Answer: Because the a-value is negative.
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch-a is a reflection over the x-axish is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)Given: g(x) = - (x + 1)² - 3
↓
a= -1
Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).
X2 - 13x + 40 = 0
Hey, I got this on my math homework and I need help with figuring out how to solve it
Answer:
x=8 x=5
Step-by-step explanation:
X^2 - 13x + 40 = 0
What two numbers multiply to 40 and add to -13
-8*-5 = 20
-8-5 = -13
( x-8) (x-5) =0
Using the zero product property
x-8=0 x-5 =0
x=8 x=5
To solve this polynomial equation, we will first factor the left side.
On the left, we have a special type of trinomial
that can be factored as the product of two binomials.
X² breaks down as x · x and we are looking for
the factors of 40 that add to the middle term, -13.
Since the middle term is negative, we use negative factors of 40.
The factors that work are -8 and -5.
So we have (x - 8)(x - 5) = 0.
If (x - 8)(x - 5) = 0, that means that either x - 8 = 0 or x - 5 = 0.
Solving for x in each equation, we have x = 8 or x = 5.
We can write this as the set of numbers {8, 5}.
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for π)
Answer:
25.12 inches
Step-by-step explanation:
To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.
Answer is 4 times 2 times 3.14 which is 25.12
If 4 times a number is 156, then 1/3 of the number is
Answer:
[tex]\huge\boxed{\sf \frac{x}{3} = 12}[/tex]
Step-by-step explanation:
Let the number be x
4x = 156
Dividing both sides by 4
x = 36
Dividing both sides by 3
[tex]\frac{x}{3}= \frac{36}{3}[/tex]
[tex]\frac{x}{3} = 12[/tex]
Solve the equation for y
the answer is C). y= 1/4x + 2
K(h-j)+10’ if h= 7, j=-8, and k=5
Answer:
49
Step-by-step explanation:
5(7-8)+10
49
it's equals 49
Evaluate f (x) = 2x – 13 for f (x) = 9, x =
Answer:
11
Step-by-step explanation:
f(x) = 2x - 13
9 = 2x - 13 Add 13 to both sides
9 + 13 = 2x Add the left
22 = 2x Divide by 2
22/2 = x
x = 11
Jamal owes $424.04 on his credit card. He returns two items, one for $49.95 and the other for $50.42.
Then he makes purchases of $39.19 and $37.41. What is the new balance on the card?
Answer:
$400.27
Step-by-step explanation:
owes $424.04
returns an item for $49.95
-424.04 + 49.95 = -374.09
he now owes $374.09
returns an item for $50.42
-374.09 + 50.42 = -323.67
he now owes $323.67
makes a purchase of $39.19
-323.67 - 39.19 = -362.86
he now owes $362.86
makes a purchase of $37.41
-362.86 - 37.41 = -400.27
he now owes $400.27
A rectangle or prism has dimensions of 2 cm x 2 cm x 3 cm what is the surface area
Answer:
32 cm²
Step-by-step explanation:
SA = 2(lw + lh + hw)
= 2(2x2 + 2x3 + 3x2)
= 2(4 + 6 + 6)
= 2(16)
= 32 cm²
Simplify: 5m (5m* +5m -4)
A 10m +10m² + m
B 10m + 10m + m
25m + 25m-20m
D 25m + 25m-20m
A 6- foot roll of waxed paper costs $3.60. What is the price per inch?
Answer:
0.3
Step-by-step explanation:
1 foot = 12 inches so 3.60/12=0.3
solve this equation
3x+6=-2-2x
Answer:
x = -8/5
x = -1.6
Step-by-step explanation:
3x+6=-2-2x
Add 2x to each side
3x+2x+6=-2-2x+2x
5x+6 = -2x
Subtract 6 from each side
5x+6-6 = -2-6
5x= -8
Divide each side by 5
5x/5 = -8/5
x = -8/5
x = -1.6
Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24
Answer:
Option B
Step-by-step explanation:
[tex]3x - 7 = 9 + 2x\\\\3x-7+7=9+2x+7\\\\3x = 9 + 7 + 2x\\\\3x=16+2x\\\\3x-2x=16+2x-2x\\\\\boxed{x=16}[/tex]
Hope this helps!
