Answer:
[tex](x+11)(x-7)[/tex]
Step-by-step explanation:
To factorize [tex]x^2+4x-77[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot -77=-77[/tex]
[tex]b=4[/tex]
Therefore, the 2 numbers that multiply together to give -77 and add together to give 4 are: 11 and -7
[tex]\implies x^2+11x-7x-77[/tex]
[tex]\implies (x^2+11x)+(-7x-77)[/tex]
Factor the parentheses:
[tex]\implies x(x+11)-7(x+11)[/tex]
Factor out the common term [tex](x+11)[/tex]:
[tex]\implies (x+11)(x-7)[/tex]
[tex]\\ \rm\rightarrowtail x^2+4x-77[/tex]
[tex]\\ \rm\rightarrowtail x^2+11x-7x-77[/tex]
[tex]\\ \rm\rightarrowtail x(x+11)-7(x+11)[/tex]
[tex]\\ \rm\rightarrowtail (x-7)(x+11)[/tex]
Done!
Which of these graphs represents a function??
Help ASAP
Answer:
W
Step-by-step explanation:
its not X because a straight line is not a function
A student buys two hot dogs and three drinks at the carnival for $5.25. The drinks
cost half as much as the hot dogs.
How much is each hot dog?
A $0.43
B $0.75
C $1.05
D $1.50
Answer:
B $0.75
Step-by-step explanation:
0.75x 3= 2.25
if the hotdogs are 2x as much as the drinks then
0.75x2= 1.50
then if there are 2 hot dogs
1.50x2=3
2.25+3=5.25
The late fee for a library book is $2.50 plus an additional 20 cents per day. If the total charge was 3.10, how many days late was the book?
Answer:
4 Days Late
Step-by-step explanation:
The first is 2.50, then 20 per day.
determine the solution to each linear system by using the substitution method
y=4x+2
y=3x-2
Answer:
The solution is x = -4
Step-by-step explanation:
y=4x+2
we can see here that y equals 4x+2
y =3x-2
The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:
y =3x-2
4x+2 = 3x-2
now just solve it algebraically.
4x + 2 - 3x = 3x -2 -3x
x +2 -2 = -2 -2
x = -4
The solution is x = -4
the sum of 8 and -13.
Answer:
-104 is the answer .....
8.5.PS-8
Question Help
☆
Find the circumference of the circle. Use 3.14 for .
15 ft
The circumference is about ft.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Review progress
Question 2
of 8
Back
Next
Answer:
47.1 ft
Step-by-step explanation:
To find the circumference of a circle, use the formula c = πd
We know that π = 3.14 and d = 15 ft so we can substitute this into the formula:
c = 3.14 × 15 = 47.1 ft
Hope this helps!
Miguel can use all or part of his $25 gift card to make a music purchase. each song costs $1.50, and there is a $1.00 per account activation fee. which inequalities can represent this situation if m is the number of songs he can buy? select two options. 1 1.5 m less-than-or-equal-to 25 1 1.5 m greater-than 25 25 greater-than 1 1.5 m 1 1.5 m less-than 25 25 greater-than-or-equal-to 1 1.5 m
The inequalities that can represent this situation if m is the number of songs Miguel can buy are:
Option A: [tex]1 + 1.5m \leq25\\[/tex] Option E: [tex]25 \geq 1 + 1.5m[/tex] How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, it is provided that:
The price of an account activation = $1.00The price of a song = $1.50Total amount that Miguel has = $25m = number of songs that Miguel can buyIf he buys m = 0, he doesn't need to open an account, thus, saving all money of gift.
Else, if he buys m > 0, then:
Let c = total cost he will have to pay for m songs.
m songs will cost [tex]1.50 \times m[/tex] dollars
Total cost he will have to pay = account activation charge + m songs; cost
[tex]c = 1 + 1.5m[/tex]
(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Since we have limited money, so:
c needs to be less than or equal to $25
This is symbolically written as:
[tex]c \leq 25[/tex]
But since we've got [tex]c = 1 + 1.5m[/tex], thus:
[tex]1 + 1.5m \leq25\\[/tex] (option A).
