The value of the required expression (x- 3 ) using the given equation -5(3x - 9) = -15 is equal to 1.
Let's solve for the value of "x" in the given equation:
-5(3x - 9) = -15
First, distribute the -5 on the left side of the equation:
-15x + 45 = -15
Now, subtract 45 from both sides to isolate the term with "x":
-15x = -60
Divide both sides by -15 to solve for "x":
x = 4
Now that we have the value of "x," we can find the value of (x - 3):
x - 3
= 4 - 3
= 1
Therefore, the value of (x - 3) is 1.
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Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.
Answer: B
Step-by-step explanation:
The most likely the next pattern in the series is 2 lines with red color. Therefore, option B is the correct answer.
What is pattern?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
From the given patterns
Figure 1 has 5 lines and it is blue in color.
Figure 2 has 4 lines and it is red in color.
Figure 3 has 3 lines and it is blue in color.
So, Figure 4 must has 2 lines and red in color.
Therefore, option B is the correct answer.
Learn more about the pattern here:
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5. You are traveling along at 27 meters per second when you notice a stop light ahead, you deceleration to 0m/s
in 3 seconds. What is your acceleration?
Step-by-step explanation:
initial velocity= 27
final velocity= 0
time = 3 sec
now
a= 0-27/3
a=-9 m/s^2
Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow? (Enter your answers as a comma-separated list.)
The absolute value of a number returns the positive value of the given number. Ruben will be at exactly 90 miles in 2 hours or 5 hours
Given that:
[tex]d = |210 - 60t|[/tex]
To calculate t when [tex]d = 90[/tex], we have:
[tex]90 = |210 - 60t|[/tex]
Rewrite as:
[tex]|210 - 60t| = 90[/tex]
Remove absolute bracket
[tex]210 - 60t = 90 \ or\ 210 - 60t = -90[/tex]
Collect like terms
[tex]- 60t = -210 + 90 \ or\ - 60t = -210 -90[/tex]
[tex]- 60t = -120 \ or\ - 60t = -300[/tex]
Divide through by -60
[tex]t = 2 \ or\ t = 5[/tex]
Hence, Ruben will be at exactly 90 miles in 2 hours or 5 hours
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what are the coefficients of the equation y=x^2+5x+6
Answer:
1, 5
Step-by-step explanation:
a numerical or constant quantity placed before and the variable in an algebraic expression (e.g. 4 in 4x y).
Answer: 1 and 5
Step-by-step explanation:
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
INSTRUCTIONS: This is a numerical series. Find the missing item
10.0.18 0.36 0.72|?|2.88
A. 0.9
B. 1.26
C. 1.44
D. 1.62
Answer: C. 1.44
Step-by-step explanation:
Each number gets multiplied by 2, so it's an exponential series in a way.
You must multiply .72 by 2 to get 1.44.
Determine the perimeter of the shape to the nearest centimeter. (Picture included)
Answer:
44 cm
Step-by-step explanation:
So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.
Hope this helps! :D
PLEASE HELP
1= a-13/-6
Show your work in details if you can, I have a hard time understanding this.
Answer: 7
Step-by-step explanation:
1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6: 1= a-13/-6 ==> -6=a-13
2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13
3. you know -6+13 equals 7 right? so the answer is a=7
Hey there! I'm happy to help!
We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.
[tex]\frac{a-13}{-6} =1[/tex]
What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.
We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.
[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]
Now we add 13 to both sides to undo the -13 on the left side.
[tex]a-13+13=-6+13[/tex]
[tex]a+0=7\\a=7[/tex]
Have a wonderful day and keep on learning! :D
1. Write the following numbers in words:
(a) 74 325 (b) 43 711 (c) 19 560
(e) 67 459
(1) 25 302
(g) 36 721
(1) 62 897 () 37 264 (k) 45 129
(d) 75 434
(h) 78 065
(1) 43 275
numerals
Troy is chasing his little brother kyle,but kyle got a 30 second head start.if kyle is traveling at 2 feet per second on
Answer:
20.
Step-by-step explanation:
when you add how far Kyle's already traveled you get sixty, the rest of the lecture explains the rest, leaving you with 20 seconds. Lol.
The volume of a sphere is a function of its radius,
V=43πr3.
Evaluate the function for the volume of a volleyball with radius
11.6
cm.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6525\text{cm.}^3[/tex]
Keep in mind that this is APPROXIMATE.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What set(s) does the number ✓95 belong to? Mark all that applies: Natural, Whole, Integers, Rational, Irrational
Hi there!
»»————- ★ ————-««
I believe your answer is:
Irrational
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻[tex]\rightarrow \sqrt{95} = 9.74679...\\\\\text{This does \textbf{NOT} simplify into a whole number. This means that it's not a perfect square.}\\\\\text{Since } \sqrt{95} \text{ is not a perfect square, it is \textbf{irrational.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the inverse of f(x) = 2x2 –4?
Answer:
The inverse of the function is
[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]
Step-by-step explanation:
let the inverse of f(x) be m:
[tex]m = {2x}^{2} - 4 [/tex]
take 4 to the left hand side ( changes sign to positive ):
[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]
take a square root on all sides:
[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]
substitute x in place of m:
[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]
The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
Point D divides AB into internal division ratio I:k, E point divides DC internal division ratio m : k+1, find the coordinates of point E.
Really don't know how to solve this, hope someone can help, thank you very much.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
Which of the following numbers could not be used to describe a distance walked?
A. 129/3 foot
B. |-125 | foot
C. 12 foot
D. -140 foot
9514 1404 393
Answer:
D. -140 ft
Step-by-step explanation:
Lengths cannot be negative, so -140 cannot be a distance walked.
__
Additional comment
Relative to some reference point and direction, a position can be described as positive or negative. However, the distance from that point to the reference point will always be positive.
A cookie recipe calls for 4/3 cup of flour and makes 3 dozen cookies, Il Cassandra plans to make 18 dozen cookies, how many cups of does she need?
Answer:
8
Step-by-step explanation:
4/3 cup for 3 dozen.
how many cups for 18 dozen ?
what factor do I need to use to turn 3 into 18 ?
3×x = 18
x = 18/3 = 6
so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).
therefore, we need
4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.
How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.
9514 1404 393
Answer:
the graph increases
Step-by-step explanation:
If you read your problem statement, you find it tells you the answer:
"... point A and then continues to increase through B"
That is, between points A and B, ...
the graph increases
Answer:
It's option A hope this helps
What are the coordinates of the image of polygon KLMN after a reflection across the y-axis?
Help me with the e or how many you can
Please afsp
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
Plz help me in this math
Answer:
can u please cut all zeroes and if it is divisible by both a and b then divide it.Like in a u cut zeroes and answer will come. cut all zeroes only.
Hi, if the question is reduce to lowest terms, then this is the answer.
a) 1/2
b) 1/4
c) 2/3
d) 2/5
g) 4/5
h) 4/7
i) 5/6
j) 6/7
How did this come?
In these questions, all are ending with 0. So, if you cut those zeroes, you will get a fraction, then check if can divide the fraction directly, else, write the fraction which you got directly after cancelling zero.
Hope it helps you...
Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5
How to find the area of the shape on the right
Answer:
19 units²
Step-by-step explanation:
First, divide the shape into two triangles, find the area of those triangles, and then add the areas together.
Big Triangle:
1/2bh
1/2 6(5)
1/2 30
15
Little Triangle
1/2bh
1/2 2(4)
1/2 8
4
Total Area:
15 + 4 = 19 units squared
On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?
Answer:
[tex]17 \frac{1}{3} [/tex]
Step-by-step explanation:
1/3 pound = 5.333 ( 5 1/3 ) ounces
3/4 pound = 12 ( 12 ) ounces
Help!! Truth table.
Thank you.
Answer:
these statements are not logically equivalent.
Step-by-step explanation:
steps are in picture.
If you have any question about it you can ask freely.
Plss help number is 21952 and 115248
Answer:
Step-by-step explanation:
Bonjour,
2^4 * 7^3 => 16* 343 = 5488
21 952 / 5 488 =4
115 248/5 488 = 21
9514 1404 393
Answer:
2⁴·7³
Step-by-step explanation:
The set of primes that are factors of 21952 is {2, 7}.
The set of primes that are factors of 115248 is {2, 3, 7}.
Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.
The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.
The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.
So, the Highest Common Factor of the two numbers is 2⁴·7³.
Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x
Any help is appreciated :)
Answer:
1st option
Step-by-step explanation:
To find (f ￮ g)(x) substitute g(x) into f(x) , that is
f([tex]\frac{1}{2x}[/tex] )
= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]
= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]
= [tex]\frac{4x}{1+6x}[/tex]
5. Find the solutions of x^2 – X-30 = 0.
please show work on how to do it
Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
please help me with these ones ok
Answer:
first question: reflection on the y axis
second question: reflection on the x axis
Step-by-step explanation:
it cost 25 to rent a car each day a 0.95m per mile
