Answer:
f(x) = 0 on x= -1 and x = -2
Step-by-step explanation:
Given function is:
[tex]f(x) = x^2+3x+2[/tex]
In order to find the value of x on which the function will have value zero we have to factorize the function and find zeroes of the function. The method used will be factorization of polynomial as the function is in polynomial form.
So,
[tex]x^2+3x+2\\=x^2+2x+x+2\\=x(x+2)+1(x+2)\\=(x+1)(x+2)[/tex]
To find the zeroes, putting the function = 0
[tex]f(x) = 0\\(x+1)(x+2) = 0\\x+1 = 0\\x = -1\\x+2 = 0\\x= -2[/tex]
Hence,
f(x) = 0 on x= -1 and x = -2
Barry and Evelyn know they want a 15 year mortgage for their new home purchase. They are planning to borrow $160,000. Two local lending institutions have similar offers. Loan A is offering a 3% annual interest rate leading to a monthly payment of $1104.93. Loan B is offering a 4% annual interest rate leading to a monthly payment of $1183.50.
Answer:
Loan A: $198887.40
Loan B: $213030
Step-by-step explanation:
To find the total payback use the equation:
P x 12 x t
P= monthly payment
t= time in years
Loan A: 1104.93 x 12 x 15= $198887.40
Loan B:1183.50 x 12 x 15= $213030
Hope this helps :)
PLEASEEE SOMONEE HELP ASAP!!
If the pattern shown continues how many black keys appear on a keyboard with 35 white keys ?
Answer:
25 black keys
Step-by-step explanation:
Let the number of requires black keys = 'x'
White key : Black keys = 7 : 5
7 : 5 :: 35 : x
Product of extremes = product of means
7 *x = 35 * 5
x = [tex]\frac{35*5}{7}[/tex]
x = 5 *5
x = 25
If a data set is negatively skewed, which would be the best measure of spread? Select one:
Interquartile Range
Standard Deviation
Range
Answer:
Not real sure, but it should be Standard Deviation, if a data set is negatively skewed it would need a good measure for data spread.
In ∆DEF, if m∠E is one more than three times m∠F and m∠D is three more than seven times m∠F, find the m∠D.
Answer: mD=115, mE=49, mF=16
Step-by-step explanation:
DEF is a triangle and were told to find angle measures.
If m∠E is (3F+1) and m∠D is (7F+3)
Use T-angle sum theorem and plug previous terms 7F+3+3F+1+F=180 which give F=16. Then substitute F=16 with angles D and E to find last results.
The measure of m∠D is 115 degrees
In the given triangle ∆DEF, if m∠E is one more than three times m∠F, hence;
m∠E = 3m∠F + 1
Similarly, if m∠D is three more than seven times m∠F, then;
m∠D = 7m∠F + 3
Taking the sum of the angles and equate it to 180 degrees
m∠D + m∠E + m∠F = 180
7m∠F + 3 + 3m∠F + 1 + m∠F = 180
11m∠F + 4 = 180
11m∠F = 180-4
11m∠F = 176
m∠F = 16
Since m∠D = 7m∠F + 3
m∠D = 7(16) + 3
m∠D = 115 degrees
Hence the measure of m∠D is 115 degrees
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what number is 0.79 more than 0.97
Answer:
1.76
Step-by-step explanation:
0.79 + 0.97
The number 1.76 is 0.79 more than 0.97.
What are numbers?A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.
Given what number is 0.79 more than 0.97,
Let the number be x,
x = 0.79 + 0.97
x = 1.76
Hence, the number 1.76 is 0.79 more than 0.97.
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The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food?
O $2.20
O $2.50
O $2.00
O $2.25
Answer:
$2.25
Step-by-step explanation:
To find the cost per pound you have to divide $54 by 24.
Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.
Answer:
1,3
Step-by-step explanation:
E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
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Sasha traveled 200 miles in 4.5 hours at this rate how many miles can you travel in 10 hours round your final answer to the nearest mile
Answer:
844miles
Step-by-step explanation:
its 844 miles
12x64, 7th grade math
Answer:
768
Step-by-step explanation:
Answer:768
Step-by-step explanation:
Please help. I’m confused and dumb-
Show a numerical expression of 1/3 of 11/16
Answer:
11/48 = 0.02083
I'm pretty sure-
what is the opposite of the opposite of -1.4?
