Answer:
A, D
Step-by-step explanation:
Given function: [tex]f(x)=x^2+4x-3[/tex]
Axis of symmetry
[tex]\textsf{Axis of Symmetry formula : }x=-\dfrac{b}{2a}[/tex]
for a quadratic equation in standard form [tex]y=ax^2+bx+c[/tex]
[tex]\implies \textsf{Axis of symmetry}: x=-\dfrac{4}{2}=-2[/tex]
Maximum/Minimum point (vertex)
The max/min point is the turning point of the parabola.
The x-value of the turning point is the axis of symmetry.
[tex]\implies \textsf{Turning point}:f(-2)=(-2)^2+4(-2)-3=-7[/tex]
Turning point (vertex) = (-2, -7)
As the leading coefficient is positive, the parabola opens upwards. Therefore, the turning point (-2, -7) will be a minimum.
Domain & Range
Domain: input values → All real numbers
Range: output values → [tex]x\geq -7[/tex] [as (-2, -7) is the minimum point]
End behavior
As the leading degree is positive and the leading coefficient is positive:
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow - \infty[/tex]
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow + \infty[/tex]
If the original price of an item on a sale was $21 and this price was reduced by 20% for the sale what is the price in the sale?
Answer:
$16.8
Step-by-step explanation:
Discount amount
21 x .2 = 4.2
Discount
21 - 4.2 = 16.8
Answer:
16.8
Step-by-step explanation:
There are two parts to this question.
part 1: Solve for x
part 2: what is the length of AB
AB = BD is given. Therefore,
7x + 10 = 9x-2
10 + 2 = 9x - 7x
12 = 2x
x = 2
Now, Put the value of x in value of AB
AB = 7x + 10
AB = 7 × 2 + 10
AB = 14 + 10
AB = 24
HELP PLS MY SISTER NEEDS HELP A LOT I WILL GIVE BRAINLIEST
Answer:
38 is the correct answer
Step-by-step explanation:
6 x 7 - 16 ÷ 4
BODMAS
Division first
6 x 7 - 4
Then multiplication
42 - 4
Then subtraction
=38
What is the surface area of the figure below
Answer: Its 120 cm
Step-by-step-explenation:
All you have to do is multiply
3x2=6
6x5=30
30x4=120
Help!!!!
20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
There are 13 or 14 pictures can be taken.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Total students at booth= 27 students
Number of person in a group = 2
Then, the possible number of pictures can be
x = 26/2
x= 13
Since one person is left and have a single photo which shows total 14 pictures.
Learn more about Algebra here:
https://brainly.com/question/24875240
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please please help me
Answer:
D. 102.6 in²
Step-by-step explanation:
The area of the square is 9 in² (3 × 3 = 9)
The area of the rectangle is 30 in² (3 × 10 = 30)
The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)
Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Square:
side = 3 in
[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]
= 3*3
= 9 square inches
Rectangle:
length = 10 in
width = 3 in
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 10 *3
= 30 inches
Circle:
diameter = 9 in
radius = 9 ÷ 2 = 4.5 in
[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]
= 3.14 * 4.5 *4.5
= 63.6 square inches
Total area = area of square + area of rectangle + area of circle
= 9 + 30 + 63.6
= 102.6 square inches
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answer:
She answered 8 of them correctly.
Step-by-step explanation:
Can someone please help me?
Answer:
152 ft²
Step-by-step explanation:
First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².
Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².
Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².
Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².
Hope this helps!
50% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?
Answer:
186
Step-by-step explanation:
186-50%= 93 or since 50% is half off 93×2=186.
What does AC=?
Round your answer to the nearest hundredth.
Please help
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]
cos(40) = [tex]\frac{x}{4}[/tex]
0.766 ≈ [tex]\frac{x}{4}[/tex]
3.06 ≈ x
x ≈ 3.06
Mrs. Hynes gave each of her 8
students 3 pieces of candy. She
gave 1 student 2 extra pieces for
good behavior. How many pieces of
candy did she
give away in all?
PLEASE HELP and show work too please
There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container
Please help l just don’t understand new topic
Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batter. if she uses six cups of flour, how many cups of sugar should she use?
Answer:
4 cups of sugar
Step-by-step explanation:
2 x 2 = 4
Toya will use 4 cups of sugar.
PLEASE HELP BRAINLIEST AND 10 POINTS
A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?
47 lbs
hope this helps
WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!
Answer:
b
Step-by-step explanation:
the answer is b
in the problem you can put the expression into a calculator and you will get the answer 3
in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3
I HOPE I HELPED A BIT<3
Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?
Answer:
9/12 or 3/4
Step-by-step explanation:
1/6 = 2/12
2/12 + 1/12 = 3/12
12/12 - 3/12 = 9/12
9/12 simplified is 3/4
Consider the table of the powers of 8.
A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
What is the value of each variable in the table?
a =
b =
c =
What is the pattern as the exponents decrease?
Divided by 8
What is the value of each variable in the table?
A= 1
B=1/8
C=1/64
Hope this helped!
Pls consider me for Brainliest!!
Answer:
Step-by-step explanation:
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
Three friends combine their
money to buy tickets for a hockey game. If they
share the change evenly, how much will each
friend receive? Write equations to represent the problem then solve.
Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation:
dialations he said she said answer key
Answer: What?
Step-by-step explanation:
Which is the best estimate of the capacity of a bathtub? A. 5 milliliters B. 50 milliliters c. 5 liters D. 50 liters
Answer:
D 50 liters
Step-by-step explanation:
mL is really small amount so it not A or B. 5 L is like 5 bottles which wont fill it up much so lets take out C. the answer left out is D 50 L which is the answer
i really need help please
Answer:
56⁰
Step-by-step explanation:
I hope it helps you
If any doubts do let me know in the comments
what is 2x2x32 to the 2 power
Answer:
16384
Step-by-step explanation:
Here is how you do it : (2*2*32)^(2)
How do you use double angles to simplify equations? Please provide an example.
Answer:
provide an equation
ill let you know
What do we do to both sides of this equation to solve?
x/3 =5
Question 4 options:
Add 3 to both sides
Subtract 3 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Multiply both sides by 3
Step-by-step explanation:
x/3 = 5
x/3 × 3 = 5×3
x = 15
Answer:
multipy both sides by 3
Step-by-step explanation:
Given that y is inversely proportional to ( x + 7) and that y = 5 when x = 2,express y in terms of x..... Please help
Answer:
like if it's rere it's ree duh awsee a
Could 13.5cm, 8.0cm, 3.5cm, be the side lengths of a triangle
Answer:
No
Step-by-step explanation:
The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.
If the value of a is 8 in f(x)=ax^2 what does the graph look like?
A) a parabola that opens down
B) a parabola that opens up
C) a parabola that opens left
D) a parabola that opens right
Answer:
B
Step-by-step explanation:
Graphs with x^2 look like a U shape as the negative x values will still result in a positive y value since a negative squared is a positive.
Giving Brainliest again!
(It's very easy)
Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x