Answer:
gradient = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Calculate the gradient m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (4, 5)
m = [tex]\frac{5+1}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
1-2 Write an equation for each situation.
1. A bookstore ordered boxes of pencils for resale. The cost of the pencils was
$2.25 per box, and the shipping cost of the order was $2.80.
Answer:
y = 2.25x + 2.80
Explanation:
$2.25 dollars per box.
$2.80 Shipping is always added.
What is the value of the function at x = 3? Enter your answer in the box.
Answer:
4
Step-by-step explanation:
When x is 3, y is 4
To do this, go to the right 3 units and go up until the line intersects with a grid point
At three, y is 4
Answer:
4
Step-by-step explanation:
i took the test
Simplify these expressions:
1. 2x + 8x
2. (5y) - 10y
3. W + 14w - 6w
4. 4x - 5x -6
Answer:
Theyre out of order.
Step-by-step explanation:
The ratio of dogs to cats at a pet store is 3:4 Which of these shows the
possible numbers of dogs and cats in the pet store?
Answer:
Step-by-step explanation:
6/8
12/16
24/32
Those are some samples. You have to give us choices.
Follow my Pinterest 13jadyn13
Answer:
okay first you follow me on Pinterest
then I'll flw you back
good night
Solve x4 - 34x2 = -225
Answer:
x= -5,5 and -3,3
What is the roots of f(x)=-x^2-6x-14
Answer:
[tex]x=-3\pm i \sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary roots: √-1 = iStep-by-step explanation:
Step 1: Define function
f(x) = -x² - 6x - 14
Step 2: Set up
Set equation equal to 0: -x² - 6x - 14 = 0Factor out -1: -(x² + 6x + 14) = 0Divide both sides by -1: x² + 6x + 14 = 0Step 3: Define variables
a = 1
b = 6
c = 14
Step 4: Find roots
Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}[/tex]Exponents: [tex]x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}[/tex]Multiply: [tex]x=\frac{-6\pm\sqrt{36-56} }{2}[/tex]Subtract: [tex]x=\frac{-6\pm\sqrt{-20} }{2}[/tex]Factor: [tex]x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}[/tex]Simplify: [tex]x=\frac{-6\pm2i \sqrt{5} }{2}[/tex]Factor: [tex]x=\frac{2(-3\pm i \sqrt{5} )}{2}[/tex]Divide: [tex]x=-3\pm i \sqrt{5}[/tex]steve saw 313 birds during a bird-watching trip to Yellowstone National park.he observes 15 more trumpeter swans then sand hill cranes.he saw twice as many mountain chickadees as ducky grouses.how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses
I need this ASAP
Answer:
82 ducky grouses, 41 trumpeter swans, 26 sand hill cranes, 164 chikadees
Step-by-step explanation:
The length of a rectangle is four times its width.
If the area of the rectangle is 144 ft, find its perimeter.
Answer:
y = mx + c
since m = 0
c = 9
Answer: 60
suppose: the width of a rectangle is x (x > 0)
⇒ The length of a rectangle is 4x
because the area of the rectangle is 144 ft
=> 4x.x = 144
⇔ x² = 144/4 = 36
⇒ x = 6
with x = 6 ⇒ The length of a rectangle is 4.6 = 24
the perimeter of the rectangle is (6 + 24).2 = 60
Step-by-step explanation:
Graph the line.
y=3x-7
Step-by-step explanation:
so the -7 means that the line will cross the y-axis at the point (0,-7). from there, we knows the slope is 3. slope is rise over run, so 3 over 1. we go up 3 and over 1
a force of 10 newtons acts in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
a. 2.59 joules
b. 3.88 joules
c. 38.82 joules
d. 150.00 joules
Answer:
150 JoulesStep-by-step explanation:
Step one:
Given data
Force F= 10N
the distance is described by the coordinate = (0,0) to (15,0)
hence the distance = 15m in the x-direction.
Step two:
Required is the work done
we know that work done is expressed as
Wd= Force* Distance
Wd= 10*15
Wd= 150 Joules
Answer:
38.82
Step-by-step explanation:
what does 4(3+2x) equal
Answer: 12+8x
Step-by-step explanation:
1) 4(3+2x)- Distribute the 4
4x3+4x2x t get 12+8x
HELP I WILL GIVEBRAINLIST! FALSE ANSWERS OR SPAM WILL BE REPORTED!!!!1
What do the differences between the points (as shown on the graph) represent? On a coordinate plane, point B is at (2, 7) and point D is at (4, 14). StartFraction 7 over 2 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph. StartFraction 2 over 7 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph. StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1. StartFraction 2 over 7 EndFraction can be used to find the unit rate if one divides 2 by 7 and compares the result to 1.
