Answer:
x ≥ - 89
Step-by-step explanation:
−51 ≤ x + 38
Step 1: Flip the equation.
⇒ x + 38 ≥ - 51Step 2: Subtract 38 from both sides.
⇒ x + 38 - 38 ≥ - 51 - 38x ≥ - 89 ====> Answerx^2+9=0? I need to find the solutions
Answer:
[tex]x=\pm 3i[/tex]
Step-by-step explanation:
[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]
Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).
Calculate the volume of the cone with the hemisphere scooped out of the base. Note: 20 cm is the slant height
Answer:
3418.02 cm²
Step-by-step explanation:
Volume :
Volume (cone) - Volume (hemisphere)
1/3πr²h - 2/3πr³
1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³
64π/3 (√336 - 2 x 2/3)
64π (18.33 - 1.33)
64π × 17
201.06 x 17
3418.02 cm²
Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity?
Item
Amount
Soup
$3.75
Shrimp scampi
$15.00
Iced tea
$2.60
Dessert
$4.25
$26.22
$30.72
$32.00
$35.82
Answer:
It's 30.72
Step-by-step explanation:
Take your total and times it by the percentage (20 in this case) and then divide by 100.
total: 25.60$
tip: 20% of total
25.60 * 20 = 512
512/100 = 5.12
25.60 + 5.12 = 30.72
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Answer:
4 weeks
Step-by-step explanation:
Remaining money (per week) :
Net income - Expenses$400 - $380$20No. of weeks to buy shoes :
Cost of shoes / Remaining money (per week)$70/$203.5 ≈ 4 weeks (nearest whole week)Answer:
hope it will help you
Step-by-step explanation:
hope it will help you
g(t)=t²−t−42
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answer:
1) The smaller t is -6
The larger t is 7
2) The vertex of the parabola is (1/2, -42.25)
Step-by-step explanation:
Hey there!
To find the zeros of a function, you need to find two values that add up to "b" and multiply together to get "ac"
The b and ac come from the standard form of a parabola which this statement is given to us right now
t^2-t-42
1 is the "a" value, -1 is the "b" value, and -42 is the "c" value
What are two numbers that multiply together and get -42 and those same two numbers add up to -1
Those two numbers are -7 and 6
When you multiply those numbers together, you get -24
And when you add them together, you get -1
Now you can split the -t in the equation
The new equation after splitting the original equation will look like this
t^2-7t+6t-42
Now we group the equation into two parts
(t^2-7t) + (6t-42)
Since t is the common variable in the first set of parentheses, we can take it out
t(t-7)+(6t-42)
Now in the second pair of parentheses, 6 is the constant term
You can also take that out
t(t-7)+6(t-7)
Now we have our zero pairs
We take one of the parentheses and the terms that are outside of the parentheses
Now we have
(t+6)(t-7)=0
Now we can find our two zeros
The smaller t is -6
The larger t is 7
Now we have to find the vertex
The formula to solving the x-coordinate of the vertex is -b/2a
The "b: value is -1 and the "a" value is 1
So, the x-coordinate of the vertex is 1/2
Now we plug that into the equation
(1/2)^2 - 1/2 - 42
1/4 - 1/2 - 42
-1/4 - 42
-169/4 --> -42.25
So, the y-coordinate of the vertex s -42.25
This means,
The vertex of the parabola is (1/2, -42.25)
On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.
The vertex is the
.
The function is positive
.
The function is decreasing
.
The domain of the function is
.
The range of the function is
.
The key aspects of the function are
The vertex is the (-1, 0)The function is decreasing from x = -1 to infinityThe domain of the function is all sets of real numberThe range of the function is the set of all real numbers less than or equal to 0How to determine the key features?The function is given as:
f(x) = -(x + 1)^2
From the question, we have:
Vertex = (-1, 0)
Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.
It means that the function is always negative.
Also, the domain of the function is all sets of real number, because it is an exponential function.
The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0
The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity
Read more about quadratic functions at:
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Answer:
The vertex is the maximum value
The function is positive for no values of x
The function is decreasing when x > –1
The domain of the function is all real numbers
The range of the function is all numbers less than or equal to 0
Hope this helped!
ASAP Pls! 6. Which of the following statements about the picture are true? Select two.
(^Image Attached Below^)
Choices:
[] Point A is on the bisector of ∠TXR.
[] Point A is on the perpendicular bisector of Line XT.
[] Point A is on the perpendicular bisector of Line XR.
[] Point A is not on a bisector.
[] Point A is equidistant from points T and R.
I am choosing A and E for my choices, but could someone confirm? Tysm! Need this asap!
