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 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! :)
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
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.
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
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.
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 !
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]
In exceed codes 11-14 solve the system of nonlinear equations using the graph (picture attached)
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
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
-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
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.
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.
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
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
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?
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
If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
=
Find
g(f(x)) = [ ? ]x2 +[ ]x + [ ]
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.
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
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.
What is the answer to this question?
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
HELLPPPP PLEASE Lol pleaseeee
Answer:
b and d
Step-by-step explanation:
b&d is your answer
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
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
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 :)
. 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
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