Answer:
range: {6, 1, -1}
Step-by-step explanation:
y = 4-x
when x = -2, y = 6
when x = 3, y = 1
when x = 5, y = -1
Expand and simplify (x - 2)(x - 1)
Answer:
x^2 -3x+2
Step-by-step explanation:
(x - 2)(x - 1)
FOIL
first: x*x = x^2
outer: -1*x = -x
inner: -2*x =-2x
Last: -2*-1 =2
Add together
x^2 -x-2x+2
Combine like terms
x^2 -3x+2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(x - 2)(x - 1)}[/tex]
[tex]\large\textsf{DISTRIBUTE}[/tex]
[tex]\large\textsf{x(x) + x(-1) - 2(x) -2(-1)}[/tex]
[tex]\large\textsf{x(x) = }\mathsf{\bf x^2}[/tex]
[tex]\large\textsf{x(-1) = -1(x) = \bf -1x}[/tex]
[tex]\large\textsf{-2(x) = \bf -2x}[/tex]
[tex]\large\textsf{-2(-1) = \bf 2}[/tex]
[tex]\mathsf{= \bf x^2 - 1x - 2x + 2}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(-1x - 2x)}[/tex]
[tex]\mathsf{= \bf -3x}[/tex]
[tex]\large\textsf{SOLVE for the ANSWER:}[/tex]
[tex]\mathsf{x^2 - 3x + 2}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf x^2 - 3x + 2}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!
Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Points (3,2) and (6,11)
[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]
Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=3(3)+b\\2=9+b[/tex]
Subtract 9 from both sides
[tex]2-9=9+b-9\\-7=b[/tex]
Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-7[/tex]
I hope this helps!
2.
Find the value of x. If necessary, round to the nearest tenth.
A. 13.7 in.
B. 11.7 in.
C. 9.7 in.
D. 6.9 in.
Answer:
A
Step-by-step explanation:
13.7
16) One exterior angle of an isosceles triangle is 70°. a) Find the possible measures of the other two exter angles. b) How many answers can you find? Explain.
Answer:
The other exterior angles must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.
Step-by-step explanation:
For an exterior angle, we know that an exterior angle added with its corresponding interior angle is equal to 180 degrees. Thus, 180 = 70 + i, or the interior angle. i is then 110 degrees.
An isosceles triangle has two equal angles. As a triangle can only be 180 degrees. we cannot have 2 of i, as doing so would be equal to 220 degrees. Therefore, for the other two interior angles, they must be equal. Representing o, their angles could be put into an equation of 110 + 2o = 180, so o = 35.
For the other exterior angles, their corresponding interior angles are equal to 35 each, so they must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.
What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)
Answer:
below
Step-by-step explanation:
that is the solution above
The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
What is Algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Here, given expression;
[tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]
[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]
[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
Learn more about Algebraic expression from:
https://brainly.com/question/953809
#SPJ2
Zzzzzzzhelpzzzz zzzzzzzz
the answers are A and D hope this helped
if 6 = 68 degrees, find the measures of angles 4, 5 ,7
Answer:
4 = 68
5 = 112
7 = 112
Step-by-step explanation:
Hope it helps
I hope it's helpful .....
PLEASE HELP FAST!!!!!!!!!
Answer:
First: [tex]y = \frac{4}{7} x + 2[/tex]
Second: [tex]y = -\frac{1}{7} x + 2[/tex]
Third: [tex]y = x + 2[/tex]
Fourth: [tex]y = \frac{1}{7} x + 2[/tex]
solving system by substitution Help ASAP
Answer:
c is 3
d is 10
Step-by-step explanation:
see photo :)
Answer:
Hello answer:
c = 3
d = 10
Step-by-step explanation:
2 × c = 6 6 + 4 = 10
10 × 3 = 30 c × 2 = 6 30 + 6 = 36
Y-intersect of the liner function
Answer:
15
Step-by-step explanation:
The y- intercept is the value of y on the y-axis where the line crosses.
The line crosses the y- axis at 15 ← y- intercept
when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist
Answer:
40 L
Step-by-step explanation:
20% empty is the same as 80%full
.8f = .2f + 24
subtract .2f from both sides
.6f = 24
divide both sides by .6
f = 40
VWX and TUX are equilateral complete proof that UV = TW
Answer:
6. Side Angle Side (SAS)
7. Definition of congruence
Step-by-step explanation:
With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:
Statement Reason
1. ΔVWX is equilateral Given
2. ΔTUX is equilateral Given
3. VX ≅ WX Definition of equilateral triangle
4. TX ≅ UX Definition of equilateral triangle
5. <TXW ≅ <UXV Vertical Angle Theorem
6. ΔTWX ≅ ΔUVX Side Angle Side (SAS)
7. UV ≅TW Definition of congruence
Please help !
What is 92% of 17?
Answer:
15.64
Step-by-step explanation:
92% of 17 we can write it like this!
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
92% goes in part, 17 goes in whole then 100% below 92!
[tex]\frac{92}{100} =\frac{x}{17}[/tex]
Then, 17 × 92 = 1,564 ÷ 100 = 15.64
Just wanna double check my answer on this one. I got a profit of 60%
Answer:
Yes the answer is indeed 60%
the answer is 60% so you are correct
The pattern 96, 92, 88, 84, ________ follows the "subtract 4" rule. Study the pattern to find traits that are not obvious in the rule. Explain.
HELP ASAP
Answer:
80
Step-by-step explanation:
add from bottom to the top
7.8 is what percent of 78?