Which question relates to setting a long-term financial goal?
Choose the correct answer below.
A.
When would I like to buy a new car?
B.
How much does it cost to buy a movie ticket and snacks at the theater?
C.
On which day of the month is my credit card bill sent out?
D.
What is the late payment fee on my car loan?
Solve for x 9x - 1 = -11
Answer:
x=[tex]-\frac{10}{9}[/tex]
Step-by-step explanation:
We start by moving the constant to the right. In this case -1 (it becomes positive 1).
9x=-11 +1
9x= - 10
divide 9 by both sides.
x=- [tex]\frac{10}{9}[/tex]
Which step is incorrect when solving the equation 2(x+9)=4(x+7)+2?
Choose the first step that made an error.
1. 2(x+9)=4(x+7)+2
2. 2x+18=4X+28+2
3. 2x+18=4x+26
4. -8=2x
5. -4=x
(i think it's step 3)
Answer:
3. 2x+18=4x+26
Step-by-step explanation:
2(x+9)=4(x+7)+2
2x+18=4x+28+2
2x+18=4x+30
The step that made an error in solving this linear equation is step 3.
Hope this helps ;) ❤❤❤
Seven is part of all of the following sets of numbers except
O irrational numbers
O integers
O rational numbers
natural numbers
Answer:
Seven isn't part of the set of irrational numbers.
Step-by-step explanation:
Seven and the Set of all Natural NumbersStart with the smallest set among the choices. The set of all natural numbers, [tex]\mathbb{N}[/tex], starts with [tex]0[/tex] (or [tex]1[/tex], for some people.) A number [tex]n[/tex] is in [tex]\mathbb{N}\!\!\![/tex] (write [tex]n \in \mathbb{N}[/tex]) if and only if [tex](n - 1)[/tex] is in [tex]\mathbb{N}\![/tex]. Conversely, if [tex]n\![/tex] is indeed in [tex]\mathbb{N}\!\!\!\!\![/tex], then [tex](n + 1)[/tex] would also be in [tex]\mathbb{N}\!\!\!\!\!\!\![/tex]. For [tex]7[/tex]:
[tex]1 \in \mathbb{N} \implies 2 \in \mathbb{N}[/tex].
[tex]\vdots[/tex].
[tex]6 \in \mathbb{N} \implies 7 \in \mathbb{N}[/tex].
Therefore, [tex]7[/tex] is indeed in the set of all natural numbers.
Seven and the Set of all IntegersSimilarly, a number [tex]n[/tex] is in the set of integers, [tex]\mathbb{Z}[/tex], if and only if either [tex](n - 1)[/tex] or [tex](n + 1)[/tex] is (or both are) in [tex]\mathbb{Z}\!\![/tex].
Conversely, if a number [tex]n[/tex] is in [tex]\mathbb{Z}[/tex], then both [tex](n - 1)[/tex] and [tex](n + 1)[/tex] will be in [tex]\mathbb{Z}\![/tex].
It can be shown in a similar iterative way that [tex]7 \in \mathbb{Z}[/tex].
Alternatively, consider the fact that the set of all natural numbers, [tex]\mathbb{N}[/tex], is a subset of the set of all integers, [tex]\mathbb{Z}[/tex]. Therefore, [tex]7 \in \mathbb{N}[/tex] implies that [tex]7 \in \mathbb{Z}[/tex].
Seven and the Set of all Rational NumbersA number [tex]m[/tex] is a member of the set of all rational numbers [tex]\mathbb{Q}[/tex] if and only if there exists two integers [tex]p[/tex] and [tex]q[/tex] such that:
[tex]\displaystyle m = \frac{p}{q}[/tex].
