Answer: 3x^2 − 11x − 42
Step-by-step explanation:
Simplify (x − 6) (3x + 7)
Expand (x − 6) (3x + 7) using the FOIL Method.
Apply the distributive property.
x (3x + 7) − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Simplify and combine like terms.
Rewrite using the commutative property of multiplication.
3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x by adding the exponents.
Move x.
3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x.
3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Move 7 to the left of x.
3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7
Multiply 3 by −6.
3x^2 + 7x − 18x − 6 ⋅ 7
Multiply −6 by 7.
3x^2 + 7x − 18x − 42
Subtract 18x from 7x.
3x^2 − 11x − 42
Help.
Please show workings.
See image for question.
Question :
1. Find the gradient of the tangent to the curve y = 2x²+5x-3 at the point where x = 1.
2. Find from first principle, the derivative of 3/x with respect to x
Answer:
dy/dx
= d/dx [2x² + 5x - 3]
= 4x + 5.
Hence at x = 1, dy/dx = 4(1) + 5 = 9.
The slope of the tangent is 9.
d/dx (3/x)
= d/dx (3x^-1)
= 3 * d/dx (x^-1)
= 3 * [-1 * x^(-2)]
= -3/x².
Find the slope of the line whose equation is 7x - 2y = 4.
-2
7/2
4/7
1. i will give you brainliest if ur right
Answer:
the answer of this question is......
I think 134
but I can't explain that
I'm so sorry
:-/
Answer:
141
Step-by-step explanation:
This is a seven-sided pentagon. We can find the total sum of all the angles in the pentagon first.
Sum of angles in a pentagon = (7-2) × 180
= 5 × 180
= 900
∠B = 900 - 148 - 90 - 142 - 130 - 129 - 120
= 141
Remember:
Formula of sum of angles in pentagon = (n-2) × 180 where n is the number of sides the pentagon has. Hope this helps :)
please help will give brainly
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2
Answer:
I hope this helps sorry if I'm wrong
Answer:
y = 1x
Step-by-step explanation:
y
[tex]y \geqslant 1x + 2[/tex]
cancel out the +2 by using the opposite sign and add a 1 in front of the x
which expression is equivalent to (3a+7) (2a-5)?
If you want me to simplify this is the answer.... 6a^2-a-35
30 points plz help
Use the draggable points to graph the equation
1
y=
2x+3
Answer:
Yeah its 7 because when you add 3+2=5, and x is 2, its 7
The set of ordered pairs below represents a function.
(5,8) , (-8,1) , (15,-4), (-1,16), (17,7)
Mariela claims that she can add any point to the set and it will still represent a function.
Which of the following points can be used to show that Mariela's claim is incorrect?
Select all that apply.
(1,1)
(-8,6)
(17,-3)
(-5,8)
(-1,-16)
(1,1)
(-1,-16)
(-5,8)
(-8,6)
(17,-3)
write a similarly statement comparing the two triangles
Answer:
C. ΔBDC+~+ΔEDA
Step-by-step explanation:
Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;
<B ~ <E
<C ~ <A
D is a common angle to both triangles (right angle).
Also,
BC ~ EA
DC ~ DA
BD ~ ED
Thus, the statement that compares the two triangles is:
ΔBDC+~+ΔEDA (similarity property)
Beth pays a total of $20 to rent skates and go ice skating for 2 hours.
If the cost for the skate rental is $6, what is the cost for each hour of ice skating?
Part A
Write and solve an equation to find the cost for skating for 2 hours before the skate-rental cost. Use s for the unknown number.
Hint
=S
S=
7
8
9
5
6
No
Answer:
for 2 hours of skating it will be 12$
Step-by-step explanation:
6+6=12 . (:
Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.
8x-4y=24
sub 8x from both sides
-4y=24-8x
sub 24
-4y-24=-8x
add -4y
-24=4y=8x
Answer:
y=2x-6
Step-by-step explanation:
First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.
8x-4y=24
Subtract 8x from both sides to cancel out the 8.
You should have the equation below left:
-4y= -8x+24
Now, divide everything by negative for so that you are only left with the y.
You should have the equation below left.
y=2x-6
I hope this helped:)
Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $
Answer:
The total cost is [tex]\$23[/tex].
Step-by-step explanation:
Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].
To find: The total cost
Solution:
We have,
Original price of calculator[tex]=\$100[/tex]
Discount [tex]=80\%[/tex]
Sales tax [tex]=15\%[/tex]
Now, first we need to find the cost after applying the discount.
So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]
Therefore, the cost after applying the discount
[tex]=\$100-\$80=\$20[/tex]
Now, we have to find the sales tax. Therefore,
Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]
So, the total cost is [tex]\$20+\$3=\$23[/tex].
Hence, the total cost is [tex]\$23[/tex].
Answer:
$23
Step-by-step explanation:
Hope this helps
I need helppppp........
Answer:
41*
Step-by-step explanation:
what is the difference between an isosceles triangle and an equilateral?
A triangle that has 2 sides congruent is called an isosceles triangle.
A triangle that has all 3 sides congruent is called an equilateral triangle.
I have attached a picture below which will help you.
Who's taking geometry and can help me?
I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?
Answer:
5.9125in^2
Step-by-step explanation:
Step one:
Given data
Dimension of square= 5.25 in
Area of sqaure= 5.25^2= 27.5625 in^2
We are told that the sides of the circle touch the sides of the square
hence the diameter of the circle is 5.25in
radius= 5.25/2= 2.625 in
Area of circle= πr^2
Area of circle = 3.142*2.625^2
Area of circle=3.142*6.890625
Area of circle= 21.65 in^2
Step two:
The area that is not inside the circle
=Area of square-Area of circle
=27.5625- 21.65
=5.9125in^2
PLEASE HELP I NEED HELP ASAP
What is the equation of a line perpendicular to y=x+12 that passes through (12,3) ?
I KNOW THE STEPS BUT I NEED TO KNOW IF M = 1 in y=mx+b
Answer:
[tex]y=-x+15[/tex]
Step-by-step explanation:
Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Any line perpendicular to a given line with slope [tex]m[/tex] has a slope of [tex]-\frac{1}{m}[/tex]. Therefore, the slope of a line perpendicular to [tex]y=x+12[/tex] is [tex]-\frac{1}{1}=-1[/tex].
We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:
[tex]3=-1(12)+b,\\b=15[/tex]
Therefore, the equation of the line that is perpendicular to [tex]y=x+12[/tex] and passes through the coordinates [tex](12,3)[/tex] is [tex]\fbox{$y=-x+15$}[/tex].
There are 48 jelly beans in a jar. The ratio of jelly beans
that are purple to the jelly beans that are not purple is
1:3. How many jelly beans are purple?
Sophie is buying a gold chain. The gold chain costs $2.50 per centimetre. How many centimetres can she buy if she has $30 to spend? *
Answer:
12 centimeters
Step-by-step explanation:
30/2.50 is 12
Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true
Answer:
[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]
I need help asapp pls
Easy area question
Need fast
Answer:
Ah I see it's the same it's a little more complex but I can do this as well.
But I can't type bcoz it will make it slow
so I'll write for this.ß
Solve for a sqrt(a - b + c) = 3
[tex]\bold{\sqrt{a-b+c}=3 }[/tex]
[tex]\bold{(\sqrt{a-b+c)}^2=3^2 }[/tex]
[tex]\bold{ a-b+c=9 }[/tex]
[tex]\bold{ a=9+b-c }[/tex]
how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )
Answer:
the first step in solving an equation with a variable on each sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.
Step-by-step explanation:
The diagonal shortcut across a rectangular parking lot is 169 feet long. The lot is 144 feet wide. What is the length of the lot?
11.0 feet
25.5 feet
88.5 feet
110.5 feet
Answer: I think it is 25.5ft
I dont understand pls help me
Answer:
-1/3
Step-by-step explanation: it goes downwards from left to right so it is a negative and to reach the next line below it, it went to the right 3 units.
Therefore it is -1/3 :)
Do these 3side lengths from a right triangle 13,80and 81
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 81
81² = 6561
13² + 80² = 169 + 6400 = 6569
Since 6561 ≠ 6569 then they do not form a right triangle
Using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.
What is reverse Pythagoras theorem?Reverse Pythagoras theorem states that "the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right triangle".
What is right triangle?
A triangle in which "one angle is 90° and the other two sides are perpendicular to each other is called right triangle."
According to the question,
Three sides lengths of triangle 13, 80 and 81. In order to find this triangle is right triangle or not.
Let a = 13, b=80, and c = 81
Reverse Pythagoras theorem c² = a² + b²
(81)² = (13)² + (80)²
6561 = 169 + 6400
6561 ≠ 6569
Hence, using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.
Learn more about reverse Pythagoras theorem here
https://brainly.com/question/343682
#SPJ2
82% of 23.7 is what ?
a)28.9
b)146.9
c)1943.4
d)19.4
*with work done plz:)
Answer:
the answer is C
Step-by-step explanation:
hope this helps you
.82×23.7=19.434
Answer:
D
Step-by-step explanation:
step 1: Simplify 82/100 to its simplest form to by two to get 41/50
Step 2: multiply 41 by 23.7
41×23.7= 1971.7
Step 3: Divide 1971.7÷50=19.434
to the nearest hundredths =
19.4
The average price of a movie ticket in 20 years will be at least $6 less than seven-thirds of today’s average ticket price. What could be the price of a movie ticket in 20 years if the current average price is $8.70? (Write an inequality or equation and solve it)
Answer:
This was on my test
Step-by-step explanation:
lol
Find AC.
Round to the nearest tenth.
B
86°
16
С
11
A
Answer:
19.4
Step-by-step explanation:
16^2+11^2=377
then square 377 which will equal to
19.416 which can be rounded up to 19.4
Which algebraic expression represents this mathematical statement? 32 more than a number
A. m
B. s
C. d
D. x