This can be reversed as:
[tex]25 \geq 1 + 1.5m[/tex] (Option E)
(both things are same, as [tex]c \leq 25[/tex] or [tex]25 \geq c[/tex] both are same since if c is less than or equal to 25, then that means 25 is greater than or equal to c)
(the case when c= 0, we have 0 < 25, so it is also included in those two options, as a special case)
Thus, the inequalities that can represent this situation if m is the number of songs Miguel can buy are:
Option A: [tex]1 + 1.5m \leq25\\[/tex] Option E: [tex]25 \geq 1 + 1.5m[/tex]Learn more about inequalities here:
https://brainly.com/question/11901702
Answer:
A and E are correct
Step-by-step explanation:
hello people ~
The length and breadth of a rectangular wall are 75 m and 32 m, respectively. Find the cost of painting the wall if the rate of painting is Rs 3 per sq. m.
Cost = 3 rupees per sq. m.
Cost = 3 x 2400
Cost = 7200 rupees
So your answer is 7,200
At the market, 8 apples cost $4.How much do 9 apples cost?
Answer:
$4.50
Step-by-step explanation:
We must find the unit rate.
Unit rate equals: 1 apple for 50 cents.
.5 multiplied by 9 is 4.5
Answer:
Step-by-step explanation:
C.f.
The ordered pair (-1, 4) is a solution to which of the pairs of equations? (1)
(1) y = -x + 3, y = x + 1
(2) x - y = 2, x + y = - 6
(3) x + y = - 2, 7x - 4y = 8
(4) y = -x + 3, y = 2x + 6
Answer:
d
Step-by-step explanation:
Substitute x = -1 into the equations. If the solution is y = 4 for both, then (-1, 4) is the solution.
(a) y = 1 + 3 = 4
y = -1 + 1 = 0
(b) -1 - y = 2 ⇒ y = -3
-1 + y = -6 ⇒ y = -5
(c) -1 + y = -2 ⇒ y = -1
7(-1) - 4y = 8 ⇒ y = -15/4
(d) y = 1 + 3 = 4
y = 2(-1) = 6 = 4
Andrea rolls a six-sided die. What is the probability that she rolls a number greater than 2? Give your answer as a reduced fraction or a whole number. Pease hurry
Answer:
I believe the answer would be 2/3
Step-by-step explanation:
Because if it's a 6 sided dice, and you need a number greater than 2 then there are 4 other numbers. This gives you 4/6. Simplify it and it gives you 2/3./ Hope this helps! :)
A hotel manager needs to buy beds and chairs. He has a total budget of 2000 dollars, and each bed costs $150 and each chair costs $50. Write an inequality to describe the possible number of beds and chairs that he can buy. If he buys 6 beds, what is the maximum number of chairs he can buy?
Answer:
The maximum number of chairs he can buy is C ≤ 22
Step-by-step explanation:
Let B represent the number of beds the hotel manager can buy.
Let C represent the number of chairs the hotel manager can buy.
Putting this into an expression, we have:
150B + 50C ≤ 2000
Since the hotel manager buys 6 beds, putting this into the information above:
150 (6) + 50C ≤ 2000
900 + 50C ≤ 2000
50C ≤ 2000 - 900
50C ≤ 1100
C ≤ 22
Answer This PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
Find the Total Are of the figure!
Answer:
the answer should be 27 you jus add them up
Step-by-step explanation:
just add them up and you get 27
28z+16? Help? Fr? ……. It said it was to short so?
Answer:
4(7z+4)
Step-by-step explanation:
If you are trying to factors this then it would be 4(7z+4)
Select the correct answer.
4
What is the sum of -65 and 6?
O A. 121
B.
29
5
O C.
o
OD. – 124
Answer:
-59 im pretty sure
3 is what percent of 5?
60%
Step-by-step explanation:Hi there !
5 ........... 100%
3 .................x%
x = 3×100/5
= 300/5
= 60%
Good luck !
Construct a circle through points X, Y, and Z PLEASE HELPPP
Answer:
The number of given points=3, y, and z
Step-by-step explanation:
Find the cube root. -8/27
Answer: Exact Form:2/3 (2 over 3) Decimal Form:0.¯6
Step-by-step explanation:
What is the solution set for - 4x + 10 > 5x + 55?
