Answers
Answer:
A=-3
Step-by-step explanation:
To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.
To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer
Related Questions
Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)
Write subtraction of a polynomial expression as addition of the additive inverse.
(6m5 + 3 – m3 – 4m) + (m5 – 2m3 + 4m – 6)
Rewrite terms that are subtracted as addition of the opposite.
6m5 + 3 + (–m3) + (–4m) + m5 + (–2m3) + 4m + (–6)
Group like terms.
[6m5 + m5] + [3 + (–6)] + [(–m3) + (–2m3)] + [(–4m) + 4m]
Combine like terms.
Write the resulting polynomial in standard form.
Answers
Given:
The expression is:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)[/tex]
To find:
The resulting polynomial in standard form.
Solution:
We have,
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)[/tex]
Write subtraction of a polynomial expression as addition of the additive inverse.
[tex](6m^5+3-m^3-4m)+(m^5-2m^3+4m-6)[/tex]
Rewrite terms that are subtracted as addition of the opposite.
[tex]6m^5+3+(-m^3)+(-4m)+m^5+(-2m^3)+4m+(-6)[/tex]
Group like terms.
[tex][6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m][/tex]
Combine like terms.
[tex]7m^5+(-3)+(-3m^3)+0[/tex]
On simplification, we get
[tex]7m^5-3-3m^3[/tex]
Write the polynomial in standard form.
[tex]7m^5-3m^3-3[/tex]
Therefore, the required polynomial in standard form is [tex]7m^5-3m^3-3[/tex].
If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick
Answers
Answer:
31°,59°
Step-by-step explanation:
csc (2x+9)=sec(3x+26)
1/sin(2x+9)=1/cos (3x+26)
sin (2x+9)=cos(3x+26)
cos (90-2x-9)=cos(3x+26)
90=3x+26+2x+9
5x+35=90
5x=90-35=55
x=55/5=11
2x+9=2×11+9=31°
3x+26=3×11+26=59°
50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answers
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
You are baking a cake. The recipe asks for \frac{3}{5} 5 3 cup of butter and you want to make \frac{1}{5} 5 1 of the original recipe. How many cups of butter will you need?
Answers
Answer:
3/25 cup of butter
Step-by-step explanation:
You are baking a cake. The recipe asks for 3/5 cup of butter and you want to make 1/5 of the original recipe.
The calculation for the above question is given below:
1 recipe = 3/5 cup of butter
1/5 recipe = x
Cross Multiply
x × 1 recipe = 1/5 recipe × 3/5 cup of butter
x = 1/5 recipe × 3/5 cup of butter /1 recipe
x = 3/25 cup of butter
Therefore, you will need 3/25 cup of butter
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answers
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
30 Yuri has two plum trees, A and B. in his garden
А
B
Tree A produces 20kg of plums.
Tree B produces 10% more than tree A.
How many kilograms of plums in total does Yuri get from the trees?
Show your working
Answers
Answer:
42kg
Step-by-step explanation:
We are given the amount of plums produced from Tree A. We simply need to find the amount produced by Tree B and add the two numbers up.
Step 1:
Tree B produces 10% more than Tree A, which produces 20kg of plums:
[tex]B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22[/tex]
Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.
Step 2:
[tex]Total=A+B\\\\Total=20+22\\\\Total=42[/tex]
Yuri gets 42 kg of plums from the trees.
I hope this helps! Let me know if you have any questions :)
On Saturdays, Jorge coaches soccer for 1/12 of the day. He also coaches tennis and swimming, each for the same amount of time as soccer. What fraction of the day does Jorge spend coaching on Saturdays.
Answers
Answer:
3/12 or SIMPLIFIED = 1/4
Step-by-step explanation:
If he spends 1/12 of the day on soccer and he does tennis and swimming for the same amount of time that is just 1/12 +1/12+1/12=3/12 because each 1/12 is for each activity. So you answer (simplified) is 1/4
Which expression is equivalent to
Answers
Answer:
The second one from the top
Step-by-step explanation:
x^(5/3) y^1/3)
Answer:
you can rewrite expressions, for example
[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]
so yeah, option b is correct
Answers all questions correctly and show all work
1 . J + -2 = -22
2 . b - 19 = -11
3 . Y/7 = - 7
4 . -10 = -2y
Answers
Answer:
J = - 20
b = 8
Y = - 49
y = 5
Step-by-step explanation:
j + - 2 = - 22
j - 2 + 2 = - 22 + 2
j = - 20
------------------------------
b - 19 = - 11
b - 19 + 19 = - 11 + 19
b = 8
---------------------------------
y ÷ 7 = - 7
y ÷ 7 × 7 = - 7 × 7
y = - 49
------------------------------
- 10 = - 2y
- 2y = - 10
- 2y ÷ - 2 = - 10 ÷ - 2
y = 5
Find the cube root of 512
Answers
Answer:
[tex]\sqrt[3]{512} = 8[/tex]
Step-by-step explanation:
[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]
[tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]
3. Which of the following is equivalent to
3-3
Answers
Step-by-step explanation:
must be _1/27 in my opinion it's that
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
Answers
Answer:
17/9
Step-by-step explanation:
The scaled figure in the right is larger, thus the scale factor is greater than 1.
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
15a) Set the equation equal to 0 by inverse operations.
15b) Place the equation in factored form.
15c) Set each factor equal to 0 and solve for x.
I need help asap will give brainlist if answered and work is showed!
Answers
Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
Answer quickly please
Answers
Answer:
56
Step-by-step explanation:
please I'm not sure about the answer above but I'll try to solve it and help you later
Liz and erin are different ages but eat from the same size of bowl. Liz ate 4 servings of cereal. Each serving was 1/3 of a bowl. Erin ate 3 servings of cereal. Each serving was 2/3 of a bowl. Who ate more bowls of cereal?
Answers
1/3+1/3+1/3+1/3= 1and1/3 which is Liz’s amount of cereal and Erin ate 2/3+2/3+2/3=2
So Erin ate 2 bowels of cereal
Which expression is equivalent to 27 Σ 8n? N=0 hurry please my life depends on it
Answers
Given:
The expression is:
[tex]\sum\limits_{n=0}^{27}8n[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
According to the property of summation:
[tex]\sum\limits_{n=0}^{k}Cn=C\sum\limits_{n=0}^{k}n[/tex]
Where, C is a constant.
We have,
[tex]\sum\limits_{n=0}^{27}8n[/tex]
Using the above mentioned property of summation, we get
[tex]\sum\limits_{n=0}^{27}8n=8\sum\limits_{n=0}^{27}n[/tex]
The expression [tex]8\sum\limits_{n=0}^{27}n[/tex] is equivalent to the given expression.
Therefore, the correct option is C.
A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?
Answers
Answer:60%
Step-by-step explanation:
A flower shop has 8 bouquets of red lilies, 5 bouquets of pink lies and 7 bouquets of violet lilies. Raymond who is colorblind buys his gf a bouquet of lilies. What is the probability of raymond not picking red lilies
Answers
Answer:
12/20, or 3/5
Step-by-step explanation:
To find the probability of Raymond not picking red lillies, we first must establish the total amount Raymond can choose from as well as the amount of non-red lillies.
The total amount Raymond can choose from is the amount of bouqets. There are 8 red ones, 5 pink ones, and 7 violet ones. This means that there are 8+5+7=20 total bouquets.
The amount of non-red lillies is determined because we are asked to find the probability of selecting a non-red bouquet. We find the number of non-red bouquets by subtracting the total (20) by the number of red bouquets (8) to get 12.
Therefore, the total amount is 20 and the number of non-red bouquets is 12. Thus, if Raymond picks one bouquet, the probability of him selecting a non-red one is 12/20, or 3/5. The probability of him picking up a red bouquet, similarly, would be 8/20, as there are 8 options of red bouquets out of 20 total
Consider the functiony = 3x^5 - 25x^3 + 60x+ 1. Use the first derivative test to decide whether this function has a maximum at x = 1. Which of the following describes what you found?
A. The derivative is positive to the left of x = 1 and positive to the right of x = 1, so the function has neither a relative maximum nor a minimum at x = 1.
B. None of these apply
C. The derivative is negative to the left of x = 1 and positive to the right of x = 1, so the function has a relative minimum at x = 1.
D. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative maximum at x = 1.
E. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative minimum at x = 1.
Answers
Answer:
Option A
Step-by-step explanation:
Expression for the given function is,
y = 3x⁵ - 25x³ + 60x + 1
First derivative of the given function will be,
y' = 15x⁴ - 75x² + 60
For the critical points of the function,
y' = 0
15x⁴ - 75x²+ 60 = 0
x = 1
On the left side of x = 1,
Let x = 0
y' = 15(0)⁴ - 75(0)²+ 60
y = 60 [Positive]
On the right side of x = 1,
Let x = 3
y' = 15x⁴ - 75x²+ 60
y' = 15(3)⁴ - 75(3)² + 60
y' = 1215 - 675 + 60
y' = 600 [Positive]
Since, the derivative is positive on both the sides of x = 1,
Function will have neither maximum neither minimum at x = 1.
Option A is the answer.
sin(A+B-C) find the equation
Answers
Answer:
[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]
Step-by-step explanation:
Given:
Sin (A + B - C)
Find;
Expansion of given expression
Computation:
Sin (A + B - C)
Sin [(A + B) - C]
Sin(A + B)CosC - Cos(A + B)SinC
[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC
SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC
[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]
so L x W=A so I have a problem where one side is 9cm on the other sides there's nothing
Answers
Answer:
The other sides equal 9cm also because a square has four equal sides.
L=9cm * W=9cm =A
A=81 cm
Name the marked angle in 2 different ways.
Answers
1) Angle EGF
2) Angle FGE
The potential solutions to the radical equation are a = −4 and a = −1. Which statement is true about these solutions? The solution a = −4 is an extraneous solution. The solution a = −1 is an extraneous solution. Both a = −4 and a = −1 are true solutions. Neither a = −4 nor a = −1 are true solutions.
Answers
Answer:
Both a = −4 and a = −1 are true solutions
Step-by-step explanation:
Given
[tex]\sqrt{a + 5} = a + 3[/tex]
[tex]a = -4; a = -1[/tex]
Required
The true statement about the solutions
We have:
[tex]\sqrt{a + 5} = a + 3[/tex]
Square both sides
[tex]a + 5 = (a + 3)^2[/tex]
[tex]a + 5 =a^2 + 6a + 9[/tex]
Collect like terms
[tex]a^2 + 6a - a + 9 - 5 = 0[/tex]
[tex]a^2 + 5a + 4 = 0[/tex]
Expand
[tex]a^2 + 4a + a + 4 = 0[/tex]
Factorize
[tex]a(a + 4) + 1(a + 4) = 0[/tex]
Factor out a + 4
[tex](a + 1)(a + 4) = 0[/tex]
Split:
[tex]a + 1 = 0; a + 4 = 0[/tex]
Solve:
[tex]a =-1; a = -4[/tex]
Answer:
C on 3dge
Step-by-step explanation:
Both a = −4 and a = −1 are true solutions
solve for x, show work please! 25 points.
Answers
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area of the room in m².
Answers
Answer:
768 m²
Step-by-step explanation:
8 x 400 = 3200 cm = 32 m
6 x 400 = 2400 cm = 24m
32 x 24 = 768 m²
Which function is represented by this graph
Answers
Answer:
B. f(x)= 2x-1
Step-by-step explanation:
The -1 is the y-intercept; 2x is the slope.
PLEASE, WILL GIVE BRAINLIEST! THANKS! Hey guys LOL
Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answers
Answer:
y=1x-4
Wait sorry I did it wrong the first time lol.
In standard Form, it should be 4x-4y=16
Step-by-step explanation:
yes yes hand me brain
A bag contains two striped cubes, five dotted cubes, five white cubes, and three red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn
Answers
The probability of drawing two striped cubes in succession, without replacing the first cube drawn is
1/136
What is probability?Generally, The possibility of an occurrence may be quantified using the concept of probability. It is a number between 0 and 1, where 0 indicates that an event will never happen and 1 indicates that an event will definitely take place.
Probabilities may be represented as fractions, decimals, or percentages somewhere between 0 and 1, inclusive. In each given circumstance, the sum of the probabilities of all of the conceivable outcomes must equal 1.
The probability of drawing a striped cube on the first draw is 2/17 (there are 2 striped cubes out of a total of 17 cubes in the bag).
The probability of drawing a second striped cube, given that the first one was not replaced, is 1/16 (there is now only 1 striped cube left in the bag out of a total of 16 remaining cubes).
The probability of both events happening is the product of the individual probabilities:
(2/17) * (1/16) = 1/136
Read more about probability
https://brainly.com/question/30034780
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Describe the transformation that maps f(x)=x3 onto f(x)=2(x−5)3
Answers
Answer:
5 units to the right
Step-by-step explanation:
(x-5) is considered as a horizontal shift and since it has got (-) you count to the right
Find the value of x. Round to
the nearest tenth.
27°
х
34°
11
X = [ ?
Answers
Answer:
[tex]{ \tt{from \: sine \: rule : }} \\ { \bf{ \frac{ \sin(A) }{A} = \frac{ \sin(B) }{B} }} \\ \\ { \bf{ \frac{ \sin(34 \degree) }{x} = \frac{ \sin(27 \degree) }{11} }} \\ \\ { \bf{x = \frac{11 \times \sin(34 \degree) }{ \sin(27 \degree) } }} \\ \\ { \tt{x = 13.5}}[/tex]