Answer:
when x=0 ,y=7
when x=-1, y=6
Step-by-step explanation:
Taking [tex]y=x^{2} +2x+7, y=x+7[/tex] as equation 1 and 2 respectively
Inserting equation 2 in 1,
[tex]x+7=x^{2} +2x+7\\[/tex]
getting rid of 7 since its in both the sides with the same + signs,
[tex]x^{2} +2x-x=0\\x^{2} +x=0\\x(x+1)=0\\x=0 / x=-1[/tex]
when x=0 ,
y=7
when x=-1 , y=6
Can someone answer this
Answer:
54
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = 81 ← value of y from table for x = 4
f(a) = f(3) = 27 ← value of y from table for x = 3
average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54
The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.
Which interval contains the median temperature?
A.)50 - 59
B.)60 - 69
C.)70 - 79
D.)80 - 89
B)60-69
I guess option B is correct as it's frequency is higher
Answer:
answer is B. 60-69
Step-by-step explanation:
because I said so?
Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to
Answer:
arithmetic
Step-by-step explanation:
geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time
Answer:
This is an arithmetic sequence and the common difference is equal to 2.
need help now! (probibility)
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?
Answer:
36%, I'm fairly certian
Step-by-step explanation:
A. 90%
B. 60%
C. 30%
D. 36%
D. makes the most sense to me
The probability of going to the amusement park will be 60%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.The probability will be calculated as:-
[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]
Therefore probability of going to the amusement park will be 60%.
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The cost of 15 kg of apples is $262.50. Find the cost of 25 kg of apples
Answer:
525.00
Step-by-step explanation:
The cost of 25 kg of apples is $437.5.
What do we mean by cost ?"A cost is an expenditure required to produce or sell a product or get an asset ready for normal use. In other words, it’s the amount paid to manufacture a product, purchase inventory, sell merchandise, or get equipment ready to use in a business process.
There are many different costs, including fixed and variable, but they are all accounted for in the same way. Costs are recorded as expenses on the income statement during and accounting period and cleared out in a closing entry at the end of the period."
The cost of 15 kg is $262.50.
So, the cost of 1 apple is 262.50/15
= 17.5
Cost of 25 kg = [tex]17.5 * 25 = 437.5[/tex]
Hence, the cost of 25 kg of apples = 437.5
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algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answer:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
16x³-128y³
pls answer fast
Answer:
16x³-128y³
2((2x)³-(4y)³)
2(2x-4y)(4x²+8xy+16y²)
2×2×4(x-2y)(x²+2xy+4y²)
16(x-2y)(x²+2xy+4y²)
is your answer in factor form.
The required factor is given by 16(x-2y)(x²+2xy+4y²)
factors can be defined as the the numbers that multiply to give that number.
Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)
[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]
Thus the required factor is given by 16(x-2y)(x²+2xy+4y²).
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Finding probability
Answer:
6/8??
Step-by-step explanation:
I am a little confused with the question but i believe its 6/8
In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.
The image of the triangle is missing so i have attached it.
Answer:
ZY ≈ 391
Step-by-step explanation:
From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°
Now, similarly ∠XZY = 180 - (40 + 90) = 50°
Using sine rule, we can find WZ;
WZ/sin 40 = XW/sin 50
We are given XW = 600
Thus;
WZ = (600 × sin 40)/sin 50
WZ = 503.5
Now, ZY can be found using trigonometric ratios;
ZY/WZ = sin 51°
Thus;
ZY = 503.5 × sin 51
ZY ≈ 391
A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?
A. 60
B. 105
C. 120
D. 180
Answer:
105
Step-by-step explanation:
(30/1000) * 3500 = 105
-Cuántos números 2 veras si cuentas de del 10 al 22?
Answer:
12
Step-by-step explanation:
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
Gabrielle's age is three times Mikhail's age. The sum of their ages is 80. What is Mikhail's age?
Answer:
Mikhail is 20 years old
Step-by-step explanation:
80 = Mikhail + Gabrielle
Gabrielle is 60 years old
Mikhail is 20 years old
20 * 3 = 60
20 + 60 = 80
what's the answer dhdhdizdjskxi
Answer:
138 ft for the area in the proposed design of the green section.
To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.
Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.
If 9:3 is equal to 3:1 and then what is 12:4 equal to ?
Answer:
36:12 or 3:1
Step-by-step explanation:
12:4= 36: 12
or 12:4 simplify= 3:1
hope it helps
twice a number divided by 3
Answer:
3/4
Step-by-step explanation:
Solve for x: help me
Answer:
[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]
Answer:
8
Step-by-step explanation:
8x-4=60
What is 7.936 rounded to the hundredths place
Answer:
7.94 is your answer
Step-by-step explanation:
......
Who can answer this ( see image).
9514 1404 393
Answer:
042
Step-by-step explanation:
The first clue tells you the possibilities are ...
6__, _8_, or __2
The second clue eliminates 6__ and tells you the possibilities are ...
18_, _81, 1_2, 48_, _42
The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.
042 is consistent with the last 2 clues.
The 3-digit key is 042.
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
solve the system of equations x-y=-14 and 5x+7y=-10 by combining the equations.
Answer:
x+y=-4
Step-by-step explanation:
you need to solve this using elimination!
add both equations to each other:
x-y=-14
5x+7y=-10
the answer would be
6x+6y=-24
to go further,
it would be....
x+y=-4
because you can divide both sides by 6
hope this helped <33333
i need help with geometry
Answer:
Pyramid
Step-by-step explanation:
What is the volume of the right rectangular prism, in cubic centimeters?
Answer:
108 units
Step-by-step explanation:
Volume = length × width × height
V = 4 × 3 × 9
V = 108 units
Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,
Answer:
immma send you the link friend me on hereStep-by-step explanation:
An interior designer made a scale model of a room. Each 1 inch in the model represented 12 feet in the actual 1 room. If the length of a hall was 2 inches in the model, what was the actual length of the hall?
Answer:
Step-by-step explanation:
Jxjcjja
Decide whether the triangle can be proven congruent I need help
Answer:
I think AAS can be used
Step-by-step explanation:
6x - 4y = 38
x + y = 5
Answer: y= -4/5 and x= 29/5
Step-by-step explanation:
From eqn2 , x= 5-y. Thus substituting in eqn1 will give
6(5-y)-4y=38
30-6y-4y=38
30-10y=38
-10y=38-30
-10y= 8
y=8/-10---> y= -4/5
Substituting y in eqn2 we have
x+(-4/5)=5
x=5+4/5
x=29/5
Help !!!!!!!!! !!!!!!!!!!!!
Answer:
28
Step-by-step explanation:
Add up the angles of the ones given so
40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28
I hope this helped!
Answer:
28°
Step-by-step explanation:
40° + 112 ° + angleCBA =180
152°+ angleCBA= 180
angle CBA=180° - 152°
angle CBA= 28°
IF you add 6 tens of thousands, 5 thousands and 3 hundreds together what is the value of the largest digit of the answer?
Answer:
ten thousands place
Step-by-step explanation:
6 tens of thousands = 60,000
5 thousands= 5,000
3 hundreds= 300
60,000
+ 5,000
+ 300
65,300