Answers
A) y intercept is (0,3)
C) Axis of symmetry is x = -1
D) Vertex is (-1, 4)
So basically everything but choice B is true.
========================================
Explanation:
Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.
-------------------
To check choices B through D, let's convert the equation into vertex form.
y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where
a = -1
b = -2
c = 3
The vertex is located at (h,k) such that h = -b/(2a)
Plug the values of 'a' and 'b' into the equation below
h = -b/(2a)
h = -(-2)/(2*(-1))
h = 2/(-2)
h = -1
The x coordinate of the vertex is x = -1
Then use this to find the y coordinate of the vertex
y = -1x^2 - 2x + 3
y = -1(-1)^2 - 2(-1) + 3
y = 4
The y coordinate of the vertex is 4, meaning k = 4
The vertex overall is (h,k) = (-1, 4)
This shows choice D is true, meaning choice B has to be false.
Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.
Related Questions
Write the following fractions in order of size
1/3
3/4
1/4
7/12
1/2
Start with the smallest fraction.
Answers
Ans wer 7/12 3/4 1/3 1/2
Step-by-step explanation:
A news service conducted a survey of 1026 adults ages 18 years or older in a certain country, August 31minus−September 2, 2015. The respondents were asked, "Of every tax dollar that goes to the federal government, how many cents of each dollar would you say are wasted?" Of the 1026 individuals surveyed, 36% indicated that 51 cents or more is wasted. The news service reported that 3636% of all adults in the country 18 years or older believe the federal government wastes at least 51 cents of each dollar spent, with a margin of error of 55% and a 99% level of confidence. Complete parts (a) through (e) below. What is the researchobjective?
A. To determine the number of adults in the country paying their taxes to the federal government
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar
C. To determine the number of adults in the country
D. To determine the number of adults in the country who believe the federal government wastes 51 cents or more of every dollar
Answers
Answer:
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
Step-by-step explanation:
Given that:
sample size = 1026
sample proportion = 0.36
Margin of error = 55% = 0.55
Confidence interval level = 99%
The purpose of this question is to determine the research objective:
The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
What is the value of a in the equation a = 2 + 3a + 8? (5 points)
Group of answer choices
5
10
−5
−10
Answers
Step-by-step explanation:
a = 2 + 3a + 8
a = 10 + 3a
a - 3a = 10
-2a = 10
a = -5
Q» 7. A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram On O 1,017.88 in. O 254.47 in.3 O 84.82 in. 9 in. O 339.29 in. 3 CLEAR ALL 6 in. Which measurement is closest to the volume of the party hat in cubic 2.
Answers
Answer:
The answer is 84.82 in^3
Step-by-step explanation:
What’s the answer to this? Thanks!
Answers
Answer:
D
Step-by-step explanation:
I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952
Sorry if this isnt enough, but i am sure.
Answer:
D. 11 < x < 19.
Step-by-step explanation:
The third side x is between 11 and 19 cm.
Consider sides AB (length 4) and BC (length 15) of the triangle.
Consider the angle between AB and BC is slightly less than 180 degrees. To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.
Consider the angle between AB and BC is slightly more than 0 degrees. To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.
how do i solve -3=-2x+1 by graphing?
Answers
Answer:
x = 2
Step-by-step explanation:
-3 = -2x + 1
minus 1 to the both sides
-3 -1 = -2x
-4 = -2x
divide both sides by -2
x = 2
When
4a- a x 3a + 7a
is simplified it is equivalent to?
Answers
Answer:
-3a^2+11a
Step-by-step explanation:
Answer:
4a-a×3a+7a
or, 3a×3a+ 7a
or,9a+7a
or,16a
:. a =16
The ratio of red marbles to black marbles is 4:7. If the bag consists of 77 marbles in all, how many red marbles are in the bag?
Answers
Answer:
28:49
Step-by-step explanation:
4:7 is equal to 11 total marbles and if there are 77 you would multiply each number by 7
Find the geometric mean of the data below:
2, 5, 7
Answers
Answer:
[tex]\sqrt{70}[/tex]
Step-by-step explanation:
Given data:
2, 5 , 7
The geometric mean is a measure of central tendency of a data set which utilizes the product of their values
To find the geometric mean of the given values;
multiply them togetherfind the square root;Geometric mean = [tex]\sqrt{2 x 5 x 7 }[/tex]
Geometric mean = [tex]\sqrt{70}[/tex]
help im being timed what is the area of the rectangle?!
Answers
Answer:
30
Step-by-step explanation:
Hope this helps.
9-2*x=35
A. -13
B. -22
C. 48
Answers
Answer:
x= -13 (a)
Step-by-step explanation:
-2x=35-9
-2x=26
x=-13
hope this helps x.
Answer:
-13
Step-by-step explanation:
9-2/x=35
9-2/x=35
-2/x=35-9
-2/x=26
-2=26x
26x=-2
x=-1/13
Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answers
Combine like terms
6x - 15 = 111
Add 15 to each side.
Evaluate
6x = 126
x = 21
Plug x back into the equation for angle EFG.
EFG = 3x -20
3(21) - 20
EFG = 43 degrees
Answer:
[tex] m\angle EFG =43\degree[/tex]
Step-by-step explanation:
[tex] m\angle EFG +m\angle GFH = m\angle EFH\\\\
(3x-20)\degree + (3x+5)\degree =111\degree \\\\
(3x-20+3x +5)\degree =111\degree \\\\
(6x-15)\degree =111\degree \\\\
(6x-15) =111 \\\\
6x = 111 + 15\\\\
6x = 126\\\\
x = \frac{126}{6}\\\\
x = 21\\\\
m\angle EFG = (3x-20)\degree\\\\
m\angle EFG = (3\times 21-20)\degree\\\\
m\angle EFG = (63-20)\degree\\\\
m\angle EFG =43\degree\\[/tex]
25 POINTS!! which point is a solution to the inequality shown in this graph 3,-1 -3,-3
Answers
Answer:
(3, 3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its (3,-1)
Which equation would intersect the line on the graph at the point (-2,
-2)?
Answers
Answer:
Y = 0x-2.
Step-by-step explanation:
I don't want the question of my teachers being in my b or I am a good time wi and I am
what multiples to give you -30 and adds to give you -13
Answers
Answer:
This is impossible
Step-by-step explanation:
But try -10x-3=30 -10+-3=-13
...... help lots of points available (plz answer it)
Answers
(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX
2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK
3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR
Answers
I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.
1/2(x+2)=5(x+2) solve the following completely
Answers
Answer:
X is equalled to '' - 2''
Step-by-step explanation:
If you need an explanation, leave a comment ;) As my hand writing is very messy. I'll write it here if you want.
Cheers! :)
I NEEDA KNOW IF IM RIGHT , IDK HELP
Answers
Answer:
CD and DE are perpendicular because their slopes are -1/3 and 3
Step-by-step explanation:
Perpendicular lines will always have the opposite reciprocal.
Explain the Error
Find the error in the solution, and then solve it correctly.
7x + 21 + 6x = 4
7x + 21 = -2
7x = -23
-23
7
(select) was subtracted from the left side, but (select) was subtracted from the right side. The
Subtraction Property of Equality states that you can subtract the same number from each side and the
equation will remain true. But 6x and 6 are not the same number (unless x is (select)).
X =
Answers
Answer:
Step-by-step explanation:
7x+21+6x=4 combine terms
13x+21=4 subtract 21 from both sides
13x= -17 divide by 13
x= -17/13
does 2, 2, √4 make a right triangle
Answers
Answer:
No it can'tright angle triangle
Step-by-step explanation:
2, 2, √4 can't make a right triangle
By Pythagoras theorem the square of two sides equal to the third side of the triangle.
2^2+2^2=(√4)^2
4+4=4
8 is not equal to 4 so it not make right angle triangle.
if you multiply 5 and then blank and it equals 565 what the missing number?
Answers
Which one is the linear function of x.
I know it is not A or C
Answers
Answer: d
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answers
Answer:
1/2 * 7/4 = 7/8
Thank you and please rate me as brainliest as it will help me to level up
What set of numbers is arranged from largest to smallest? (Mind the blue on one of the answers)
Answers
Answer:
B
Step-by-step explanation:
it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is
Hope this helps:)
Please help me ASAP!
Answers
Answer:
angle 4
Step-by-step explanation:
hii guys happy chota dipawali
Answers
Answer:
yay thats so coolllllllll
GEOMETRY QUESTION, HELP PLEASEEE.
Answers
Answer:
The pre-image C is (2, 5)
Step-by-step explanation:
If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)∵ Point C was rotated 270° clockwise around the origin
∵ C' = (-5, 2)
→ By using the 3rd rule above
∵ The image of the point (x, y) is (-y, x)
∴ (-y, x) = (-5, 2)
→ That means -y = -5 and x = 2
∴ x = 2
∴ -y = -5
→ Divide both sides by -1
∴ y = 5
∴ The pre-image C = (2, 5)
Write an equation of the line that passes through the given point and is parallel to
the given line.
10. (14, 3); 2y - x - 8
Answers
Answer:
y = x - 23
Step-by-step explanation:
What is the absolute value of −3.582?
Answers
Answer:
Its 3.582
Step-by-step explanation:
The absolute value is the numbers distance from zero, in other words just the positive version of it :)
(brainliest?)