Answer:
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have the points
B(2, 7) and D(4, 14)
substitute the values
The unit rate is
therefore
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Step-by-step explanation:
Answer:
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have the points
B(2, 7) and D(4, 14)
substitute the values
The unit rate is
therefore
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
he difference of two numbers is 841. The smaller of the numbers is 471. What is the other number?
Answer:
The answer is 1,312
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
Help! What is the solution to the system shown below?
Answer:
3,-2
Step-by-step explanation:
the solution set is the point where the two lines intercept. in this case it's 3,-2
Please help me with this problem
Answer: 66 degrees
Let's solve your equation step-by-step.
7x+3+x+55=14x−5+x
Step 1: Simplify both sides of the equation.
7x+3+x+55=14x−5+x
7x+3+x+55=14x+−5+x
(7x+x)+(3+55)=(14x+x)+(−5)(Combine Like Terms)
8x+58=15x+−5
8x+58=15x−5
Step 2: Subtract 15x from both sides.
8x+58−15x=15x−5−15x
−7x+58=−5
Step 3: Subtract 58 from both sides.
−7x+58−58=−5−58
−7x=−63
Step 4: Divide both sides by -7.
−7x
−7
=
−63
−7
x=9
7(9) + 3
63 +3
<U = 66
Alunch bill cost $72. If you leave your server a 20% tip how much will you be leaving as the tip?
Answer: $14.4
Step-by-step explanation:
To calculate the tip, you need to multiply the bill times .2. So 72x .2 = 14.4
John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. Find the total number of pages in the novel.
Answer:
The novel has 117 pages
Step-by-step explanation:
Let p be the pages in the novel
p − 3 = 114
p = 117
Answer:
351
Step-by-step explanation:
114 = p/3 - 3
p/3 = 117
p = 351 page
Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (^o^)NEED HELP ASAP
Amy incorrectly says that this product is 15/77. What is the correct product? What was Amy's likely error?
Answer:
likely error she made was saying 77 divided by 15
Consider the line y=-2/5x+7
Find the equation of the line that is parallel to this line and passes through the point (-4, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 4).
Equation of parallel line:
Equation of perpendicular line:
Answer:
Paraellel: y=-2/5x+12/5
Perpendicular: y=5/2x+14
Step-by-step explanation:
hope this helps <3
There are 2.54 centimeters in 1 inch. There are 100 inches in 1 meter. How many meter are in 158 inches?
Answer:
1.58 meters
Step-by-step explanation:
What is the volume of material he must purchase?
2 ft3
4 ft3
6 ft3
8 ft3
Answer:
In this problem, we use the formula for volume which is:
volume=(length*width*height)/3
Since the base of the triangle is a square, we simply know that the length and width is equal.
L = W = 2 ft
H = 6 ft
Solution:
V = (2*2*6)/3V = 8 ft^3
The correct answer is 8 ft^3
Hope this helps.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
trust me bro.
write an equation of the perpendicular bisector of the line segment with coordinates A (4,6) and B ( 8,10)
Answer:
[tex]\sqrt{x}[/tex]Step-by-step explanation:
blah blah blah blah blah i'm fifth grade not highschool bye still give me my point
Given:
Prove:
Answer ASAP, please!:)
Answer:
Whats the question. I think I can help if there is a picture or if there are more words
Taking the square root is the blank of squaring the number
Answer:
Step-by-step explanation:
opposite
How would you do this and how would you graph it on a number line
Answer:
k=-5,5
Step-by-step explanation:
first you calculate (by switching the -6 to the other side)
|k|<-1+6
second you add the -1+6 and get |k|<5
the other part will be that the |k| will turn to - negative.
now you will have -k<5 then not you have to take the negative of -k to only have, (k<-5), k equalling to -5.
But remeber you always flip the < to > when you have the greater-to-equal sign or less-to-equal sign.
Please solve!! Thank you :)
Answer:
5x-1+3x+4+x+11x-21
24x-18=0
24x=18
x=3/4
AB=3/4
BC=3/4
AD=2.25 or 2 1/4
Step-by-step explanation:
IDK if it is right plz let me know if it is
pls tell me someone knows they answer .. I mark brainliest
Answer:
The Maya were among the first people to use cacao seeds to make chocolate
Explanation:
The maya were one of the first people to use cacao to make chocolate. They would roast and crush the beans into paste. The often combined the paste with water.
When the Maya discovered that they could use cacao by crushing the pods, adding water and chili peppers they were so amazed by the taste that they called it the drink of the gods. Even today traditional hot chocolate in those areas is made with chili peppers and this way is regarded as one of the best ways of preparing the drink.
What is 0 divided by 0
Answer:
0
Step-by-step explanation:
You can’t divided 0 by 0 so it’s 0
solve for p:
2(p+1)=5(3p+7)
Please help!! I got to the last part of the equation and now I'm lost.
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
p = −33/13
Decimal Form:
p = −2.¯538461 (terminating)
Mixed Number Form:
p = −2/7/13