Answer:
10 %
Step-by-step explanation:
let the percent be x
according to the question
7.8 = x % 0f 78
7.8 = x /100 * 78
7.8*100 = 78x
780 = 78x
780/78 = x
10 = x
Answer:
10 percent
Step-by-step explanation:
7.8 is ? of the number 78.
So, we will multiply 7.8 by 100.
7.8 x 100 = 780
Now, we will divide 780 by 78.
780/78 = 10
So, our answer is 10.
Or, you can divide:
78 divided by 7.8 is 10
Find the difference. Show your solutions as two steps: First rewrite the subtraction as addition; then carry out the addition to find the answer. 8 − 5 = 8 + 8+5 Incorrect: Your answer is incorrect. = 45 Incorrect: Your answer is incorrect.
Answer:
[tex]8 - 5 = 3[/tex]
Step-by-step explanation:
Given
[tex]8 - 5 =[/tex]
Required
Solve
Step 1: Write as addition
Simply change the positions of -5 and (+)8
[tex]8 - 5 = -5 + 8[/tex]
Step 2: Add
[tex]8 - 5 = 3[/tex]
Which of the following could be the measure of the angle below?
Answer:
There is nothing below.
Step-by-step explanation:
You have a hospital bill of $14,000. You have an insurance plan that has a $2,000 deductible and a 20% coinsurance clause. How much do you pay towards the total bill?
Answer:
4400
Step-by-step explanation:
First take off your deductible
14000-2000
12000
Now find 20 % of this amount
12000*20%
12000 * .20
2400
You have to pay the deductible and the 20%
2000+2400
Match each product of powers with its simplified expression
= 5-³ -³
= 5-⁶
= 1/5⁶
5⁷ × 5³= 5⁷+³
= 5¹⁰
5⁶×5 -⁴= 5⁶ - ⁴
= 5²
5-⁴×5⁴×5⁰= 5-⁴ + ⁴ × 1
= 5⁰
Answer:
answser in picturew
Step-by-step explanation:
ASAP I HAVE A MATH FINAL PLEASE
<2 and <6 -----> Neither
<1 and <4 ------> vertical
Hope it helps you...
if x:y=5:3 then (8x-5y): (8x+5y)=?
Does the equation x² - 4x + y2 = -3 intersect the x-axis?
a. yes, because the center is on the x-axis.
b. no, because the center is at (2,0) and the radius is 1
c. no, because the circle is entirely in the first quadrant.
d. yes, because the center is at (-2,0) and the radius is 3.
Answer: a. yes, because the center is on the x-axis.
========================================================
Explanation:
The x intercepts always occur when y = 0.
Replace y with 0 and solve for x
x^2-4x+y^2 = -3
x^2-4x+0^2 = -3
x^2-4x+0 = -3
x^2-4x = -3
x^2-4x+3 = 0
(x-3)(x-1) = 0
x-3 = 0 or x-1 = 0
x = 3 or x = 1
This shows that the x intercepts are located at (3,0) and (1,0). Refer to the diagram below. The diagram shows that the roots are at points A and B. The center is the midpoint of A and B. The center is also on the x axis.
-----------------
Here's another approach:
The general template of a circle is (x-h)^2 + (y-k)^2 = r^2
Let's complete the square of the original given equation to get it into that template form above.
x^2 - 4x + y^2 = -3
(x^2-4x) + y^2 = -3
(x^2-4x+4) + y^2 = -3+4 ... add 4 to both sides
(x-2)^2 + y^2 = 1
(x-2)^2 + (y-0)^2 = 1^2
The equation is now in the template form mentioned earlier. The center is at (h,k) = (2,0) which is on the x axis.
help with trigonometry plz
Answer:
Below,
Step-by-step explanation:
a. cos O = adjacent side/hypotenuse
= 88.3/117
= 0.75470
O = 41 degrees.
b. sin O = opposite side/hypotenuse
= 2.4/3.8
= 0.63158
O = 39 degrees
What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2
Answer:
D. -3,-2
Step-by-step explanation:
Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]
Write equation for the line that is parallel to the x axis and passing through (3,2)
Answer:
y = 2
Step-by-step explanation:
horizontal lines are parallel to the x-axis
The horizontal line through (3, 2) is
y = 2
z = 3. & y = 6
Evaluate the
expression: Y - Z
Answer:
6-3=3
3 is the answer because they gave you the value of Y and Z then they asked you to subtract
Find the equation in terms of x of the line through the points (-4,-6) and (1,9)
Answer:
y = 3x + 6
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - (-6) / 1 - (-4)
15/5
= 3
y = 3x + b
9 = 3(1) + b
9 = 3 + b
6 = b
what is the height of this triangle?
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
MATH QUESTION HELP ME PLS, KINDA URGENT!!
I need to resolve this with the elimination method
x +y +z = 13
x–z = −2
−2x +y = 3
how-?
Answer:
x= 2
y= 7
z= 4
Step-by-step explanation:
Equation 1: x+y+z=13
Equation 2: x-z= -2
Equation 3: -2x+y=3
Add equation 2 and 1
(x+y+z)+(x-z)= 13 -2
2x+y= 11
Add this to equation 3
(-2x+y)+(2x+y)= 11+3
2y= 14
y= 7
Plug in y= 7 to equation 3
-2x+(7)= 3
-2x+7=3
-2x= -4
x= 2
Plug x=2 into equation 2
2-z= -2
4 = z