A. x 25
B. x > 45
C. X <-5
D. X <-45
Answer:
d
Step-by-step explanation:
took the test
Answer:
C
Step-by-step explanation:
‒4x‒5x>55‒10=‒9x>45
=‒9x/-9>45/‒9
=x<-5
i think it is easy &i hope my answer helps you
Solve the equation X-6+2=6 for the variable. Show each step of your solution process. (10 points)
Answer with step-by-step explanation:
x = 10
Step 1: Simplify both sides of the equation.
x - 6 + 2 = 6
x + (-6) + 2 = 6
(x) + (-6 + 2) = 6
x + (-4) = 6
x - 4 = 6
Step 2: Add 4 to both sides.
x - 4 + 4 = 6 + 4
x = 10
Hope this helped! (brainliest please)
13. Four coins with tails up.
Turning any three coins over counts as one move.
How many moves does it take to get all coins to show heads if turning three coins at a time counts as one
move?
Answer:
4
Step-by-step explanation:
the line shown contains ( -1,2) and (1,-1) what is the slope of the line
Answer:
m=-3/2
Step-by-step explanation:
To find slope we can use the formula y2-y1/x2-x1
Let's plug in our points
-1-2/1--1 which is -3/2
Our slope is -3/2
Answer:
m=-3/2
Step-by-step explanation:
In order to solve this problem, you must use the slope formula.
Slope formula:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]
y2=(-1)
y1=2
x2=1
x1=(-1)
Rewrite the problem down.
Solve.
[tex]\sf{\dfrac{-1-2}{1-(-1)}=\dfrac{-1-2}{1+1}=\dfrac{-3}{2}=\boxed{\sf{-\dfrac{3}{2} }} }[/tex]
Therefore, the slope is -3/2, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
Caroline packs 12 jars of jam in a box. She has 30 boxes. She has 426 jars of jam.
How many Jars of jam will she have left when all the boxes are full?
Caroline will have
Jars of Jam left after all the boxes are full.
What will it cost to carpet a rectangular room measuring 15 ft by 21 ft if the carpet
costs $22.50 per square foot?
Answer:
The cost would be $7,087.50
Step-by-step explanation:
Area = l×w
15×21= 315 ft^2
315×22.50= 7087.5
Solve the equation.
Z
-7=
3
12
7
Oz=
3
Oz=2
Oz=-21
Oz=21
Answer:
What is equation?
Step-by-step explanation:
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°. They are corresponding angles, so angle 3 also measures 130°. They are alternate exterior angles, so angle 3 measures 50°.
Answer:
Option B. ∠3 = 130°
Step-by-step explanation:
In the given question a, b, c are the parallel wires and pipe cleaner is the transverse.
Now we take two parallel wires a, c and pipe cleaner as transverse then
we have to find the relation between angle 4 and 130°
∠4 = ∠9 [ alternate interior angles ]
∠3 = 130° [ they are the alternate interior angles ]
Therefore option B. is the correct option.
Answer:
B. They are alternate interior angles, so angle 3 also measures 130°.
Step-by-step explanation:
y= -4 +6
3x + 4y = -2
Is (2, 2) a solution of the system?
Help!
Answer:
[tex]{y,x}={2,-10/3}[/tex] ( No)
Step-by-step equation:
System of Linear Equations entered :
[1] y=-4+6
[2] 3x+4y=-2
Equations Simplified or Rearranged :
[1] y = 2
[2] 4y + 3x = -2
Graphic Representation of the Equations :
0? + y = 2 3? + 4y = -2
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2
// Plug this in for variable y in equation [2]
[2] 4•(2) + 3x = -2
[2] 3x = -10
// Solve equation [2] for the variable x
[2] 3x = - 10
[2] x = - 10/3
// By now we know this much :
y = 2
x = -10/3
We are done
Solution :
{y,x} = {2,-10/3}
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one
Answer: only one triangle
Step-by-step explanation:
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one
Help solve for x. I don’t understand it
Answer:
12
Step-by-step explanation:
2x – 2y = 24
4x + 7y = –40
Step-by-step explanation:
is this simultaneous equation
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