + 4
A translation of 3 units down is a negative shift in the y- direction, that is
The y- coordinate of the image is the original - 4
Putting the 2 together
(x, y ) → (x + 4, y - 3 )
The equation F=
C +32 gives the Fahrenheit temperature F corresponding to the Celsius temperature C
Find the Fahrenheit temperature equivalent to 30°C
The Fahrenheit temperature equivalent to 30°C is °F
(Simplify your answer. Type an integer or a decimal.)
Answer:62
Step-by-step explanation:
F=c+32
C=30
F=30+32
F=62
The Fahrenheit temperature equivalent to 30°C (using the formula F = C + 32) is 62°F.
The Fahrenheit temperature equivalent to 30°C can be found using the temperature conversion formula F = C + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius.
To find the temperature in Fahrenheit, substitute 30 for C:
F = 30°C + 32 = 62°F
Which set of ordered pairs could be generated by an exponential function?
(0,0), (1, 1), (2,8), (3, 27)
(0, 1), (1, 2), (2,5), (3, 10)
(0,0), (1,3), (2, 6), (3,9)
(0, 1), (1,3), (2, 9), (3, 27)
ANSWER
(0, 1), (1,3), (2, 9), (3, 27)
EXPLANATION
For an exponential function, there is a common ratio among the terms.
Therefore we need to examine the y-values of the ordered pairs to see which one has a common ratio.
For the first option, the y-values are:
0,1,8,27
[tex] \frac{27}{8} \ne \frac{8}{1} [/tex]
For the second option, the y-values are:
1,2,5,10
[tex] \frac{10}{5} \ne \frac{5}{2} [/tex]
For the third option, the y-values are:
0,3,6,9
[tex] \frac{9}{6} \ne \frac{6}{3} [/tex]
For the last option, the y-values are:
1,3,9,27
[tex] \frac{27}{9} = \frac{9}{3} = \frac{3}{1} = 3[/tex]
Since there is a common ratio of 3, the set of ordered pairs (0, 1), (1,3), (2, 9), (3, 27) could generate an exponential sequence.
What is the volume of a sphere with a radius of 18 units
Answer:
7776π or
24,429.02 unit^3 to the nearest hundredth.
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 π r^3 where r is the radius.
Here V = 4/3 * π * 18^3
= 7776π unit^3.
Answer:
7776 pi
Step-by-step explanation:
Help me with this please
Answer:
[tex]\large\boxed{(b)\ \dfrac{x+2}{x-3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{x+1}+\dfrac{x}{x-3}-\dfrac{-x-5}{x^2-2x-3}=(*)\\\\x^2-2x-3=x^2-3x+x-3=x(x-3)+1(x-3)=(x-3)(x+1)\\\\(*)=\dfrac{1(x-3)}{(x+1)(x-3)}+\dfrac{x(x+1)}{(x+1)(x-3)}+\dfrac{-(-x-5)}{(x+1)(x-3)}\\\\=\dfrac{x-3+x^2+x+x+5}{(x+1)(x-3)}=\dfrac{x^2+(x+x+x)+(-3+5)}{(x+1)(x-3)}\\\\=\dfrac{x^2+3x+2}{(x+1)(x-3)}=\dfrac{x^2+2x+x+2}{(x+1)(x-3)}=\dfrac{x(x+2)+1(x+2)}{(x+1)(x-3)}\\\\=\dfrac{(x+2)(x+1)}{(x+1)(x-3)}\qquad\text{cancel (x + 1)}\\\\=\dfrac{x+2}{x-3}[/tex]
Which phrase represents the algebraic expression 5x - 9?
the product of five times a number and nine
the difference of nine times a number and five
the sum of five times a number and five
the difference of five times a number and nine
What’s the answer
Answer:
The difference of five times a number and nine
Step-by-step explanation:
The correct option is the difference of five times a number and nine.
Let the number be = x
Five times a number = 5x
Here difference means subtraction:
The difference of five times a number and nine would be 5x-9....
Answer:
D
Step-by-step explanation:
2022 Russian Invasion of Ukr- I mean got it right on Edge 2022
The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible
lengths of the third side of the triangle? Round your answer to the nearest tenth.
10.2 inches
24.0 inches
28.2 inches
30.0 inches
Answer:
The correct option is A
Step-by-step explanation:
Lets suppose that the third side is hypotenuse.