Answer:
Yes, your choices are correct ...First and last points are true:)
Evaluate
6x+4y-z. X:4,y:-2,z:3
Step-by-step explanation:
x = 4
y = -2
z = 3
= 6x + 4y - z
= 6.4 + 4.-2 - 3
= 24 - 8 - 3
= 13
16 > i - 4
Please help me solve this!! ( one-step inequalities )
Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
the function f(x)= -x3 - 7x2 - 7x + 15 has zeros located at -5, -3, 1. verify the zeros of f(x) and explain how you verified them. describe the end behavior of the
function
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:
f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0
f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0
f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
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Help me on this question
Answer:
F.2:30 a.m.
8 revolutions= 8×90=720mn= 12h
So the sign starts from 2.30p.m.
Then the sign after 8 revolutions is 2.30 a.m.
Please give Brainliest
Please help me with this problem
Answer:
Answer is 41 ft
Step-by-step explanation:
From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h
Using Pythagora's theorem we have,
[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]
Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.
[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]
Therefore the perimeter of the triangle is 41 ft.
write a quadratic equation whose roots are -3 and 1/2
Answer:
See below
Step-by-step explanation:
Use the roots given to make this :
(x+3) (x-1/2) = 0
you can do the multiplication (if required) to get
x^2 + 2.5x - 1.5 = 0 now you can multiply by 2 to get rid of the decimals
2x^2 + 5x - 3 = 0
All three are correct......pick the format you want ....
A bag of flour weighs 90 grams. If the weight of the bag increases by 15% find the new weight of the bag.
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
weight of bag = 90 grams
According to Question ,
weight of the bag increases by 15%
therefore ,
the new weight of bag ,
[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]
so ,
new weight = 90 + 13.5 kg
= 103.5 kg
hope helpful ~
What is 1 raised to the third power?
Answer:
1
Step-by-step explanation:
Given that, 1 to the power of 3
Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:
lm = l × l × … × l (m times)
Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.
Therefore, 13 = 1 × 1 × 1 = 1
Hence, 1 to the power of 3 comes as 1.
Answer:
1
Step-by-step explanation:
No matter what power you raise one to it will still be 1
If 2 newspapers cost $3.00,
how much does one
newspaper cost?
Answer:
$1.50
Step-by-step explanation:
you only need to do $3.00/2 = $1.50
Answer:
$1.50
Step-by-step explanation:
3 divided by 2 = 1.5
х
The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund
Answer:
Step-by-step explanation: C. pay off credit debt, emergency fund, retirement
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
B
Step-by-step explanation:
B: $303.75
I hope this helps you and I hope you do well.
If a cross-section of the block is cut perpendicular to the base and passes through the top vertex of a pyramid which of the following shapes describes the cross-section
Triangle
Rectangle
Trapezoid
Hexagon
A triangle (Option B)
If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base
Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.
Answer:
B. po
Step-by-step explanation:
reflection a triangle over the yaxis.
7829y[tex]\frac{-69}{56x}[/tex] Find the exact value!
[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]
[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]
Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5
Answer:
A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5
Step-by-step explanation:
A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99
Answer:
Step-by-step explanation:
since this answer wants an approximation, we can round the cost up
Ham- 6 1/2 of 6 = 3
Turkey- 5 1 pound of turkey= 5
Roast Beef- 7 1/4 of 7= 1.75
Salami- 3 2 x 3= 6 1/2 of 3= 1.5 = 7.5
bologna- 4 No bologna was purchased.
3+5+1.75+ 7.5= 17.25 which is approximately 17.
Julia earned $2,000 during the month of September.
Use the paycheck statement to find the missing percent rates of the taxes Julia payed.
Based on the amounts Julia paid and the percentage rates, the missing amounts are:
$124 for social security. $29 for Medicare. 13% for federal income tax. 6% for state income tax. How much tax did Julia pay?Julia's social security taxes were:
= 6.2% x 2,000
= $124.
Medicare amount:
= 1.45% x 2,000
= $29
Federal income tax:
= 260 / 2,000 x 100%
= 13%
State income tax:
= 120 / 2,000 x 100%
= 6%
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How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?
[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]
[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]
Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years
Answer:
12362.70
Step-by-step explanation:
Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this
Write 6.14 x 10^-5 in Standard Form
Please help :)
Answer:
0.0000614
Step-by-step explanation:
Since it’s a -5 it’s 5 places back
Hope this helps! ;-)
Samuel helps his brother paint wails during his summer vacation. He charges $10 for the first room and $5 for each additional room (x) he paints. Which equation could Samuel use the find out many additional rooms he would have to paint to make $50 at one house?
What is the value of the expression below written in scientific notation? and explain
Answer:
10 x 10^7
Step-by-step explanation:
When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:
2.5 x 4 = 10
4 + 3 = 7
10 x 10^7
Which choice could represent the surface area of a pyramid? 75.6 feet superscript 4 75.6 feet cubed 75.6 feet squared 75.6 feet
The choice that could represent the surface area of a pyramid is 75.6 feet squared
Surface area of a pyramid.The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.
For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:
TSA = area of 4 triangles + area of the base
Hence the choice that could represent the surface area of a pyramid is 75.6 feet squared
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Answer:
C/3
Step-by-step explanation: