Help why did I get this wrong? Corrections!!! Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Answers
The line is g(x) = 2x
Use www.cymath.com and enter the following line and press enter.
graph y = 2x^2 + 1; y = 2x
You will see that the line passes through the origin (0, 0), and goes up to the right and stays to the right of the parabola, so the two graphs do not intersect.
Related Questions
choose the answer that best completes the sentence. if you know a root of a function is -2 + sqrt3 , then __
A. 2 + sqrt3 is a possible root
B. 2 + sqrt3 is a known root.
C. -2 - sqrt3 is a possible root.
D. -2 - sqrt3 is a known root.
Answers
answer:
d. -2 - sqrt3 is a known root.
hope this helps! :o)
Answer:the answer is D
Step-by-step explanation:
A serving of a certain cereal has 8 grams of sugar in 1 portion. Which equation shows how the amount of sugar and the number of portions are related? The s stands for the grams of sugar and the p stands for the portions of cereal.
Answers
it would be p=1 and s=8
it helps to keep on going like a chart
ex: 1/8 2/16 3/24 etc
your gamer unstopableboy21
The equation relating sugar amount and portions in a cereal serving is s = 8p. To find how many servings of cereal are needed to consume a specific amount of sugar, moles are converted to grams, then related to the sugar content per serving.
The equation relating the amount of sugar (s) and number of portions (p) in a serving of cereal is:
s = 8p
To answer the given problem, let's relate moles of sugar to grams and servings. First, we convert moles to grams, then use the sugar content in grams per serving to find the number of servings needed to consume the specified amount of sugar.
1. What is the value of w? 7, 3.5, 7(sqrt)of 3, 14
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The value of w is 14.
What is the value of w?The image given is a right angled triangle. In order to determine the value of the hypotenuse, w, tan would be used.
Cos 30 = adjacent / hypotenuse
√3 / 2 = 7√3 / hypotenuse
hypotenuse = 7√3 ÷ √3/2 = 14
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Determine the equation for the parabola graphed below.
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So given the vertex is at (-1, 7), this means that b = -1 and c = 7:
y = a(x + 1)^2 + 7
Then we substitute a point from the graph (aside from the vertex). The easiest is the y-intercept of (0, 5):
5 = a(1)^2 + 7
a = -2
Therefore the equation is: y = -2(x + 1)^2 + 7 = -2x^2 - 4x + 5
The equation for the parabola graphed below is [tex]y = -2(x + 1)^2 + 7 = -2x^2 - 4x + 5[/tex]
A parabola's general equation is: y = a(x - b)2 + c
Given that the vertex is located at (-1, 7), this means that b = -1 and c = 7:
y = a(x + 1)^2 + 7
Then, instead of the vertex, we replace a point from the graph. The y-intercept of (0, 5) is the simplest:
5 = a(1)^2 + 7
a = -2
As a result, the equation is as follows: [tex]y = -2(x + 1)^2 + 7 = -2x^2 - 4x + 5[/tex]
What is the minimum number of weighings on a balance scale need to find a counterfeit coin among 8 coins if the counterfeit coin is either lighter or heavier that the other true coins (which are all the same weight.) describe the algorithm to find the counterfeit coin in this minimum number of weighings?
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First you would weigh coins against each other in pairs.
-Coins 1 and 2 vs Coins 3 and 4
-Coins 5 and 6 vs Coins 7 and 8
One of the 4 pairs would weigh more or less than the other. Once you have determined that pair and whether it is more or less, then weigh the coins in that pair against each other. Use whether the pairing was more or less than the other pairing to determine which of the coins you are looking for.
To find a counterfeit coin among 8 coins with a balance scale, divide the coins and use up to 3 weighings. The algorithm involves grouping and comparing the weights, identifying the counterfeit in the imbalanced group.
Algorithm to Find a Counterfeit Coin among 8 Coins
To find a counterfeit coin among 8 coins with a minimum number of weighings on a balance scale, we need at most 3 weighings. Here is the step-by-step algorithm:
Divide the 8 coins into three groups: two groups of 3 coins each, and one group of 2 coins.Weigh the two groups of 3 coins against each other.If they balance, the counterfeit coin is in the group of 2 coins. Weigh those two coins against each other to find the counterfeit one.If the two groups of 3 coins do not balance, take the lighter or heavier group (depending on whether the counterfeit is known to be lighter or heavier) and divide the 3 coins into three groups of 1 coin each.Weigh one coin against another. If they balance, the third coin is the counterfeit. If they do not balance, the heavier or lighter coin (again, depending on the counterfeit's known weight difference) is the counterfeit.With this algorithm, the maximum number of weighings needed to determine the counterfeit coin is three.
A circle has a radius of 2 cm.
How does the circumference of the circle compare to the area?
Drag and drop a phrase to correctly complete the sentence.