[tex]1[/tex] and [tex]7[/tex] are both integers. If [tex]p = 7[/tex] and [tex]q = 1[/tex], then [tex]\displaystyle 7 = \frac{7}{1} = \frac{p}{q}[/tex]. Hence,
Alternatively, note that the set of all integers, [tex]\mathbb{Z}[/tex], is a subset of the set of all rational numbers, [tex]\mathbb{Q}[/tex]. Therefore, the fact that [tex]7 \in \mathbb{Z}[/tex] would imply that [tex]7 \in \mathbb{Q}[/tex].
Seven and the Set of all Irrational NumbersA number is in the set of all irrational numbers if and only if:
this number is in the set of all real numbers, andthis number is not in the set of all rational numbers. (Hence "irrational.")Therefore, the fact that [tex]7[/tex] is a rational number implies that it is not an irrational number.
Answer:
irrational numbers
Step-by-step explanation:
Please answerrr I need help with hw and I still can't solve this!!!
The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.
3. Round 9995.2 to the nearest ten. Explain in your
own words the reasoning behind why we round
the number the way we do. Use a number line to
support your explanation
Answer:
10000
Step-by-step explanation:
First, highlight parts of the question. Since it says round to the nearest ten, draw a number line to start. Start by drawing a number line from 9990 to 10000. Whenever a number has the digit from 5 till any number less than 10, you round up. If the number you are trying to round to any digit is less than 5, then you can round down. Since the part of the number that is important for the question is 5.2, we round above. You get 10000 from this.
-5/6 + 1/4 = is what???
Please help th points is 100...
Answer:
-7/12
Step-by-step explanation:
Find common denominators. Note that what you do to the denominator, you do to the numerator.
Set the common denominator to 12:
(-5/6)(2/2) = -10/12
(1/4)(3/3) = 3/12
Combine the terms:
-10/12 + 3/12 = 3/12 - 10/12 = -7/12
-7/12 is your answer.
~
G(n) = n^2 +4n find g(2)
Answer:
12
Step-by-step explanation:
G(2)= 2^2 +4(2)
Solve via order of operations
G(2)=4 +8
G(2)=12
Answer to this PLEASE GOD BLESS YOU
Answer:
the answer to this question is b
Complete the table
30x – 6y = -6x2
Answer:
-0.5
Step-by-step explanation:
30x - 6x = -6(2)
24x -12
24 24
x = -.5
2/5 divided 1/2 as a unit rate
Answer:
2/5 divided 1/2 as a unit rate .what do you mean
5. Solve the following equations for the indicated variable.
a. 5(3x + 7)=20-2(x +1) for x
b. 2x - y= 24 for y
c. m(3 – 4m)= 7+4(8 – m2) for m
d. 5x(x + 3) =(x)(5x – 3) + 36 for x
Answer:a) x =−1
B) x=1/2y+12
C) m=13
D) x=2
Step-by-step explanation:a) Let's solve your equation step-by-step.
5(3x+7)=20−2(x+1)
Step 1: Simplify both sides of the equation.
5(3x+7)=20−2(x+1)
(5)(3x)+(5)(7)=20+(−2)(x)+(−2)(1)(Distribute)
15x+35=20+−2x+−2
15x+35=(−2x)+(20+−2)(Combine Like Terms)
15x+35=−2x+18
15x+35=−2x+18
Step 2: Add 2x to both sides.
15x+35+2x=−2x+18+2x
17x+35=18
Step 3: Subtract 35 from both sides.
17x+35−35=18−35
17x=−17
Step 4: Divide both sides by 17.
17x/17=−17/17
x=−1
B) Let's solve for x.
2x−y=24
Step 1: Add y to both sides.
2x−y+y=24+y
2x=y+24
Step 2: Divide both sides by 2.
2x/2=y+24/2
x=1/2y+12
C) Let's solve your equation step-by-step.
m(3−4m)=7+4(8−m2)
Step 1: Simplify both sides of the equation.
−4m2+3m=−4m2+39
Step 2: Add 4m^2 to both sides.
−4m2+3m+4m2=−4m2+39+4m2
3m=39
Step 3: Divide both sides by 3.
