Answers
let me know if it’s correct!
Related Questions
Y=-x^2-12x-37 find the 1) Roots 2) Factors 3) Vertex (x,y) 4) Interception with 'Y" axis 5) Axis of Symmetry 6)Direction of Opening 7)Max / Min ? Coordinates 8)Sketch 9) Domain 10) Range
Answers
Answer:
1) The roots of the equation Y = -x² - 12·x - 37 are x = -6 - √73 and -6 + √73
2) The factors of the function Y = -x² - 12·x - 37 are (x + (-6 - √73)) and (x - (-6 + √73))
3) The vertex is (-6, -1)
4) The Y-intercept is (0, -37)
5) The axis of symmetry is x = -6
6) The parabola opens downward
7) The maximum point is (-6, -1)
8) The graph of the function created with Microsoft Excel is attached
9) The domain of the function is -∞ < x < ∞
10) The range of the function is -∞ < Y ≤ -1
Step-by-step explanation:
The given function is Y = -x² - 12·x - 37
1) The roots of the equation Y = -x² - 12·x - 37 is given as follows;
0 = -x² - 12·x - 37
∴ -x² - 12·x - 37 = 0
The roots are;
x = (12 ± √((-12)² - 4 × 1 × (-37)))/(-2)
∴ x = -6 - √73 and -6 + √73
2) The factors are (x + (-6 - √73)) and (x - (-6 + √73))
3) The vertex is given by h = -b/(2·a) = 12/(2) = -6
k = c - b²/(4·a) = -37 - 144/(-4) = -1
The vertex = (h, k) = (-6, -1)
4) The intercept with the "Y" axis is given when x = 0, therefore, the y-intercept is (0, -37)
5) The axis of symmetry can be found at the vertex or the line x = -6
6) The sign of the coefficient of x² is negative therefore, the parabola opens downward
7) The maximum point is given as follows;
At the maximum point, dY/dx = d(-x² - 12·x - 37)/dx = -2·x - 12 = 0
x = 12/(-2) = -6, which is the vertex, therefore Y = -(-6)² - 12×(-6) - 37 = -1
The maximum point is the vertex (-6, -1)
8) Please find attached the graph of the function created with Microsoft Excel
9) The domain of the function is -∞ < x < ∞
10) The range of the function is -∞ < Y ≤ -1
For what value of x can the given lengths
be side lengths of a right triangle?
28, x, 53
Answers
Answer:
45
Step-by-step explanation:
The formula for finding the longest size of a right angle is
[tex]c^{2} = a^{2} + {b}^{2}[/tex]
a = 28, b = ? and c = 53;
Therefore, if you make b the subject of the formula, you will have
[tex]b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]
And after plugging the value of c=53 and a=28, b is gotten to be 45
In a recent survey of favorite sodas 7 students chose coke. If these students represent 17.5% of the students surveyed, how many students were surveyed in all?
Answers
Answer:
40
Step-by-step explanation:
7 = 17.5% × Y
STEP 2 7 =
17.5
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 17.5 we will arrive at:
STEP 3 Y = 7 ×
100
17.5
STEP 4 Y = 7 × 100 ÷ 17.5
STEP 5 Y = 40
Add parentheses to the following equation to make it true.
[tex]12*2-3+4*2=-4[/tex]
Answers
Answer:
[tex]12 * (2 - 3) + (4 * 2)[/tex]
Step-by-step explanation:
Follow PEMDAS for the given answer.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
Reverse solve the answer so that the result is the question.
First, solve the parenthesis:
12 * (2 - 3) + (4 * 2)
12 * (-1) + 8
Next, multiply 12 and -1 together:
12 * -1 = -12
Finally, add:
-12 + 8 = -4
12 * (2 - 3) + (4 * 2) is your answer.
~
[tex]12 \times (2 - 3) + (4 \times 2)[/tex]
Step-by-step explanation:
Add parentheses to the following equation to make it true.