A. Greater Than
B. Less Than
C. Equal To
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5+25+125+625+3125+15625 rewrite each series using sigma notation
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2. You must find the ratio (r) between the adjacent members. Then, you have:
25/5=5
125/25=5
625/125=5
3125/625=5
15625/3125=5
3. Therefore, the ratio is:
r=5
4. Then, each term has te form 5^k. So, you have:
5^1=5
5^2=25
5^3=125
5^4=625
5^5=3125
5^6=15625
5. As you can see, "k" goes from 1 to 6.
6. The answer is shown in the image attached.
Final answer:
The series 5+25+125+625+3125+15625 can be rewritten in sigma notation as Σ 5*5^(n-1) from n=1 to 6, representing a geometric series with a common ratio of 5 and 6 terms.
Explanation:
To rewrite the series 5+25+125+625+3125+15625 using sigma notation, we first need to identify the pattern of the series. We notice that each term is 5 times the previous term, which is a characteristic of a geometric series. A geometric series can be expressed in sigma notation as Σ a*r^(n-1) from n=1 to N, where a is the first term, r is the common ratio between terms, and N is the number of terms.
In this series, a = 5, and r = 5. The series has 6 terms, so N = 6. Therefore, the series in sigma notation is Σ 5*5^(n-1) from n=1 to 6.
John says the transformation rule (x, y) es002-1.jpg (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
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The appropriate transformation rule is (x -4, y-7).
_____
John's signs were in error.
Sample Response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
Determine 10th term : 5,-25,125
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Keep doing this until you reach the tenth term.
You will get -9,765,625.
Hope this helps!
Before a renovation, a movie theater had 111 seats. after the renovation, the theater has 144 seats. what is the approximate percentage increase of the number of seats in the theater? if necessary, round to the nearest tenth of a percent.
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percentage increase = 33/111 x 100 = 29.8% (nearest tenths)
suppose the digits cannot repeat. find the number of possible two-digit and three-digit codes. 1,2,3,4,5
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Factorise fully 6m+18
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6(m+3)
that's the answer
The factorised form of 6m + 18 is given by the equation: 6(m + 3).
Given :
Equation - 6m + 18
Solution :
Factorisation is the method of diminishing the bracket of a quadractic condition, rather than growing the bracket and changing over the condition to a item of variables which cannot be decreased assist.
To factorise the equation 6m + 18 we have to follow some steps:
In first step we have to write 18 = [tex]6\times 3[/tex] so the equation becomes:
[tex]\rm = 6m + (6\times3)[/tex] ----- (1)
In second step we have to take 6 common from equation (1):
[tex]\rm=6(m+3)[/tex]
So the factorised form of 6m + 18 is given by the equation: 6(m + 3)
For more information, refer the link given below
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What number would you add to complete the square for the equation below?x2 + 10x = 0?
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[tex](\dfrac{b}{2})^2[/tex]
to each side.
Here, the coefficient b is equal to 10. We take half of this—5—and square it to get 25. We add this to both sides of the equation.
FYI, this equation can easily be factored, so there's no need to complete the square.
Please show all work
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.. 10x +6y = 30 . . . . . . . total distance = 30 km
1b) x +y = 4 . . . . . . . . . . total of time spent running and walking is 4 hours
2) See the graph for points and plots.
what is the 8th term in the following sequence 28,33,38,43.....
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28, 33, 38, 43, 48, 53, 58, 63 63 is the 8th term.
The vertex of this parabola is at (-1,-3) which of the following could be its equation
A. x = -2(y + 3)2 - 1
B. x = -2(y - 1)2 - 3
C. x = -2(y - 3)2 - 1
D. x = -2(y + 1)2 - 3
Answers
Option: A is the correct answer.
[tex]x=-2(y+3)^2-1[/tex]
Step-by-step explanation:We know that any general equation of a right or left open parabola is given by:
x=a(y-k)^2+h
where if a<0 then the parabola open to the left and if a>0 then the parabola opens right.
Also the vertex of the parabola is: (h,k)
Now here we are given:
Vertex (h,k)=(-1,-3)
Also a= -2 in each of the options.
Hence, we have the equation of parabola as:
[tex]x=-2(y-(-3))^2+(-1)\\\\x=-2(y+3)^2-1[/tex]
Hence, the equation of the parabola is:
[tex]x=-2(y+3)^2-1[/tex]
Luis strength trains two times per week. He uses 12-pound weights and performs three sets of eight repetitions. He wants to improve his frequency. What should he do?
Increase to 10 repetitions.
Increase to 15-pound weights.
Increase to four sets.
Increase to three times per week.
Answers
To improve his frequency in strength training, Luis should increase his strength training days to three times per week. Hence, the correct option is fourth.