3m/3=39/3
m=13
D) Let's solve your equation step-by-step.
5x(x+3)=x(5x−3)+36
Step 1: Simplify both sides of the equation.
5x2+15x=5x2−3x+36
Step 2: Subtract 5x^2 from both sides.
5x2+15x−5x2=5x2−3x+36−5x2
15x=−3x+36
Step 3: Add 3x to both sides.
15x+3x=−3x+36+3x
18x=36
Step 4: Divide both sides by 18.
18x/18=36/18
x=2
The amount of money invested in a retirement fund is an example of which of the following?
a. investment asset
b. liquid asset
c. long term asset
d. use asset
answer: investment asset e2020
Answer:
A.
Step-by-step explanation:
Retirement funds are not liquid assets. You fund them with investment assets. However, Roth IRA's and 401 (k) are not assets in the traditional sense. It may be confusing, but the way they grow is by investments. The answer is A.
The amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)
What is an Investment?An Investment is defined as an asset or object purchased with the intention of generating income or appreciation is referred to as an investment. The term "appreciation" describes a rise in an asset's worth over time. When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.
An investment always entails the expenditure of some capital today—time, effort, money, or an asset in the anticipation of receiving a larger return than what was first invested.
Investment portfolios are not movable property. They are financed by investments. One type of investing asset is the amount of money invested into a retirement fund.
Hence, the amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)
Learn more about an Investment asset here:
https://brainly.com/question/23611837
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A coin flipped 10 times and the results is recorded. What is the probability of getting exactly 5 tails?
Answer:
50%
Ste50p-by-step explan%ation:
if x and 3x are linear pair then find the value of x.
Answer:
x = 45°
Step-by-step explanation:
x + 3x = 180°
--> 4x = 180°
--> x = 180 / 4 = 45°
Step-by-step explanation:
x+3x=180 (sum of linear pair=180)
or, 4x =180
or, x = 180/4
therefore x =45
What two numbers should be placed in the blanks below so that the difference between the
consecutive numbers is the same?
13,_,_,34
Answer:
20,27
Step-by-step explanation:
let 13,a,b,34 be consecutive numbers.
a=13
l=34
n=4
l=a+(n-1)d
34=13+(4-1)d
34-13=3d
21=3d
d=21/3=7
a=13+7=20
b=20+7=27
Answer:
20, 27
Step-by-step explanation:
The difference 34-13 = 21 must be divided into three equal parts. Each is 21/3 = 7.
The numbers are 13+7 = 20, 20+7 = 27. As a check, 27 +7 = 34
The missing numbers are 20 and 27.
What is the average density of a laptop?
Can someone please help me on this one!
Answer:
The answer is (1,-1)
Step-by-step explanation:
The best approach for this problem is to plug in the coordinates into the given inequality.
[tex]7x-3y\geq 10\\[/tex]
(3,4) ------> [tex]7(3)-3(4)=9[/tex]
9 is less than 10 so, we can rule this one out.
(1,0) -------> [tex]7(1)-3(0)=7[/tex]
7 is less than 10 so, we can rule this one out.
(1,2) -------> [tex]7(1)-3(2)=1[/tex]
1 is less than 10 so, we can rule this one out.
(1,-1) -------> [tex]7(1)-3(-1)=10[/tex]
10 is equal to 10, so this is the answer.
Hope this helps!
As mentioned by Mark there are an unlimited number of pairs that satisfy your equation. So let us see how you can characterize these solutions
if 7x - 3y > 10 then
7x > 10 +3y
Now we can substitute any value for y and get the appropriate value for x. For example I can choose y to be 6
then by substitution
7 must be > 10+ 3*6
or 7x must be > 28
or x must be > 4
So all pairs such that x is > 4 and y = 6 are solutions.
I can create an infinite number of pairs choosing any number for y. Likewise I could have chosen x and solved the problem for y. In the above example I chose 6 for y to make the division easy. I could have chosen any number(real or integer) for y and solved the equation for x to derive appropriate pairs