Answer:
30). x=36
(31). a=35
32. n=104
33. n=30
34. y=120
35. b=135
Step-by-step explanation:
x/4=9
cross multiply
x=4×9
x=36
a/5=7
cross multiply
x=5×7
x=35
(repeat thesame steps over and over)
What is the domain and range of the following function
Answer:
domain: (–∞,∞) or all real numbers
range: (–∞,∞) or all real numbers
Step-by-step explanation:
domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.
range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.
Bentil sells 240 years at 12% simple interest per annum what will be the total amount in Bentil's account at the end of the three years 3 years?
Answer:
86.4
Step-by-step explanation:
12% of 240 * 3 = 86.4
use the remainder theorem to find the remainder when the function f(x)=x^3+6x^2-3x is divided by x+5
Answer:
510
Step-by-step explanation:
please give me a brainlist
Answer:
The remainder is 40.
Step-by-step explanation:
We're applying synthetic division here.
The coefficients of this function are {1, 6, -3, 0}. The divisor (x + 5) is represented by the monomial divisor -5.
Setting up synthetic division, we get:
-5 1 6 -3 0
-5 -5 40
---------------------
1 1 -8 40
The remainder is 40.
HELLPPPP PLEASE Lol pleaseeee
Answer:
b and d
Step-by-step explanation:
b&d is your answer
What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6
Answer:
(a) [tex]x=-2,3[/tex] (b) [tex]x=\frac{3}{4} ,-\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]y=x^2-x-6\\y=2x^2+x-6[/tex]
For the first equation, this can easily be factored
[tex]y=(x+2)(x-3)[/tex]
Now, set each of their factors equal to zero and solve
[tex]x+2=0\\x=-2\\\\x-3=0\\x=3[/tex]
Therefore, for a, the roots of [tex]y=x^2-x-6[/tex] are [tex]x=-2, 3[/tex]
For the second equation, it is able to be factored, however, its normally easier to use the quadratic equation to solve polynomials with an a term greater than 1
[tex]y=2x^2+x-6[/tex]
[tex]x_{1} =-b+\frac{\sqrt{b^2-4ac} }{2a}=-1+\frac{\sqrt{1-4(2)(-6)} }{4}=-1+\frac{\sqrt{1-(-48)} }{4}=-1+\frac{\sqrt{49} }{4} =-1+\frac{7}{4}=\frac{3}{4}[/tex]
[tex]x_{2}=-b-\frac{\sqrt{b^2-4ac}}{2a}=-1-\frac{\sqrt{1-4(2)(-6)} }{4} =-1-\frac{\sqrt{1-(-48)} }{4}=-1-\frac{\sqrt{49} }{4}=-1-\frac{7}{4} =-\frac{11}{4}[/tex]
Hope this helps! :)
While on a business trip to Hampton, Valentina treated her co-workers to a meal that cost
$393.16. Valentina knew that when the bill came, she would need to pay Hampton sales tax
of 6.25% and would want to leave an 18% tip on the original $393.16. Including tax and tip,
how much did Valentina's meal cost?
I NEED SOME HELP?
Given the arithmetic sequence {-12, -7, -2, 3, ...} what is the 15th term of the sequence?
Group of answer choices
58
33
43
48
63
Answer:
58
Step-by-step explanation:
We are given the arithmetic sequence:-
-12,-7,-2,3,...
First, find the common difference which we can obtain by:-
[tex] \displaystyle \large{d = a_{n + 1} - a_n}[/tex]
Check:-
-7-(-12) = -7+12 = 5
-2+7 = 5
3+2 = 5
Therefore, our common difference is 5.
General Arithmetic Term
[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]
Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.
[tex] \displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58} \\ [/tex]
Which statement could be represented by the expression 6a2 - 4?
Answer:
The following expression may be 2(3a^2-2).
Step-by-step explanation:
I factored the following expression 6a^2-4
. A golf cart priced at $6600 was on sale for 20% off. The sales tax rate is 5%. What is the sale price of the golf cart, including tax?
20% off means it is selling for 80% of the original price (109% - 20 % = 80%)
Sale price = 6600 x 0.80 = 5,280
Now add the tax:
5280 x 1.05 = 5544
The total price is $5,544
Identify all terms in the given expression, and their coefficients:
4x + 3b +2
Answer:
terms-4x, 3b and 2
Step-by-step explanation:
coefficients-4, 3 and 2
7x - 4 + x = 12
x = ?
Answer:
7x - 4 + x = 12
7(2) - 4 + (2) = 12
True x = 2
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
HELPPPPPPP IVE BEEN LISTENING TO MY COMFORT PLAYLIST STRESSING ABOUT THIS FOR TO LONG
Answer:
-2.86
-0.37
0.19
0.91
1.46
In exceed codes 11-14 solve the system of nonlinear equations using the graph (picture attached)
If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
=
Find
g(f(x)) = [ ? ]x2 +[ ]x + [ ]
2+2-2+2-2+2-5+2
Please tell the correct answer or else I will not mark anyone brainliest
2 + 2 - 2 + 2 - 2 + 2 - 5 + 2 =
2 + 2 + 2 + 2 + 2 - 2 - 2 - 5 =
10 - 9 =
1
Using the following information identify the pattern with the domain values and the
range write a function for the data.
{(1,9), (2,18),(3,27), (4,36)}
9514 1404 393
Answer:
y = 9x
Step-by-step explanation:
We notice that each y-value is a multiple of 9, and the multiple is x.
y = 9x
2/3x6/7 ..............
Answer:
0.57
Step-by-step explanation:
Answer:
4/7Step-by-step explanation:
2/3 × 6/7 =
2 × 2/7 =
4/7
Blake says that 4(x − 1) = 12-4x has zero solutions. Is Blake correct? Explain why or why not.
Answer: He's wrong. The solution is x=2
Step-by-step explanation:
4x-4=12-4x
8x-4=12
8x=16
x=2
Blake's assumption is wrong. x = 2 is the solution.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
We have an algebraic equation,
4(x − 1) = 12-4x.
Simplifying,
4x - 4 = 12 - 4x
8x = 16
x = 2
Therefore, x = 2 is the solution.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
help me pls ASAP I need it in 5mins
Answer:
3 hours and 45 Minutes
Step-by-step explanation:
If you multiply 45 minutes for five days it's equal to 3 hours and 45 minutes.
Laney wants to eat healthier so she has started to pay attention to the calories in the food she eats. So far today, Laney has eaten two apples and 3 cups of cereal. She has consumed 625 calories. If an apple has 95 calories, how many calories are in a cup of cereal?
Need to know how it was solved!
Please I need this super soon!
Answer:
145 calories
Step-by-step explanation:
2 apples so - 95x2= 190
625-190 = 435
435/3= 145
Hope this helps :)
What is the answer to this question?
For the figure shown on the right, find the value of the variable and the measures of the angles.
The degrees on a triangle add up to 180.
(x) + (x-7) + (3x+12) = 180 ; Just shwoing what i'm doing.
x + x-7 + 3x + 12 = 180
5x + 5 = 180 ; x + x + 3x = 5x , 12 - 7 = 5
5x = 175 ; Subtract 5 from 180
x = 35 ; 175/5 = 35
x=35
P: x - 7 = 35 - 7 = 28
Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117
R: x = 35
P= 28 degrees, Q= 117 degrees, R= 35 degrees.
2tsp of vanilla extract makes 27 cookies. how much vanilla extract would you need to make 24 cookies?
Answer:
so it is basically 2 times 27 or 27 plus 27 witch is 54 you will need 12
Step-by-step explanation:
what is 10000 in expanded form ?
Answer:
[tex]{ \red{ \bold{ = 1 \times 10 {}^{4}}}}[/tex]
Step-by-step explanation:
Step 1: Write the initial number as a product of its first digit and matching place value
[tex] {\red {\bold{10 \: 000 = 1 \times 10 \: 000}}}[/tex]
Step 2: Write 10000 as 10 to the power of 4
[tex]{ \boxed{ \red{ \bold{10 \: 000 = 1 \times 10 {}^{4}}}}}[/tex]
Hence, This is the expanded form with exponents of the initial number !
Question: A skateboard travels 55 feet in 4 seconds. Is the skateboard going a FASTER or SLOWER speed compared to the scooter?
a
Slower. The scooter travels 60 feet in 4 seconds, so it is going faster than the skateboard, which travels 55 feet in 4 seconds.
b
Faster. The scooter travels 40 feet in 4 seconds, so it is going slower than the skateboard, which travels 55 feet in 4 seconds.
c
Slower. The scooter travels 70 feet in 4 seconds, so it is going faster than the skateboard, which travels 55 feet in 4 seconds.
d
Faster. The scooter travels 50 feet in 4 seconds, so it is going slower than the skateboard, which travels 55 feet in 4 seconds.
A
Step-by-step explanation:
55: 4
60: 4
4(=)
60 is bigger than 55
bigger distance in the same time.
-64+?=0 i need help!
Answer:
64
Step-by-step explanation:
If you add a positive number that is the same as the negative number together then your answer will end up to be 0.
Answer:
64
Step-by-step explanation:
- 64 + 64 = 0
Adding a positive number to the negative of the same number gives zero
Calculate the slope between the points: (4,-9) and (5,1)
Answer:
10
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. All we have to do is plug in the values and simplify.
2. (Solving)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] [tex]\frac{1-(-9)}{5-4}[/tex] [tex]\frac{1+9}{1}[/tex] [tex]\frac{10}{1}[/tex] [tex]10[/tex]Therefore, the slope is 10.
How do u factorise: x²-x-6= (x+2) ( )
Answer:
x=−2 or x=4
Step-by-step explanation:
Step 1: Subtract x+2 from both sides.
x2−x−6−(x+2)=x+2−(x+2)
x2−2x−8=0
Step 2: Factor left side of equation.
(x+2)(x−4)=0
Step 3: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
A coordinate plane is labeled with quadrants 1, 2, 3, and 4.Point P is located at (–4, –7). P is reflected across the x-axis to create P'. In which quadrant is P' located?Quadrant IQuadrant IIQuadrant IIIQuadrant IV
Answer:
quadrant 3 you're welcome :-)
Answer:
Step-by-step explanation:
QUANCDRAHT 2
write each equation explicitly in terms of x: (with steps)
1) y^2 -x^2 + 1 = 50
2) y^2 +6y +9 = x + 8
Step-by-step explanation:
y2−x2+1=50
Step 1: Add -y^2 to both sides.
−x2+y2+1+−y2=50+−y2
−x2+1=−y2+50
Step 2: Add -1 to both sides.
−x2+1+−1=−y2+50+−1
−x2=−y2+49
Step 3: Divide both sides by -1.
−x2
−1
=
−y2+49
−1
x2=y2−49
Step 4: Take square root.
x=√y2−49 or x=−√y2−49
Answer:
x=√y2−49 or x=−√y2−49
y2+6y+9=x+8
Step 1: Flip the equation.
x+8=y2+6y+9
Step 2: Add -8 to both sides.
x+8+−8=y2+6y+9+−8
x=y2+6y+1
Answer:
x=y2+6y+1