We will apply Pythagorean theorem:
c²= a²+b²
where,
a=12 inches
b=15 inches
Now substitute the values in the theorem:
c²=(12)²+(15)²
c²=144+225
c²=369
Take square root on both sides:
√c²=√369
c= 19.2 inches.
Now assume that the third side is a leg:
Here we will find the value of b.
a=12 inches
c= 15 inches.
b= ?
Now substitute the values in the theorem:
c²=a²+b²
(15)²=(12)²+b²
225=144+b²
Move the constant to the L.H.S
225-144=b²
81=b²
Take square root on both sides:
√81=√b²
9=b
Now we will find the difference of the third sides:
19.2-9 = 10.2
Thus the length of the third side is 10.2 inches
The correct option is A....
Answer:
A.
Step-by-step explanation:
your utility bill for april is $170. If you pay after the due date,a late payment panality of $7.72 is added? what is percent of penality?
Answer:
4.54%
Step-by-step explanation:
Step 1: Write the data
Total bill = $170
Penalty = $7.72
Percentage of penalty = ?
Step 2: Write the formula to find the percentage of penalty
Percentage of penalty = Penalty/Total bill * 100
Percentage of penalty = 7.72/170 * 100
Percentage of penalty = 4.54%
Therefore, the percent of penalty is 4.54%
!!
What is the following product 3 square root 2(5 square root 6-7 square root 3
Answer:
30√3 - 21 √6
Step-by-step explanation:
The given expression is:
3√2 (5√6 -7√3)
We cannot subtract the values inside the bracket because the values inside the radicals are not same.
So multiply 3√2 with the bracket.
=3*5√2*6 - 3*7√2*3
=15√12 - 21√6
Now break √12
=15√4*3 - 21√6
write √4*3 separately:
=15√4 *√3 - 21√6
We know that √4 = 2
=15*2*√3 - 21√6
=30√3 - 21 √6
Therefore the answer is 30√3 - 21 √6 ....
What’s the exact value of Cos(127.5)? Using trig identities like half angle and PLEASE EXPLAIN
To find the exact value of cos(127.5), we can use the half angle identity for cosine. By substituting the angle into the half angle identity and simplifying, we find that cos(127.5) is approximately ±0.99992.
Explanation:The cosine function is a trigonometric function that relates the angle of a right triangle to the ratio of the adjacent side to the hypotenuse. To find the exact value of cos(127.5), we can use the half angle identity for cosine. This identity states that cos(θ/2) = ±√((1 + cos(θ))/2), where θ is the original angle.
In this case, we have θ = 255 degrees (since 127.5 is half of 255). Using the half angle identity, we can calculate cos(127.5) as follows:
Convert 255 degrees to radians: 255° × π/180 = 4.45 radiansSubstitute θ = 4.45 into the half angle identity: cos(127.5) = ±√((1 + cos(4.45))/2)Calculate cos(4.45): cos(4.45) ≈ 0.9997Substitute the value into the half angle identity: cos(127.5) = ±√((1 + 0.9997)/2)Simplify the square root: cos(127.5) ≈ ±√(1.9997/2)Divide the numerator and denominator by 2: cos(127.5) ≈ ±√0.99985Take the square root: cos(127.5) ≈ ±0.99992Therefore, the exact value of cos(127.5) is approximately ±0.99992.
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Figure A is a scale image of Figure B. What is the value of x?
In a scale model, Figure A has one side measuring 45 units and another side measuring x, while Figure B has corresponding sides of 27 and 18 units. By setting up a proportion, x is determined to be 30 units.
To find the value of x, we can set up a proportion based on the given information:
In Figure A, one side is 45, and in Figure B, it corresponds to a side of 27.
In Figure A, the other side is x, and in Figure B, it corresponds to a side of 18.
So, we can set up the following proportion:
(45 / 27) = (x / 18)
Now, cross-multiply and solve for x:
45 * 18 = 27x
810 = 27x
Now, divide by 27 to find the value of x:
x = 810 / 27
x = 30
So, the value of x is 30.
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Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.
Algebraically prove that a clockwise and counterclockwise rotation of 180° about the origin for triangle ABC are equivalent rotations.
Answer:
See explanation
Step-by-step explanation:
Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).
Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.
We apply the 90 degrees clockwise rotation rule.
[tex](x,y)\to (y,-x)[/tex]
[tex]\implies A(-3,6)\to (6,3)[/tex]
[tex]\implies B(0,4)\to (4,0)[/tex]
[tex]\implies C(2,6)\to (6,-2)[/tex]
We apply the 90 degrees clockwise rotation rule again on the resulting points:
[tex]\implies (6,3)\to A''(3,-6)[/tex]
[tex]\implies (4,0)\to B''(0,-4)[/tex]
[tex]\implies (6,-2)\to C''(-2,-6)[/tex]
Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.
We apply the 90 degrees counterclockwise rotation rule.
[tex](x,y)\to (-y,x)[/tex]
[tex]\implies A(-3,6)\to (-6,-3)[/tex]
[tex]\implies B(0,4)\to (-4,0)[/tex]
[tex]\implies C(2,6)\to (-6,2)[/tex]
We apply the 90 degrees counterclockwise rotation rule again on the resulting points:
[tex]\implies (-6,-3)\to A''(3,-6)[/tex]
[tex]\implies (-4,0)\to B''(0,-4)[/tex]
[tex]\implies (-6,2)\to C''(-2,-6)[/tex]
We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.
Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).
Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.
We apply the 90 degrees clockwise rotation rule.
(x,y) --- (y, -x)
A(-3, 6) > (6, 3)
B(0, 4) > (4, 0)
C(2, 6) > (6, -2)
We apply the 90 degrees clockwise rotation rule again on the resulting points:
(6, 3) > A'(-3, 6)
(4, 0) > B'(0, -4)
(6, -2)> C'(-2, -6)
Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.
We apply the 90 degrees counterclockwise rotation rule.
(x,y) --- (-y, x)
A(-3, 6) > (-6, -3)
B(0, 4) > (-4, 0)
C(2, 6) > (-6, 2)
We apply the 90 degrees counterclockwise rotation rule again on the resulting points:
(-6, -3) > A'(3, -6)
(-4, 0) > B'(0, -4)
(-6, 2) > C'(-2, -6)
We can see that A'(3,-6), B'(0,-4) and C'(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.
Ez why to copy
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
TYSM
Answer:
Area of the polygon = 59 in²
Explanation:
From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle
Therefore:
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
1- getting the area of the upper triangle:
We have:
base of triangle = 7 in
height of triangle = 6 in
Therefore:
Area of upper triangle = [tex]\frac{1}{2}*base*height = \frac{1}{2}*7*6=21[/tex] in²
2- getting the area of the side triangle:
We have:
base of triangle = 4 in
height of triangle = 5 in
Therefore:
Area of upper triangle = [tex]\frac{1}{2}*base*height = \frac{1}{2}*4*5=10[/tex] in²
3- getting the area of the rectangle:
We have:
length of rectangle = 7 in
width of rectangle = 4 in
Therefore:
Area of rectangle = length x width = 7 x 4 = 28 in²
4- getting the total area of the polygon:
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
Therefore:
Area of polygon = 21 + 10 + 28 = 59 in²
Hope this helps :)
Write the equation of the line that passes
through the points (0,-5) and (1,-9).
I’m stuck....:(
Answer:
The slope is -4.
Step-by-step explanation:
Slope formula:
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}[/tex]
[tex]\displaystyle \frac{(-9)-(-5)}{1-0}=\frac{-4}{1}=-4[/tex]
Therefore, the slope is -4, and the correct answer is -4.
Hope this helps!
WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY
A. What 3 consecutive even numbers added together equal 42? Use the equation n+(n+2) +(n+4)=42 to help you solve
B. Give an example of an equation that has a solution of 5.
Answer:
A) 12,14,16
B) 3x+1=16
Step-by-step explanation:
A)
They already gave you the equation to solve:
n+(n+2)+(n+4)=42
n+n+2+n+4=42
Put like terms together:
n+n+n+2+4=42
Combine the like terms:
3n+6=42
Subtract 6 on both sides:
3n=42-6
Simplify:
3n=36
Divide both sides by 3:
n=36/3
Simplify:
n=12
If n=12,
then
n+2=14 and
n+4=16.
Check the addition of those numbers: 12+14+16=26+16=42.
B)
There is a lot of equations that have a solution of 5.
It might be good start with x=5.
Then just remember whatever you do to one side, you must do to the other.
x=5
Multiply both sides by 3:
3x=15
Add 1 on both sides:
3x+1=16
An example of equation that solution 5 is 3x+1=16.
Write the polar coordinates (3, 3) in rectangular form,
a. (0,3)
c. (-3,0)
b. (3,0)
d. (0,-3)
Please!!!!! I really need help on this one
Answer:
C
Step-by-step explanation:
(-3,0)
I did it in the quiz and the test.