Luis wants to improve his frequency in strength training. Since he is already training twice a week, to enhance frequency, he should consider increasing the number of days he strength trains. Therefore, the best option for Luis would be to increase to three times per week. This aligns with the muscle-strengthening activities recommendation which suggests activities should be performed on 2 or more days a week, and this can be increased over time. Luis can also regularly increase the intensity of his workouts by adding more weight or sets, to ensure continuous muscle overload and growth.
The proportional relationship between the number of pages (p) and the number of hours (h) is represented by the equation . Write the equation in standard form with a constant of proportionality greater than 1.
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Answer:
the answer is p=40h, hope this helps!!!
Step-by-step explanation:
Jenna's parents required her to put $10 of her $50 monthly allowance into a savings account for what percent of her monthly allowance did this represent?
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Final answer:
To determine the initial amount needed in a bank account to reach $10,000 in ten years with 10% compound interest, use the compound interest formula.
Explanation:
To find out how much money you need to put in a bank account to have $10,000 in ten years with 10% interest compounded annually:
Use the formula for compound interest: A = P(1 + r/n)^(nt)
Plug in the values: $10,000 = P(1 + 0.10/1)^(1*10)
Solve for P: P = $10,000 / (1.10^10)
Calculation:
PV = FV / (1 + r/n)^(n*t)
Inserting the known values:
PV = $10,000 / (1 + 0.10/1)^(1*10)
PV = $10,000 / (1.10)^10
Calculating the exponent:
PV = $10,000 / 2.59374
Finally:
PV = $3,855.43 (approximately)
Therefore, you need to put approximately $3,855.53 into the bank account initially.
Can someone please help me solve this problem????
Weston is buying a house for $215,000. He is financing $185,000 and obtained a 30-year, fixed-rate mortgage with a 6.525% interest rate. How much are his monthly payments?
$1,005.94
$1,362.48
$1,614.09
$1,172.37,
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PMT=P[(r/n)/1-(1+r/n)^-ny]
where:
P=Principal Value
r=rate
n=number of compoundings/year
y=year
To solve:
*Weston is only financing $185,000.
P=$185,000
r=6.525% or 0.06525
n=12 (monthly)
year=30
PMT=185000[(0.06525/12)/1-(1+0.6525/12)^-12*30
= 185000[(.0054375)/1-(1+.0054375)^-360
= 185000[(.0054375)/1-(1.0054375)^-360
= 185000[(.0054375)/1-(0.142)
= 185000[(.0054375)/(.858)
= 185000(0.00634)
= 1,172.37
Answer: $1,172.37
for the final answer do i add the 5 to (x+1) making it 5x+5 or do i leave it how it is? Also how do i find the domain
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It depends on what your teacher or answer key expect. You can take a hint from the fact that the given polynomials are all multiplied out.
(5x^2 +5)/(x -1)
_____
The domain of polynomials in general is "all real numbers." However, you must exclude any specific numbers that make the rational expression be undefined. This includes numbers that make the denominator of the numerator zero, as well as those that make either the numerator or the denominator of the denominator zero. In other words, you must exclude from the domain
.. x ∈ {-5, 1, 2}
What does -3.4 E + 38 mean? (In normal number terms).
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Therefore, "-3.4 E + 38" means -3.4x10^38.
The "+38" means there are 38 zeros following a 1 as the exponent. It also works with negative numbers. For example, E-3 equals 10^-3
What is the lateral area of this regular octagonal pyramid?(PICTURE ONE)
114.8 cm²
162.4 cm²
229.7 cm²
281.3 cm²
2.What is the slant height x of the square pyramid?(PICTURE 2)
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 8 meters. The lateral edge makes a 60 degree angle with the base edge
Express your answer in radical form.
3.What is the surface area of this square pyramid? (pICTURE 3)
Round your answer to the nearest tenth, if necessary.
43.8 yd²
66.6 yd²
105 yd²
171.6 yd²
Answers
the lateral area of the pyramid is the total area of all the lateral faces excluding the base.
In this regular octagonal pyramid, the lateral sides are triangles. As there are 8 triangles we need to find the area of all 8 sides.
Area of one lateral triangle face = 1/2 * base * slant height
slant height is the hypotenuse of the right angled triangle formed from the base of the pyramid with the perpendicular height.
slant height - l
l² = 7² + 7² = 49 *2
l² = 98
l = √98
l = 9.9
Area = 1/2 * 5.8 cm * 9.9 cm
= 28.71 cm²
There are 8 sides
total lateral area = 8 * 28.71 = 229.68 rounded off is 229.7 cm²
third option is correct - 229.7 cm²
Q2)
in the triangular face, the lateral edge makes a 60° angle with the base edge. Therefore 2 of the angles are 60° each, since the sum of the interior angles of a triangle is 180°, the third angle too is 60°. this makes the triangle an equilateral triangle with equal angles, hence equal sides.
