What are the x-intercepts of the graph of the function f(x) = x^2 + 4x – 12?
(-6,0). (2.0)
(2. -16). (0, -12)
(-6.0), (2, -16), (2, 0)
(0.-12).(-6, 0), (2, 0)
Answer:
(- 6, 0 ) , (2, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 4x - 12 = 0 ← in standard form
(x + 6)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
Thus the x- intercepts are (- 6, 0 ), (2, 0 )
Starting with the number 10, build a sequence of 5 numbers
Answer:
10, 11, 13, 16, 20
Step-by-step explanation:
Any 4 numbers can be added to the sequence starting with 10. Perhaps you're supposed to use a rule to choose the numbers. For any 4 numbers you might add to the sequence, a rule can be determined.
The rules we usually use are ones that require a constant difference or a constant ratio. The sequence shown above uses the rule that the difference from the previous value is 1 more than the difference between the previous two values.
A discounted amusement park ticket costs $12.95 less than the original price p. The discounted price is $44 what would be the equation: blank= 44
Answer:
29
Step-by-step explanation:
showing what equal it is to it
Do birds And dogs reincarnate
Answer:
no
Step-by-step explanation:
Your family is going to the movies. Your mom bought 5 tickets and spent $51. The tickets for the adults and children sold for $12 and $9, respectively. How many of each kind of ticket were sold? Write one of the equations needed for the system. (must use variables a and c. do not use the space bar when typing answer)
Answer:
adults 2
children 3
Step-by-step explanation:
x + y = 5
12x + 9y = 51
x = 5 - y
12(5 - y) + 9y = 51
60 - 12y + 9y = 51
-3y + 60 = 51
-3y = 51 - 60
-3y = -9
y = -9/-3
y = 3
x = 5 - y
x = 5 - 3
x = 2
Find the perimeter of each polygon created by the coordinates.
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)
Group of answer choices
15.2
14
16.7
The perimeter of each polygon created by the coordinates is 15.2 units
How to find the perimeter of each polygon created by the coordinates?The coordinates are given as:
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)
Calculate the distance between each point using
d = √(x2 - x1)^2+ (y2 - y1)^2
So, we have:
dAB = √(-2 - 3)^2+ (3 - 1)^2 = 5.4
dBC = √(3 + 2)^2+ (1 + 1)^2 = 5.4
dCD = √(-2 + 3)^2+ (-1 - 1)^2 = 2.2
dDA = √(-3 + 2)^2+ (1 - 3)^2 = 2.2
The perimeter is calculated as:
P = 5.4 + 5.4 + 2.2 + 2.2
Evaluate
P = 15.2
Hence, the perimeter of each polygon created by the coordinates is 15.2 units
Read more about perimeter at:
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HELPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
1/10???????????????????????
when you are adding 5+2 what do you get?
Answer:7
Step-by-step explanation:
5+2=7
The measure of an angle is 12° more than twice the measure of its complement. Write and solve and algebraic equation to find the measure of each angle. I need help!
Answer:
∠64° and ∠26°
Step-by-step explanation:
Complementary angles add up to 90° total (two angles).
Lets give variable values to each angle:
x= 12 more than twice the measure of the complement
y= complement
Write an equation equaling to a total of 90:
[tex]x+y=90[/tex]
Write an algebraic expression for the value of x:
[tex]12+2y[/tex]
Insert the value for x into the equation:
[tex]12+2y+y=90[/tex]
Simplify and solve for y:
[tex]12+3y=90\\\\12-12+3y=90-12\\\\3y=78\\\\\frac{3y}{3}=\frac{78}{3}\\\\ y=26[/tex]
The value of y is 26. Insert this value into the original equation and solve for x:
[tex]x+26=90\\\\x+26-26=90-26\\\\x=64[/tex]
The value of x is 64. So, the complemenatry angles are 64° and 26°.
:Done
From the given measure whose angle is 12° more than twice the measure of its complement.
The measure of the two angles is 64° and 26° respectively.
Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves. Hence, the term complementary angles.
Mathematically;
Let the first angle be p and the second angle be q∴
p + q = 90° ( complemntary angles)
If one of the angles is 12 more than twice its complement;
i.e.
Let p = 12
SO, the algebraic equation for the value of p is:
12 + 2q = 90
Replacing the value of q to solve the equation, we have:
12 + 2q + q = 90
12 + 3q = 90
3q = 90 - 12
3q = 78
q = 78/3
q = 26°
From p + q = 90° ( complemntary angles)
Replacing the value of q = 26°, we have:
p + 26° = 90°
p = 90° - 26°
p = 64°
In conclusion, the measure of each angle is 64° and 26°.
Learn more about complementary angles here:
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Simplify this numerical expression: 17 - 5 · 2 + 3
Answer:
10
Step-by-step explanation:
17 -5 times 2 + 3
Step 1:
17 - 10 + 3
Step 2:
7 + 3
Step 3:
10
Answer:
10
Step-by-step explanation:
Equation:
17 - 5 times 2 + 3
First Step:
Multiplying is first in the order of operations so
17 - 10 + 3
Second Step:
Then adding and subtracting are the same so you do the equation left to right
7 + 3
Answer:
Then you just add it
10
How does the graph change from point G to point K?
Answer: D
Step-by-step explanation: sub to my yt clizey
Answer:
(D)
Step-by-step explanation:
Which functions are the same as their inverse functions
Answer:
we need to so the functions
Step-by-step explanation:
Jessica already has 3 flowers in her garden, and she can also grow 1 flower with every seed packet she uses. With 26 seed packets, how many total flowers can Jessica have in her garden?
Answer:
29 seeds total
Step-by-step explanation:
26 (1) + 3 = 29
Draw a figure that could be named ZLMN.
Answer:
hope this is the correct figure for your question
zfgffdhzgdfghdhuifhdSUGhdioghfiSGjDIHjtihgjDPIddh
Answer: :P
adjfdfdjskfabdklnfkbsb;dowafdsbkcbsnbw;abbu;rgsdj;sk
16. Find the values of x and y.
(2y + 5)^.
(5x-17)
(3x – 11°
Answer:
I know it’s 5 days late but yeehaw
Step-by-step explanation:
Order number from least to greatest 25, 3.7, 1 2 , -4, -9 4
Can you find the cube
root of a negative number if so I’d it positive or negative
Step-by-step explanation:
Yes. The cube root of a negative number will be negative.
For example, (-2)^3 = -8. The cube root of -8 is -2.
Answer:
Yes, it would be negative
Step-by-step explanation:
Yes, the cube root of a negative number can be found without using imaginary numbers to represent it.
The cube of a number is that number multiplied by itself 3 times so:
a^3 = a*a*a
if "a" is negative then the cube of "a" will be negative. Hence the cube root of a negative number will be negative.
I keep forgeting this. would someone remind what is 1/2 is in decimal form please?
Answer:
.5
Step-by-step explanation:
Hope this helps.
What value of g makes the equation true? –11 –3 3 11
Answer:
3
Step-by-step explanation:
(x + 7)(x - 4)
= x · x + x · (-4) + 7 · x + 7 · (-4)
= x² - 4x + 7x - 28
= x² + 3x - 28
Hence, g = 3.
Answer:
C. 3
Step-by-step explanation:
Got it right on edge
On a number line, suppose the coordinate of A is 0, and AR = 6. What are the possible coordinates of the midpoint of AR?
The possible coordinates for midpoints of the segment are
?
Answer:
The possible coordinates of the midpoint are 3 and -3
Step-by-step explanation:
The given information are;
The coordinate of the point A on a (horizontal) number line = 0
The length of AR =
The coordinate of the midpoint of AR are given as follows;
Coordinate of the midpoint = Coordinate of A ± (Length of AR)/2 which gives;
The possible coordinates of the midpoint as 0 + 6/2 = 3 or 0 - 6/2 = -3
The possible coordinates of the midpoint are 3 and -3
Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total more than 3.
Answer:
1/2, or 50%
Step-by-step explanation:
1 Dice has 6 possible outcomes, rolled twice equal 12 "different" outcomes, since there are 3 numbers that are 3 or below, and 3 numbers about 3, then the change of getting a number above three is 1 in 2.
0.004 X 100 = 0.004 X 102
a door with width 4.20 m has an arc as shown in diagram .Find: a) radius of the arc B) length of the arc to the nearest cm
Answer:
Ok, we know that the width of the door is 4.20m.
Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.
Then the diameter of the arc is 4.20m
And the radius is defined as half of the diameter, so we have:
radius = 4.20m/2 = 2.10m
And we can write this in cm (because the probelm ask for it)
1m = 100cm
then 2.10m = 2.1*100cm = 210cm
Now, we know that the perimeter of a circle is:
P = 2*pi*r
where pi = 3.14
Then the perimeter (or arc) of half a circle will be half of that:
Arc = (2*pi*r)/2 = pi*r
and r = 210cm, pi = 3.14
Arc = 3.14*210cm = 659.4cm
given: ∠ABD ≅ ∠BDE
prove: ∠CBD ≅ ∠CDB
__ __
BD≅BD - Reflexive Property
why is ∠CBD ≅ ∠CDB?
Answer:
See Explanation
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). One of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In a recent year, the national mean score was 289 and the standard deviation was 37. Assume that these scores are approximately Normally distributed, N(289, 37). How high a score is needed to be in the top 25% of students who take this exam (use technology)?
Answer:
A score of 314 is needed to be in the top 25% of students who take this exam.
Step-by-step explanation:
We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.
Let X = scores of the tests provided by the NAEP
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = national mean score = 289
[tex]\sigma[/tex] = standard deviation = 37
Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;
P(X > x) = 0.25 {where x is the required score}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-289}{37}[/tex] ) = 0.25
P(Z > [tex]\frac{x-289}{37}[/tex] ) = 0.25
In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;
[tex]\frac{x-289}{37}=0.6745[/tex]
[tex]{x-289}=0.6745\times 37[/tex]
x = 289 + 24.96 = 313.96 ≈ 314
Hence, a score of 314 is needed to be in the top 25% of students who take this exam.
need answers asap (-0.5)(-1.2)(-5.222)
Answer:
-3.1332
Step-by-step explanation:
-0.5x-1.2=0.6
0.6x5.222=-3.1332
what is the value of the product {3-2i][3+2i}
Answer:
13
Step-by-step explanation:
Step 1: Write out expression
(3 - 2i)(3 + 2i)
Step 2: FOIL
F - 9
O - 6i
I - -6i
L - -4i²
Step 3: Combine
9 + 6i - 6i - 4i²
Step 4: Combine like terms
9 - 4i²
Step 5: Simplify
i² = -1
9 - 4(-1)
9 + 4
13
Determine how many solutions the equation has. If one solution, state the value of x. 4(x – 3) = 2x + 2x – 6 – 6
Answer:
infinite solutions
Step-by-step explanation:
Given
4(x - 3) = 2x + 2x - 6 - 6 ← distribute left side and simplify
4x - 12 = 4x - 12
Since both sides are equal then the equation has an infinite number of solutions.
Answer:
I S
Step-by-step explanation:
(b) If you put $9050 in the ATM each day, what percent of the days in a month should
you expect to run out of cash?
Answer:
23.33%
Step-by-step explanation:
The computation of the percentage of days in a month for running out of cash is shown below:
Percentage of running out of Cash is
= (Relevant Occurrence of an event ÷ Total number of events) × 100%
where,
The Relevant occurrence of an event is 7 (105,94,101,98,94,96,92)
And, the total number of events is 30 i.e. 30 days
So, the percentage is
= 7 ÷ 30 × 100
= 23.33%