Answer:
(0 x 2) - 1 = -1
(1 x 2) - 1 = 1
(2 x 2) - 1 = 3
(3 x 2) - 1 = 5
Carys is taking 3 biscuits to eat. George steals 2. How many biscuits does Carys eat at the end?
I have no clue what the answer
Find the equation of a line that passes through the points (1,3) and (2,2).
Leave your answer in the form y=mx+c
Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-3)/(2-1)
m=-1/1
m=-1
y-y1=m(x-x1)
y-3=-1(x-1)
y-3=-x+1
y=-x+1+3
y=-x+4
Factor the polynomial completely using the X method. X2 11x 24 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared 11 x 24. The value of ac is. The value of b is. The equivalent factored form of the polynomial is.
The factored form of the considered polynomial is [tex](x+3)(x+8)[/tex]
How to find the factors of a quadratic expression?If the given quadratic expression is of the form
[tex]ax^2 + bx + c[/tex]
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]
Then writing b in terms of alpha and beta would help us getting common factors out.
For the considered polynomial, we've got the quadratic expression as:
[tex]x^2 + 11x + 24[/tex]
Comparing this with [tex]ax^2 + bx + c[/tex], we get:
a = 1 (since [tex]x^2 = 1\times x^2[/tex] )b = 11c= 24Therefore, we have : ac = c = 24
Two numbers whose multiplication gives 24 and and whose addition gives 11.
24 = [tex]2 \times 2 \times 2 \times 3[/tex]
If we take first three 2s, and 3, then:
[tex]24 = 8 \times 3 = (2 \times 2 \times 2) \times 3\\11 = 8 + 3 = (2 \times 2 \times 2) + 3[/tex]
Thus, we need to write 11 in the middle in terms of 8 and 3:
[tex]x^2 + 11x + 24 = x^2 + 8x + 3x + 24 = x(x+8) + 3(x+8) = (x+3)(x+8)[/tex]
Thus, the factored form of the considered polynomial is [tex](x+3)(x+8)[/tex]
Learn more about factors of a quadratic equations here:
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Answer:
(1) C. 24
(2) B. 11
(3) C. (x+3)(x+8)
Angelica uses a coordinate plane to make a map of her neighborhood. The point at
(4,3) represents the location of her house, and the point at (10, 8) to represent the
location of the gas station. She wants to drive to the gas station using the straight
line shown below. Use what you know about right triangles to find out how far she
will drive. Each unit on the graph represents 1 mile.
In this answer, give the length of the straight line shown on the graph, and explain
how you calculated it.
у
10
9
(10,8)
Gas station
8
7
ch
6
5
4
3
2.
Angelica's house
(4,3)
Answer:
Distance between Gas Station and House = 7.81 miles.
Step-by-step explanation:
The distance between the two locations is 7.81 miles
Distance between two pointsGiven the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.
The distance between the two locations will be determined using the formula
D [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given coordinate into the formula
[tex]D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles[/tex]
Hence the distance between the two locations is 7.81 miles
learn more on distance formula here: https://brainly.com/question/661229
A circular rug has a radius of 4. 5 feet. What is the circumference of the rug? Use 3. 14 for Pi and round to the hundredths place. 14. 13 28. 26 44. 37 88. 74.
Answer:
28.26
Step-by-step explanation:
The circumference of a circle is equal to 2πr, where r is the radius. The radius is the distance from the center of the circle to a point on the outside of the circle.
To find the circumference you can plug in the known information and multiply. However, instead of using actual pi, we will use 3.14 because that is what the question says.
2 * 3.14 * 4.5 = 28.26This means that the distance around the rug is 28.26 feet.
EXPRESS angles X IN TERMS OF Y
Answer:
y = [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
the inscribed angle y is half the measure of the central angle x
y = [tex]\frac{1}{2}[/tex] x
please help me asap
Answer:
y = 2, 5, 8, 11, 14
Step-by-step explanation:
For this question, it's simply asking us to solve for y, at given values of x. So everytime we just need to substitute the given value for x and solve for y.
x + y = 8
When x = 6,
6 + y = 8
substract 6 from both sides:
-6 + 6 + y = 8 - 6
y = 2
When x = 3
3 + y = 8
y = 8 - 3
y = 5
When x = 0
0 + y = 8 --> 0 + y = y
y = 8
When x = - 3
- 3 + y = 8
y = 8 + 3
y = 11
When x = - 6
-6 + y = 8
y = 8 + 6
y = 14
I hope this makes sense :)
Factor 3x^3 - 15x^2 + 18x.
A. 3x(x - 2)(x - 3)
B. 3(x^2 + 2)(x-3)
C. 3x(x + 2)(x-3)
D. 3(x^2 - 2)(x-3)
Step-by-step explanation:
3 x^3-15x^2+18x 3(x^3-5x^2+6x)
74.64 rounded to the nearest tenth
how do you round a decimaled number?
Answer:
[tex]\displaystyle 74,6[/tex]
Step-by-step explanation:
You have a 6 in the tenths position, so the 4 in the hundredths position tells you to STAY at [tex]\displaystyle 74,6.[/tex]
I am joyous to assist you at any time.
An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest 10th of a gram?.
The amount of mass after 5 minutes is 75.74 grams.
It is given that
The amount initially = 330grams
After every minute mass decays by 25.5%
What is the percentage?The percentage is the value per hundred.
Amount after 1 min = 330-330*25.5/100 = 245.85grams
Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams
Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams
Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams
Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams
Therefore, the amount of mass after 5 minutes is 75.74 grams.
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Given: ABCD is a rectangle.
Prove: ΔABC is congruent to ΔCDA ABDC is a rectangle.
ABCD is a parallelogram. AB is congruent to DC and BC is congruent to DA AC is congruent to AC ΔABC is congruent to ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________
A. Symmetric Property of congruent; SAS
B. Reflexive Property of congruent to; SAS
C. Symmetric Property of congruent; SSS
D. Reflexive Property of congruent; SSS
Answer:
D
3. Reflexive Property of (Congruence) ≅
4. SSS (Side to Side to Side Congruence rule)
Step-by-step explanation:
this is D reflexive property of SSS
3. Any geometric figure compared to itself is congruent to itself so this is why:
4. Since we have a parallelogram, therefore we can say:
Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.
So, It's D.
P.S.
Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.
What is 8+99 equal to
Answer:
107
Step-by-step explanation:
Answer:
107.
Step-by-step explanation:
99
+8
------
107
Please mark as brainliest!
find the area of the triangle a 52 km b 84 km
2184km²
Hope it helps!
someone help!! 18 pts + brainlest !!!! ASAP
Answer:
33.22 square inches
Step-by-step explanation:
Diameter to Radius: [tex]\frac{1}{2}d = r[/tex]
Area of Circle: [tex]\pi r^2[/tex]
We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3
[tex]3.14 * 2.3^2[/tex] [tex]3.14 * 5.29[/tex] [tex]16.6106[/tex]Next, since there's two pancakes, we double 16.6106.
[tex]16.6106 * 2[/tex] [tex]33.2212[/tex]Lastly, we round to the nearest hundredth.
33.2212 ≈ 33.22 square inchesTherefore, the answer is 33.22 square inches.
I need this quickly:)
Answer: r [tex]\leq[/tex] 5
Step-by-step explanation: If you need it quick then no explanation, but brainliest please?
-
21) The graph of the function f(x) = x3 - 2x2 + 4x – 8 intersects the x-axis at the point (2,0) as shown.
Which statement is true?
A) The function has 3 different zeros.
B) The function has 1 real zero that occurs 1 time.
C) The function has 1 real zero that occurs 2 times.
D) The function has 1 real zero that occurs 3 times.
The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.
How to determine the true statementThe function of f(x) is represented as:
[tex]f(x)=x^3-2x^2+4x-8[/tex]
Differentiate the function f(x)
[tex]f'(x)=3x^2-4x+4[/tex]
Calculate the minimum value using:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = -\frac {-4}{2*3}[/tex]
[tex]x = \frac {2}{3}[/tex]
Substitute 2/3 in f'(x)
[tex]f'(2/3)=3*(2/3)^2-4(2/3)+4[/tex]
[tex]f'(2/3)=\frac 83[/tex]
The value of f'(2/3) is greater than 0.
This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)
Hence, the true statement is (b)
Read more about functions at:
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A dozen of eggs was brought at N2000. If each egg was sold at N60, find the profit or loss
A dozen = 12
Multiply the prices they were sold for by 12:
12 x 60 = 720
By selling the 12 eggs they made 720
Since they bought it for 2000 they lost money.
2000 - 720 = 1280 loss
what are prime factors
and if you could help what are the prime factors of 42
Thanks
Answer:
factorize(42) = 2 x 3 x 7
Step-by-step explanation:
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
Answer: (17,3) is viable
Step-by-step explanation:
makes the most sense
Answer:
the ordered pair (12,3) is viable
Explanation:
These were my answer choices:
a. The ordered pair (–3, 7) is viable.
b. The ordered pair (0, 4) is viable.
c. The ordered pair (7, 0) is non-viable.
d. The ordered pair (12, 3) is viable.
I just took the test and d was correct:)
What value of f makes this equation true: 16=2. 5f?
Answer:
f=6.4
Step-by-step explanation:
[tex] \rm \: If \: y = {e}^{x} - \frac{1}{x} + { log_{e}x } \: \: find \: \frac{dy}{dx} [/tex]
Thanks!!
We are given with a function y and need to find dy/dx or the first Derivative of y w.r.t.x , but let's recall
[tex]{\boxed{\bf{\dfrac{d}{dx}\{f(x)\pm g(x)\pm h(x)\pm \cdots =\dfrac{d}{dx}\{f(x)\}\pm \dfrac{d}{dx}\{g(x)\}\pm \dfrac{d}{dx}\{h(x)\}\pm \cdots}}}[/tex] [tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex] [tex]{\boxed{\bf{\dfrac{d}{dx}(log_{e}x)=\dfrac{1}{x}}}}[/tex] [tex]{\boxed{\bf{\dfrac{d}{dx}(e^x)=e^{x}}}}[/tex]Now consider :
[tex]{:\implies \quad \sf y=e^{x}-\dfrac{1}{x}+log_{e}x}[/tex]
Differentiating both sides w.r.t.x
[tex]{:\implies \quad \sf \dfrac{d}{dx}(y)=\dfrac{d}{dx}\bigg\{e^{x}-\dfrac{1}{x}+log_{e}x\bigg\}}[/tex]
[tex]{:\implies \quad \sf \dfrac{dy}{dx}=\dfrac{d}{dx}(e^x)-\dfrac{d}{dx}\left(\dfrac{1}{x}\right)+\dfrac{d}{dx}(log_{e}x)}[/tex]
[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-\dfrac{d}{dx}(x^{-1})+\dfrac{1}{x}}[/tex]
[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-(-1)(x)^{-1-1}+\dfrac{1}{x}}[/tex]
[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+(x)^{-2}+\dfrac{1}{x}}[/tex]
[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+\dfrac{1}{x^{2}}+\dfrac{1}{x}}[/tex]
Simplifying will yield
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{dy}{dx}=\dfrac{e^{x}x^{2}+x^{2}+x}{x^{2}}}}}[/tex]
This is the required answer
h^3+4h-25h-100
factor by grouping
show steps please
Answer:
h³-21h-100
Step-by-step explanation:
You only have to subtract 25h from 4h.
In square ABDC, if BC=8, what is x
the answer is 4 square root of 2
Answers must be in scientific notation!!!!!!!
(5.1 x 10^-3) + (7.2 x 10^-2)
(8 x 10^6) + (7.3 x 10^4)
Answer: 1. 0.0771 and 2. 8073000
Step-by-step explanation:
In the diagrama below of ABC, D is a point on
BA, E is a point on BC, and DE is drawn
B
D
E
A
С
If BD = 5, DA = 12, and BE = 7, what is the length
of BC so that AC |DE?
1) 23.8
2) 16.8
3) 15.6
4) 8.6
Answer: 1
Step-by-step explanation:
The graph of linear fiction passes through the point (2,11) and (6,21) write equation for the function
Answer:
Slope intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
(where [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)
Given:
[tex]\mathsf{(x_1,y_1)=(2,11)}[/tex][tex]\mathsf{(x_2,y_2)=(6,21)}[/tex][tex]\mathsf{slope=\dfrac{21-11}{6-2}=2.5}[/tex]
[tex]y=mx+b[/tex]
[tex]11=2.5\times 2+b[/tex]
[tex]b=6[/tex]
[tex]y=2.5x+6[/tex]
What is the value of x in this triangle
Work out the percentage increase from 320 to 388
Answer:
21%
Step-by-step explanation:
388-320=68 then divide 68 by 320 which is 0.21 then divide that by 100 or you could move the decimal 2 times to the right which makes it 21%
hope this helped!
also please tell me if I'm wrong
Can someone help me with b please??
Answer:
1) 0.25
2)4
Step-by-step explanation:
1) 12 divided by 48 is 0.25
2) 48 divided by 12 is 4
hope this helps