since lateral edge is 8 cm,base edge too is 8 cm.
since this is an equilateral triangle, the perpendicular line cuts the base edge at its midpoint, bisecting the line forming 2 right angled triangles.
in the right angled triangle, height of triangle is x slant height ,
base = 8 /2 = 4 cm
hypotenuse = 8 cm
We need to find x, use Pythogoras' theorem
4² + x² = 8²
16 + x² = 64
x² = 62 - 16
x = √48
x = √4x√4x√3
= 2x2√3
= 4√3 cm
Q3)
surface area of the square pyramid
surface area of the base + surface area of triangular faces
square area = length x length
= 6.2 x 6.2
= 38.44 yd²
triangular face area = 1/2 * length * height
since the angle between lateral edge and base edge is 60°, its an equilateral triangle where all sides are equal. in this case each side is 6.2 yd.
to find the perpendicular height, use pythogoras' theorem
the perpendicular line(slant height ) cuts the base edge at its midpoint, therefore length of the right angled triangle is = 6.2/2 = 3.1 yd
slant height - l
l² + 3.1² = 6.2²
l² = 38.44 -9.61
l² = 28.83
l = 5.37
area = 1/2 *length *height
= 1/2 * 6.2 * 5.37
= 16.64 yd²
there are 4 triangles = 4 * 16.64 = 66.58 yd²
total area = 38.44 + 66.58 = 105 yd²
correct answer is 3rd option - 105 yd²
Answer:
1. 229.7cm^2
2. 4 (square root) 3 cm
3. 16.64yd^2
Step-by-step explanation:
I just took th test, and came to confirm the other guys' answers ;)
You can draw a quadrilateral with two sets of parallel lines and no right angles? @KamiBug,
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What is an equation stating that two ratios are equivalent.
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A proportion is an equation that shows two ratios are equivalent, such as 1/2 = 3/6. It is commonly used with unit rates and unit scales in various fields including science, engineering, and everyday measurements.
Explanation:An equation stating that two ratios are equivalent is known as a proportion. For example, the equation 1/2 = 3/6 is a proportion because it shows that the two ratios have the same value. Proportions are very useful in various aspects of mathematics and science. Notably, they are essential when dealing with unit rates and unit scales, where comparisons between two measurements are made.
A unit rate is a special kind of ratio where one of the quantities is one, such as 55 miles per hour (55/1 mph). It describes how many units of the first type of measurement corresponds to one unit of the second type of measurement. Similar in concept, a unit scale compares the dimensions of an actual object to a model or drawing. For instance, a map might have a unit scale that reads 1 inch = 100 feet, which would be written as 1 inch/100 feet.
When applying proportions in real-world scenarios, we can create conversion factors to switch from one measurement to another. This is directly applicable to cooking recipes, chemistry with mole ratios, or engineering with the transformer equation, where ratios of different quantities are kept consistent.
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MEDAL!!!!
A narrator who is not part of the story and only knows particular portion of thoughts and feelings is
A. first person
B. second person
C. third person limited
D. third person omniscient
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NEED HELP ASAP AND WILL GIVE A MEDAL ***
Tammy is using a treadmill, and when she puts her hands on the bar, sensors read her heart rate. Today, the sensors are telling Tammy that she is reaching 183, which is the highest rate in her target zone. What should she do to get the most effective workout?
Increase her running speed without adjusting the incline
Use the machine to maintain or decrease her intensity
Do additional aerobic exercises immediately after the treadmill
Use the machine to increase the incline and intensity,
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Which of the following represents the graph of f(x) = 2(x + 3)?
A. https://cdn.flvsgl.com/assessment_images/algebra2_v14_gs-xml/93228_559e8103/08_14_17.gif
B. https://cdn.flvsgl.com/assessment_images/algebra2_v14_gs-xml/93228_559e8103/08_14_18.gif
C. https://cdn.flvsgl.com/assessment_images/algebra2_v14_gs-xml/93228_559e8103/08_14_19.gif
D. https://cdn.flvsgl.com/assessment_images/algebra2_v14_gs-xml/93228_559e8103/08_14_20.gif
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the correct expression is
y=2^(x+3)
using a graph tool
see the attached figure
the answer is the option C
How do you do this? It's so confusing! Please help!
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notice AB ⟂ BC , whilst ∡B = 30°.
now, if we run a perpendicular line from C to AB, it'll be a 90° angle at M, however ∡AMC has to be 105°, so it has to be slanted more towards A, like in the picture, and surely you already know which one is the shortest.
Kail Ryans 10 laps around the track each day each lap around the track is 400 m meters how many times around the track will she need to run a total of 12 kilometers
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1 km = 1000 m
12 km = 12,000 m
Each day, she runs 10 * 400 m = 4000 m
12,000 m / 4000 m = 3
It will take 3 days.
Have a nice day