Got it correct.
Sketch a graph that includes 2 labeled points; also be sure to include the asymptote:
f(x) = 3^x-1 + 2
Answer:
See attachment
Step-by-step explanation:
The given function is:
[tex]f(x)=3^{x-1}+2[/tex]
This is an exponential function with a horizontal asymptote at [tex]y=2[/tex]
There is a translation of the form [tex]f(x)=g(x-1)+2[/tex]
The graph of the parent function [tex]g(x)=3^{x}[/tex] is shifted to the right 1 unit and shifted up by 2 units.
See attachment for graph.
Can anyone explain this? Thanks.
Answer:
Jay needs a 94 on his next test to get an average of 93 on all of his exams.
Step-by-step explanation:
The way test averages work is you take the sum of all of your tests and divide it by the number of tests. So he got an 87 on test 1, a 98 on test 2, and an unknown score on test 3 because he hasn't taken it yet.
Let x = that unknown score. The number of tests is 3. So we set up our equation as:
(87 + 98 + x) / 3
He wants an average of 93 so we set the equation equal to just that.
(87 + 98 + x) / 3 = 93
In order to isolate the numerator equation by itself, we multiply both side by 3. That way the 3 in the denominator on the left side cancels out. You now have:
87 + 98 + x = 93(3)
Simplify:
185 + x = 279
Now to get x by itself, we subtract 185 from both sides:
x = 279 - 185
x = 94
He needs a score of 94 on the next test for the test average that he wants.
what is the sum of the geometric sequence-1,6,36 if there are 6 terms
Answer:
The sum is [tex]9,331[/tex]
Step-by-step explanation:
we have
[tex]1,6,36,...[/tex]
we have
[tex]a1=1[/tex]
[tex]a2=6[/tex]
[tex]a3=36[/tex]
Find the common ratio r
[tex]a2/a1=6/1=6[/tex]
[tex]a3/a2=36/6=6[/tex]
The common ratio is r=6
The formula to calculate the sum in a geometric sequence is equal to
[tex]S=a1\frac{(1-r^{n})}{(1-r)}[/tex]
where
n is the number of terms
r is the common ratio
a1 is the first term
we have
[tex]n=6[/tex]
[tex]a1=1[/tex]
[tex]r=6[/tex]
substitute
[tex]S=(1)\frac{(1-(6)^{6})}{(1-6)}[/tex]
[tex]S=\frac{(1-(6)^{6})}{(-5)}[/tex]
[tex]S=9,331[/tex]
What is the slope-intercept equation for the line below?
(4.1)
(0, -4)
Answer:
y=5/4x-4
Step-by-step explanation:
C. y = 5/4x - 4.
What is slope-intercept?One of the three ways we may express a straight line is in slope-intercept form. The other forms are known as point slope form and standard form, however in this section we will mostly use slope-intercept form. The slope-intercept form is used to write a line's equation as y = mx + c.
You may be aware that a point's coordinates on a graph are x and y.
Given two coordinates of a line from that, we can calculate the slope.
slope m = (y₂ - y₁) / (x₂- x₁)
m = 5/4
Put the value of m and one coordinate value in the slope-intercept equation
-4 = 5/4 * 0 + c
c = -4
therefore slope-intercept equation of given coordinates is y = 5/4x - 4.
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The equation tan(55°)= 15/b
can be used to find the length of AC
What is the length of Ac? Round to the nearest tenth.
Answer: [tex]AC=10.5[/tex]
Step-by-step explanation:
Assuming that [tex]b=AC[/tex] and given the following equation:
[tex]tan(55\°)=\frac{15}{b}[/tex]
You need to solve for "b" in order to find the lenght of AC asked in the exercise.
Therefore, with this procedure you get that the lenght of AC is the following:
[tex]\frac{15}{tan(55\°)}=b[/tex]
[tex]b=AC=10.5[/tex]
What are the slope and the y-intercept of the linear function that is represented by the equation y=-10x+1
The slope is [tex]-10[/tex] and the y-intercept is [tex]1[/tex].
Explanation:This function is written in slope-intercept form, which is [tex]y=mx+b[/tex]. In this form, [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
In this case, [tex]m=-10[/tex] and [tex]b=1[/tex], so those are the answers to this problem.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We have the following equation:
[tex]y = -10x + 1[/tex]
So we have to:
[tex]m = -10\\b = 1[/tex]
Answer:
[tex]m = -10\\b = 1[/tex]