[tex]12 \times 2 - 3 + 4 \times 2 = - 4[/tex]
________________[tex] = 12 \times 2 - 3 + 4 \times 2 = - 4[/tex]
[tex] = 12 \times (2 - 3) + (4 \times 2)[/tex]
[tex] = 12 \times ( - 1) + 8[/tex]
[tex] = - 12 + 8[/tex]
[tex] = - 4[/tex]
A large soup pot holds 20 quarts of soup. What could be its volume in liters? (Note a
liter is slightly larger than a quart)
a. 7.57
b. 19
c. 21
d. 75.7
Answers
Answer:
a
because it is math
simple math
VERY simple math
Jerry started sit-ups every day . The first day he did 15 sit up . Everyday he did 2 more sit ups than he did the previous day today jerry did 33 sit-ups
Answers
Answer:
2x+15=33
Step-by-step explanation:
Computation of the equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day
Based on the information given the EQUATION will be :
2x+15=33
Where,
x represent Jerry Sit up numbers of days excluding the first day
2x represent the additional 2 more sit ups
2x +15 represent the total number of sit up that was done after the first day
2x+15=33 represent the total 33 sit-ups that jerry did today
Therefore the EQUATION that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day will be 2x+15=33
3-7/8
please answer :p
Answers
Answer:
2.125 is your answer!! pls give brainlist (:
Step-by-step explanation:
Consider functions fand g.
f(x) = -13
g(x) = |1/8x-1|
Answers
Answer:
We conclude that
(g o f) (4) = 9
Hence, option C is correct.
Step-by-step explanation:
Given
f(x) = -x³
g(x) = |1/8x - 1|
To determine
(g o f) (4) = ?
Using the formula
(g o f) (4) = g[(f(4)]
first we need to determine f(4)
so substituting x = 4 into f(x) = -x³
f(x) = -x³
f(4) = -(4)³ = -64
so
(g o f) (4) = g[(f(4)] = g(-64)
so substitute x = -64 in g(x) = |1/8x - 1|
[tex]g\left(x\right)=\left|\frac{1}{8}x-1\right|[/tex]
substitute x = -64
[tex]g\left(-64\right)=\left|\frac{1}{8}\left(-64\right)-1\right|[/tex]
[tex]=\left|-\frac{1}{8}\cdot \:64-1\right|[/tex]
[tex]=\left|-8-1\right|[/tex]
[tex]=\left|-9\right|[/tex]
Apply absolute rule: |-a| = a
[tex]=9[/tex]
Therefore, we conclude that
(g o f) (4) = 9
Hence, option C is correct.
Please Help Meh I dont Get this
Answers
2/3 * 3(5-3x)= 29. This will make the equation much easier. The next step is to simplify by cancelling out the 3 in 2/3 with the 3 multiplying 5-3x so it leaves you with 2(5-3x)=29. Then you would remove the parenthesis by using the distributive property and simplifying 2(5-3x) to 10-6x= 29. Then subtract 10 from both sides, which leaves you with -6x = 19. Divide by -6 on both sides and you get x= -19/6. Hope this helps
Bodie purchases a rectangular prism ( a box ) to store his dog food in. The prism is LaTeX: \frac{7}{4}7 4 inches long, LaTeX: \frac{9}{4}9 4 inches wide, and 3 inches in height. Bodie's dog food are these cute little cubes that are each LaTeX: \frac{1}{4}1 4 inches long, wide, and high. If Bodie carefully stacks the dog food into the prism, how many little dog food cubes will fit in the prism?
Answers
Answer:
84dog cubes
Step-by-step explanation:
First we need to get the volume of the rectangular prism and the little cubes
Volume of the prism = base area × height
Volume f the prism = length × width × height
Given
Length = 7/4in
Width = 9/4in
Height = 3in
Volume of the prism = 7/4×9/4×3
Volume of the prism = 63/48
Volume of the prism= 21/16 in³
Volume of the cube = L³
L is the length of one side of the cube
Volume of the cube =(1/4)³
Volume of tje cube = 1/64in³
Number of dog food cubes that will fit in = 21/16÷1/64
= 21/16×64/1
= 21×4
= 84
Hence 84 dog cubes will fit in
Isaiah measured a pencil to be 4.8 inches. The actual measurement is 4 inches. What is Isaiah's percent error?
Answers
Answer:
80%
Step-by-step explanation:
The actual value measurement = 4
Estimated value of the measurement= 4.8
percent error= (Estimated value - actual value) ×100%
= (4.8-4)×100%
=0.8×100%
=80%
Hence, Isaiah's percent error is 80%
Answer:
20%
Step-by-step explanation:
I did this on a test and I got it right trust me
Help (what is the correct answer)?
Answers
Answer:
C
Step-by-step explanation:
Jason and Monica each need to put 1 gallon of water into a pot.Jason has a measuring cup that holds 1 cup.Monica has a measuring cup that holds 1 pint. How many more times does Jason need fill the measuring cup than Monica?
Answers
Answer:
8 more times than
Step-by-step explanation:
We are told in the above question that:
Jason and Monica each need to put 1 gallon of water into a pot.
It is important to note that:
1 liquid gallon = 16 cups
1 liquid gallon = 8 liquid pints
For Jason
Jason has a measuring cup that holds 1 cup.
1 liquid gallon = 16 cups
In order to fill the pot, Jason has to use the cup 16 times
For Monica
Monica has a measuring cup that holds 1 pint.
Monica has to fill the pot using her measuring cup 8 times
How many more times does Jason need fill the measuring cup than Monica?
This is calculated as:
16 times - 8 times
= 8 times
Therefore, Jason needs to fill the measuring cup 8 more times than Monica
points)
Which one of the expressions below is
a monomial?
A. 4x7 -8x2 + 6
B. 2x3y
C. 2x + 5
Answers
Answer:
B
Step-by-step explanation:
A monomial (mono -> one) is an expression with 1 term
A is a trinomial (or polynomial), B is monomial, C is binomial.
Use the graph to answer the question.
y
5
4
3
2+
1
-4 -3 - -
3
4
5
X
N
1
-24
-3
-4+
-5
Which line is perpendicular to the line shown on the graph?
O A. y=-x+2
O y
B. y=-{x-4
oc. y = {x+1
OD. y = kx + 1
Answers
Answer:
C
Step-by-step explanation:
4.1 Warm-Up
Tuesday
Video Example:
Write the algebraic rule that represents the dilation that was applied.
You Try:
Which rule best represents the dilation that has been applied?
(x, y) → (2x, y)
(x, y) → (0.5x, 0.5y)
(x, y) → (2x, 2y)
(x, y) → (2 + x,2 + y)
Wednesday
Video Example:
Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)(0.5x, 0.5y) to create Triangle X’Y’Z’. Which statement is true?
Triangle A’B’C’ is larger than Triangle ABC, because the scale factor is greater than 1
Triangle A’B’C’ is smaller than Triangle ABC, because the scale factor is less than 1
Triangle A’B’C’ is smaller than Triangle ABC, because the scale factor is greater than 1
You Try:
A figure will be dilated on a coordinate grid to create a smaller figure. The figure is dilated using the origin as the center of dilation. Which rule could represent this dilation?
(x, y) (0.5 + x, 0.5+y)
(x, y) (0.5 - x, 0.5-y)
(x, y) (32x, 32y)
(x, y) (23x, 23y)
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete but i would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, rotation, translation and reflection.
Dilation is the enlargement or reduction in the size of a figure.
a) If an point A(x, y) is dilated by a factor k, the new coordinate is A'(kx, ky). From the above options the ones that represent dilation is (x, y) → (0.5x, 0.5y) and (x, y) → (2x, 2y) . If the object is reduced then the correct option is (x, y) → (0.5x, 0.5y) while if the object is enlarged the correct option is (x, y) → (0.5x, 0.5y)
b)Dilation is the enlargement or reduction in the size of a figure by a factor k. If k < 1, then it is a reduction and if k > 1, it is an enlargement.
Since Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)⇒(0.5x, 0.5y) to create Triangle X’Y’Z’, since the factor is less than 1(0.5 < 1), it is a reduction. Hence Triangle X’Y’Z’ is smaller than Triangle XYZ, because the scale factor is less than 1
c) The dilation creates a smaller figure hence the factor of dilation should be less than 1.
Lisa represented the phrase '9 less than a number' with the expression 9-n.
Is her expression correct? Explain why or why not.
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Evaluate the expression for b=5.
4b2
Answers
Step-by-step explanation:
When b = 5,
4b² = 4(5)² = 4 * 5 * 5 = 100.
Answer:
100 is the right answer.
Step-by-step explanation:
Given that b=5
4b² = 4(5)² = 4×25 = 100
What is the solution?
Group of answer choices
(0,-4)
(4,-3)
(0,-1)
(-2,0)
Answers
What is the value of -17 - (-1)?
Answers
Explanation: Since you are subtracting a negative number from -17, you are actually just adding that number to it, and -17 + 1 is -16
Answer: it’s 1
Step-by-step explanation:
A negative num
X<-5
Graphing the inequality
Answers
Answer:
Draw the graph of line x=5 , which would be vertical line passing through (5,0) . Since x is less than but not equal to 5 , make it a dotted line and shade the region to the left.
Step-by-step explanation:
Functions assignment
Y= 2/3x+20
When x=21 what is the function and solution
Answers
Answer:
y = 2/3 (21) + 20 (plug it in and multiply)
y = 14 +20 (add)
y = 34
(21,34)
Step-by-step explanation:
i hope this helps :)
Please help me i don’t know how to find x
Answers
The regular price of an ice cream cone is $1.25 but on Monday it sells for $0.95. Karen and her friends bought 5 ice cream cones on Saturday, 3 on Sunday and 4 on Monday. Calculate the average price they paid for ice cream.
Answers
Answer:
$13.8
Step-by-step explanation:
I did the math
Help plsssssssss. Find X
Answers
Answer: A) 7
hope that helps you. :)
tha answer that you want is 11 because 5×11=55
A tablet computer costs $356. Inez has saved $140 and hopes to save $12 per week until she can purchase a tablet computer. Which equation can be used to find the number of weeks, w, until Inez can purchase the tablet computer?
Answers
Answer:
D
12w + 140 = 356
Step-by-step explanation:
Her goal is to save up 356$. She already has 140$, and wants to save 12$ per week. We're trying to find how many weeks it would take.
You must multiply 12 by the number of weeks, which elimates the first two equations. We're also trying to add together 140 and the 12x because we want the total to ADD to 156.
Hopefully this makes sense, and ask any remaining questions about this in the comments. If you liked my explaination, feel free to give a Brainliest :P
Answer:
12w + 140 = 356
Step-by-step explanation:
give the other guy brainliest
1) Convert 1/3 to a decimal
using long division
Answers
goodmorning, can somebody help me plsss
Answers
Answer: I believe it's c. atoms form molecules
Step-by-step explanation:
because atoms are the smallest unit of matter and when atoms join together they form a larger unit of matter called molecules.
What is the image of the point (-9, 1) after a rotation of 90° counterclockwise about
the origin?
Answers
Answer:
(- 1, - 9 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , so
(- 9, 1 ) → (- 1, - 9 )
The image of the point (-9, 1) after a rotation of 90° counterclockwise about the origin is (1, 9).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
The given coordinate point is (-9, 1).
Rule: (x, y)→(y, -x)
The image of the point (-9, 1) is
(-9, 1)→(1, 9)
Therefore, the image of the point (-9, 1) after a rotation of 90° counterclockwise about the origin is (1, 9).
Learn more about the rotation of 90° counterclockwise here:
brainly.com/question/1571997.
#SPJ2
6 - 2 4/7 = ?
answer asap and correct pls.
Answers
Answer:
24/7
Step-by-step explanation: