Answer:
( iii)
a-x/a+x =b
a-x=b(a+x)
a-x=ab+ax
a-ab=ax+x
a-ab=x(a+1)
a-ab/a+1=x(a+1)/a+1
x=a-ab/a+1
x=a(1-b)/a+1
IF F(x) is ax + x² – 152-18
as show that F(3)=0
(
b) Find the factors of F(x).
[tex]x = 3[/tex]
[tex]a(3) \: + \: 3 {}^{2} - 152 - 18[/tex]
[tex]3a \: + \: 9 \: - 134[/tex]
[tex]3a \: - 134 + 9[/tex]
[tex]3a - 143[/tex]
Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!What is the slope of the line ( part 2 )
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
Same as last time, take any 2 points you want:
(0, 3) and (4, 1)
Use the slope formula to calculate the slope:
[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]
On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.
Is -3/4 greater than -0.25
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
Can someone help me plzz
Human bones make up 18% of our body mass. Jason's mass is 59.2 kg. What is the mass of his bones?
Answer:
Bone Mass, Density and Bone Weight
"Bone weight is about 15 percent of your body weight, but determining bone weight is complicated and it does not give us useful information. It is much more important to know about bone density, which is the best way to measure bone mass and bone health," says Dr. Ford.
Step-by-step explanation:
Hope its helps you
Answer:
10.656Step-by-step explanation:
18%*59.2=10.656
Which equation represents a line that is perpendicular to y=3x−4?
Answer:
- 1/3x + 2Step-by-step explanation:
Given line:
y = 3x - 4Perpendicular lines have negative-reciprocal slopes:
m₁*m₂ = - 1Since m₁ = 3, we can find m₂:
3*m₂ = - 1m₂ = - 1/3Given choices:
-1/3x + 2 or 1/3x - 4Correct choice is the first one
What is the closed form definition for the sequence below?
4, -12, 36, -108,...
Note that 4 is considered the 1st term.
Answer:-108
Step-by-step explanation:
you need to put them in order from least to greatest 4, 36, -12, -108
helppppppp pleaseeeee
if somebody can answer this I'll really really appreciate it
Answer:
What is the question?
Step-by-step explanation:
(x + y) (x -y) simplfied and showing work
Answer:
(x+y) + (x-y) = x + y + x - y =2x
(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2
(x+y) ( x-y)
x^2 - y^2
Step-by-step explanation:
A sandwich store charges a $10 delivery fee,and $4.50 for each sandwich.
a. Graph the total cost of sandwiches and delivery based on the number of sandwiches ordered. let x represent the number of sandwiches and y represent the total cost. Be sure to label your axes and scale them by labeling each grid line with a number.
PLEASE PLEASE PLEASE answer this i need to get a good grade on my test its worth 70% of my grade.
The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Let x represent the number of sandwiches and y represent the total cost.
Here is a graph of this equation:
y = 10 + 4.50x
This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).
The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
Without solving the system of equations how can you
determine if the two systems have the same solution?
3x + 6y = 12
x+y = 7
And
6x +12y = 24
x + y = 7
Answer:
Step-by-step explanation:
First Pair.
If you divide the top equation by 3 you get
x + 2y = 12
x + y = 7 From that I get that y = 5
Second pair
Do the same thing to the top equation only this time divide by 6
x + 2y = 4
x + y = 7
If you subtract again you get y = - 3
can someone please do this? nit the mini task though, number 8
1 is C
2 is D
3 is C
4 is A
5 is D
5 is A
7 is B
The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides
Answer:
6, 8, and 10 cm
Step-by-step explanation:
3+4+5=12
24/12=2
2*3=6
2*4=8
2*5=10
Solve one third plus seven ninths equals blank
Question 1 options:
ten twenty sevenths
eight ninths
ten ninths
nine thirds
Answer:
the answer is 10/9.
Step-by-step explanation:
Please give BRANIEST and 5 stars if correct!
Answer:
ten ninths
Step-by-step explanation:
"one third plus seven ninths" can be rewritten symbolically as
1/3 + 7/9 and we note that the LCD is 9. Thus,
1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")
Tute Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $ Submit
Answer:
$68.53. 67%
Step-by-step explanation:
$68. 58 I think I'm not sure
Given: \overline{AE} \parallel \overline{FD},
AE
∥
FD
, \overline{BF} \parallel \overline{EC}
BF
∥
EC
and \overline{AC} \cong \overline{BD}.
AC
≅
BD
.
Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
What is more important: to formulate a believable, testable hypothesis or to develop a good strategy to test the hypothesis accurately
Answer:
It's a matter of opinion. In my opinion you can hypothesize all you want, when you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.
Step-by-step explanation:
A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?
Answer:
Below.
Step-by-step explanation:
1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.
In the same way there are 7 * 4 = 28 grapefruit.
Total pieces of fruit = 12 + 28
= 40.
PLEASE HELP!!
100 POINTS
5^a = 2^b = 10, what is a^-1 +b^-1
Answer:
1.
Step-by-step explanation:
5^a = 10
a log 5 = log 10
a log 5 = 1
a = 1 /log 5
a^-1 = log 5
In the same way:
b = 1 / log 2
b^-1 = log 2,
So a^1 + b^-1 = log5 + log 2 = log (2*5)
= log 10
= 1.
cuanto es "y=2x + 5" ??
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000Name the congruent triangles.
Answer:
ΔOGD≅ ΔPRC
Step-by-step explanation:
help will give brainliest
Answer:
The bar for Spain is between 0 and 50 billion, but is slightly closer to 0 than to 50 so the value will be 20 billion dollars.
helppppppppppppppppppppppppppppppppppppppppp
Answer:
if $15.98----> 2kg
$x --------> 7kg
cross multiply
$x= (15.98 x 7)/2
x = $55.93
The formula for the area of a rhombus with diagonals of lengths c and d is A= 1/2 cd.
a. Solve the formula for c.
b. The area of a rhombus is 35 square feet. The length of one of the diagonals is 10 feet. What is the length of the other diagonal?
c. In a square (which is a rhombus), the lengths of the diagonals are the same. If a square has an area of 32 square feet, then what is the length of each diagonal
Answer:
I think it's A
Step-by-step explanation:
i apologize if I'm wrong
The height of an experimental plant after x days can berepresented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height? Explain.
Answer: No
Step-by-step explanation:
The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.
3(4x+2) = 6(2x+2)
12x + 6 = 12x+2
6 = 12?? No
They will bnever be at the same height. They are growing at the same rate (12x) but starting at different heights (6 and 12)
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
i need help i can’t understand how to solve it so pls help
=====================================================
Work Shown:
1st term = -42nd term = -2*(1st term)+6 = -2*(-4)+6 = 143rd term = -2*(2nd term)+6 = -2*14+6 = -224th term = -2*(3rd term)+6 = -2*(-22)+6 = 50The first four terms are: -4, 14, -22, 50
The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.
656nm into m plzzzzzzzz
Answer:
[tex]6.56\times10^{-7}[/tex]
Step-by-step explanation:
[tex]1nm[/tex] is equal to [tex]1\times 10^{-9}m[/tex] so you have the next relation
[tex]\frac{1nm}{1\times 10^{-9}m} = \frac{656nm}{x}[/tex]
Then isolating [tex]x[/tex] you have
[tex]x = \frac{6.56\times 10^{2}nm \cdot 1\times 10^{-9}m}{1nm} = 6.56\times 10^{-7}m[/tex]
horizontal translation 5 unitss left
Answer:
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Step-by-step explanation:
First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.
Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.
Part I: Horizontal and Vertical Translations
First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:
Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.
The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:
Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.
Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.
Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Vertical Translations:
if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.
Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
Some spiders, dragonflies, and houseflies are kept in three separate enclosures. They have a total of 20 heads, 136 legs, and 19 pairs of wings.
Given that...
a spider has 8 legs and 0 pairs of wings
a dragonfly has 6 legs and 2 pairs of wings
a housefly has 6 legs and 1 pair of wings
Find the number of spiders, the number of dragonflies, and the number of houseflies.
Answer:
Number of Spiders: 8
Number of Dragonflies: 7
Number of Houseflies: 5
Step-by-step explanation:
s= spider
d= dragonfly
h= housefly
Heads:
20= s+d+h
Legs:
136= 8s+6d+6h
Wings:
19= 0s+2d+1h
Solve with substitution.
Divide the second equation by 2.
136= 8s+6d+6h
68= 3d+3h+4s
Set the last equation in terms of d.
19= 0s+2d+1h
d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]
Substitute what we just found (d) into the first and our new second equation. Simplify.
20= s+d+h
20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h
h+2s=21
68= 3d+3h+4s
68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s
3h+8s=79
Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.
h+2s=21
3h+8s=79
-3h-6s=-63
3h+8s=79
2s=16
s=8
Plug in s=8 into the other equation.
h+2s=21
h+2(8)=21
h=5
Plug in h=5 into the last equation we rewritten.
[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]
[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]
d=7
(d,h,s)= (7,5,8)