Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
How to determine the simplest form of this expression?The expression is given as:
(x + 7)(3x − 8)
Expand the expression
3x² - 8x + 21x - 56
Evaluate the like terms
3x² + 13x - 56
Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
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Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
Samantha and Mia are 13 km apart from each other.
What is Pythagoras theorem?The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.
As Mia walked 7km/h and she is 7 km north of Julia's house.
and, Samantha walked 11km/h and she is 11 km west of Julia's house.
The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.
the distance between the girls is shown by, hypotenuse of triangle
Using Pythagoras theorem,
[tex]H^{2} =P^{2} +B^{2}[/tex]
[tex]H^{2} =7^{2} +11^{2}[/tex]
[tex]H^{2} =49+121\\[/tex]
H= [tex]\sqrt{170}[/tex]
H= 13.038
H= 13 Km
They are 13 km apart from each other.
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Answer:
13.0 km
Step-by-step explanation:
Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work
Answer:
A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Step-by-step explanation:
E = v + Ir
E - v = Ir (subtract by v on both sides)
(E-v)/I = r (divide by I on both sides)
[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
which of these numbers: 3,4,18,111,123,340,345,456,555 are divisible by 3 but not 9
Answer:
3
Step-by-step explanation:
3÷3=1
cant be divided by 9 and get a whole number
3÷9=.33333
what is 2 times 2 times 5 times 6 divided by 3 and subtracted 3 and plus 1?
Answer:
38
Step-by-step explanation:
2(2) = 4
4(5) = 20
20(6) = 120
120/3 = 40
40 - 3 = 37
37 + 1 = 38
Find the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm. Use the value 3.14 for , and do not do any rounding. Be sure to include the correct unit. 6 cm 8 cm
The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.
What is surface area?The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.
The formula for the surface area of a cylinder:-
SA = 2πrl
SA = 2 x π x 6 x 8
SA = 301.6 cm ²
Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.
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help me answer this pls
Answer:
Area is = 40
Explanation:
To find the area of a parralelgram use this formula A=b×h
So . .
The base is 20 feet and the height is 4 feet.
So . .
A= 20 × 4 = 40
A=40
Solve 1 over 3 (2x - 8) = 4
Answer:
X=10
Step-by-step explanation:
1. 1/3 (2x-8)=4
2. 2x/3 - 8/3 = 4
3. 2x/3 = 4+2 2/3
2x/3 = 6 2/3
2x/3 = 20/3(Criss cross method)
6x = 60
x=10
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need help with sigma notation
Answer:
114126Step-by-step explanation:
The given expression describes the GP with
The first term:
t = 80(1.23²⁻²) = 80(1.23⁰) = 80The common ratio:
r = 1.23It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)
The number of terms is
n = 29 - 2 + 1 = 28The sum of the first 28 terms is
Sₙ = t(rⁿ - 1)/(r - 1) S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)Answer:
114,126 (nearest whole number)
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
Given:
[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]
The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.
First term (a)
Determine the first term by substituting n = 2 into the given expression:
[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]
Common ratio (r)
From inspection, the common ratio is 1.23.
nth term
As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.
Therefore:
a = 80r = 1.23n = 28Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Substituting the given values into the formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]
Therefore, the sum of the given geometric series is 114,126 (nearest whole number)
What is the solution to this equation?
m – 3 = 9
m=9
m=6
m=3
m=12
Answer: m=12
Step-by-step explanation:
Answer:
m=12
Step-by-step explanation:
m - 3 = 9
You have to make sure
that m stands alone,
that's making m the subject.
So -3 have to cross the equal to sign,
to become +3
m = 9 + 3
m = 12
Hope this help. I wish you all the best
The area of a circle is 88.44 cm² find the length of the radius rounded to 2 DP
The radius of the circle is 5.30 cm.
What is a radius?A radius is a line that extends from the center of a circle to any point of the circumference.
To calculate the length of the radius of the circle, we use the formula below.
Formula:
A = πr²......... Equation 1
Make r the subject of the equation
r = √(A/π).................. Equation 2Where:
A = Area of the circler = Radius of the circleπ = PieFrom the question,
Given:
A = 88.44 cm²π = 22/7Substitute these values into equation 2
r = √(88.44/(22/7))r = √(88.44×7/22)r = √(28.14)r = 5.30 cmHence, the radius of the circle is 5.30 cm.
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HELP PLS !!!! help help help
Answer:
x = 6
Step-by-step explanation:
(17*6)+6 = 108
Which of the following is the
correct way to express
3.7 x 10-3 in standard form?
A 3.7
B 3,700
C 0.0037
Answer:
0.0037
Step-by-step explanation:
In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.
Write an equation to match each graph.
I already tried y=[x] that didn’t work
Answer:
y=|x|
Step-by-step explanation:
We know
general modulus function passes through origin as |0| is 0
And it's symmetric on both sides of y axis .
As it's not one -one function
Means
f(-1)=|-1|=1f(1)=|1|=1So the graph is y=|x|
Answer:
y = |x|
Step-by-step explanation:
The equation for the part of graph to the right of the y-axis is:
y = x where y ≥ 0
The equation for the part of graph to the left of the y-axis is:
y = -x where y ≥ 0
So we can see that both a positive and negative value of x gives the same positive value of y.
Therefore, we can create an equation for the graph by using the absolute value of x:
⇒ y = |x|
Absolute value means how far away a number is from zero.
"x" is x away from zero and "−x" is also x away from zero.
So the absolute value of x is x, and the absolute value of −x is also x.
The bars either side of the x shows that we want the absolute value of x.
In practice, think of "absolute value" as removing any negative sign in front of a number.
With y = x → when x = 1, y = 1 and when x = -1, y = -1
With y = |x| → when x = 1, y = 1 and when x = -1 we think of it as x = 1, so y = 1
Please help meeeee !
2. Which situation does have a final value of 0? A. A jet tose lo a height of 1000 feet ubove the ground. It then descended to a height of 100 feet. B. The tempetature at 1:00 p.m. was 10"F. It dropped another 10 over 4 hours. C Pace deposits $10 in his account and then withdrew $10. D. Keith guinod 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter. pls helpp
The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image are A'(3, -2), B(7, -3), and C'(1, -6). What transformations would result in this image?
Δ ABC was translated up 4 units and left 4 units.
Δ ABC was translated left 4 units and down 4 units.
Δ ABC was translated up 4 units and right 4 units.
Δ ABC was translated right 4 units and down 4 units.
Best answer gets brainliest!
Answer:
the answer is ABC was translated right 4 units and down 4 units. hope this helped
Please help me with this question. Thanks!
Assuming that all the grapes have the same probability of being randomly picked:
a) 0.11b) 0.24How to find the probabilities?
We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.
a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:
P = 8/23
But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:
P' = 7/22.
The joint probability is the product of the two individual probabilities:
prob = (8/23)*(7/22) = 0.11
b) For the first green grape we know that the probability is:
P = 8/23
Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:
P' = 15/22
Then the joint probability is:
prob = (8/23)*(15/22) = 0.24
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f(x) = x2. What is g(x)?
Answer:
A. g(x) = -x^2 - 3.
Step-by-step explanation:
If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)
To get g(x) we then translate the image 3 units down,
g(x) = -x^2 - 3.
What is the perimeter of the triangle?
DO NOT ANSWER IF YOU DON'T KNOW. AND NO GUESSES!
In the following table of values, what would be the value of “b” in ax2 + bx + c?
–2, –9
–1, –1
0, 9
1, 21
2, 35
Answer choices:
1
9
11
22
Answer:
11
Step-by-step explanation:
I used a bunch of formulas that would clog this page, so I can't put them down. Sorry if it's wrong
=
Given that f(x) = 2x – 2 and
g(x) = 3x, evaluate
,
f(g(-1))
Hope this is not confusing.
Verify if x > 1 is the solution to the inequality 7 - 4x > −2 (3x - 5).
Answer:
No, x>3/2
Step-by-step explanation:
Too lazy sorry.
How to find the simple interest rate if P=$4,000. T=2 years . And I= $320
And pls explain how I can find simple interest in every question bc I’m stressing about math finals
Answer:
3.2
Step-by-step explanation:
Formula to find the simple interest rate :
S.I. = [tex]\frac{PRT}{100}[/tex]
Formula to find R (simple interest rate) :
R = [tex]\frac{100*S.I.}{P*T}[/tex]
Since you have I (interest amount), we can use this formula instead :
R = [tex]\frac{I}{PT}[/tex]
R = [tex]\frac{320}{4,000*2}[/tex] = 4%/year or 0.04
Now plug this into the first formula
S.I. = [tex]\frac{4,000*0.04*2}{100}[/tex] = 3.2
i haven't done this in a while so hope this helps !!
What is 40/36 simplified?
Answer:
40/36 simplified is 10/9
Step-by-step explanation:
40 ÷ 4
36 ÷ 4
Reduced fraction:
10/9
Therefore, 40/36 simplified to lowest terms is 10/9.
Answer:
10/9
Step-by-step explanation:
i hope this helps you good luck on your quiz or lesson! :)
also thanks for the points and not to boher you but can i please have brainlliest thanks
Any other question tell me in the comments!
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
No
Step-by-step explanation:
If you look at the graphs of the two expressions when x > 8
you will see that 2^x is greater
Yes that's true
because
As we can observe the table
The values of 5x²
5204580The values of 2^x
24816Clearly Tyler is correct
But
This is just according to table
After some while 2^x will shift gears to go ahead of 5x² side
Example
2^9=256=5125(9)²=5(81)=405what shape always has four congruent sides
Answer:
A rhombus
Step-by-step explanation:
A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.
Answer: rhombus
Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
There are 440 fish in a pond. If Dylan has caught 45% of them, how many has he caught?
Answer:
198
Step-by-step explanation:
45% of 440
= [tex]\frac{45}{100}[/tex] × 440
= 0.45 × 440
= 198
what is 722 divided by 9
Answer: Heyaa! ~
772 divided by 9 is... 80.2
Step-by-step explanation:
Lets solve! ~
Reduce the expression if possible by cancelling the common factors.Hopefully this helps you! ^^
Please help with this. I don’t understand what I’m doing. It’s due tonight
Answer:
.0006
Step-by-step explanation:
I'm not sure if this is correct.. sorry if this is wrong.. :(