Answer: -1.4
The opposite of -1.4 is 1.4; you flip from negative to positive.
Then taking the opposite of 1.4 gets us back to -1.4 again
Effectively the two opposites cancel out and nothing changes.
Answer:
-1.4
Step-by-step explanation:
because if it says the opposite then
it goes like this
opposite one time = positive 1.4
then do the opposite of a positive = -1.4
HELP ME I WILL GIVE BRAINLIEST California has a population of approximately 4 × 10^7 people and South Dakota has a population of approximately 8 × 10^5 people.
Answer:
40000000 800000
Step-by-step explanation:
whats the question here?
Answer:
California has a population of 40,000,000
South Dakota has a population of 800,000
Step-by-step explanation:
Not sure exactly what the question is
Find the slope. (4,2) (7, 6.5)
Answer:
B.
Step-by-step explanation:
m=y2-y1/x2-x1
6.5-2=4.5
7-4=3
4.5/3=1.5
the slope is 1.5
hope this helps :3
if it did pls mark brainliest
just need the answer
Answer:
the pic is black send another one
The diameters the dart board is 34 centimeters. What is the approximate circumference?
Answer:
106.81
Step-by-step explanation:
c=2pi r and radius is 1/2 of diameter
please rate my question and make it 5 stars ! thx! have a great day!
Answer:
Approximately 107 when rounded to the nearest whole number
see below for more accurate answer
Step-by-step explanation:
First, we pull out our formula.
C is circumference, D is diameter.
[tex]C=2\pi r\\D=2r\\C=\pi D[/tex]
We now insert 34 for D.
[tex]C=34\pi \\[/tex]
Pi is 3.141592653589..., so our answer is approximately 106.814150222. You can round this to your desire.
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I- I'm speechless
Do you even have a question-
Answer two questions about Equations A and B:
A. 3(x+2)=18
B. x+2=6
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide only one side by a non-zero constant
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
whatis the reciprocal of the number. 7/8
Answer:
8/7
Step-by-step explanation:
reciprocal is just the same number flipped
Answer:
8/7
Step-by-step explanation:
The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
A box has the following measurements:
Length - 8 cm
Width - 4.2 cm
Height - 3.1 cm
The volume of the box is calculated as length times width times height
Complete the statements to find the box's volume.
1. First multiply length times width. Show your work and explain how you placed the
decimal point
Answer:
33.6
Step-by-step explanation:
length× width
= 8×4.2
8.0
× 4.2
_____
160
+3200
_____
3360
______
Here, in the question it is 8×4.2. We kept .0 to 8. That is 8.0×4.2. Here, we have two decimal points. So we should keep the two decimal points in the answer. Then, the answer is 33.6
HELP ASAPPP
What is 60% of 40?
Answer:
The answer is 24
Step-by-step explanation:
Find the coordinates of the intersection of the graph of the line y=2x−6 with coordinate axes.
Find the x and y intercept
Please help it's due in 5 minutes
Answer:
x-intercept = 3
y-intercept = - 6
Step-by-step explanation:
The intersection of the line with the x-axis is known as the x-intercept and it's calculated by making y = 0.
Also, the intersection of the line with the y-axis is known as the y-intercept and it's calculated by making x = 0.
Given the following data;
Equation of straight line is [tex]y = 2x - 6[/tex]
To find the intersection;
When y = 0, the equation crosses the x-axis.
y = 0;
Substituting into the equation, we have;
0 = 2x - 6
2x = 6
x = 6/2 = 3
x = 3
(x, y) = (3, 0) on the x-axis.
When x = 0, the equation crosses the y-axis.
x = 0;
Substituting into the equation, we have;
y = 2(0) - 6
y = 0 - 6
y = -6.
(x, y) = (0, -6) on the y-axis.
Therefore, the coordinates of the intersection of the graph is (3, 0) and (0, -6).
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation Ï =20 . Find the probability that a randomly selected adult has an IQ between 85 and 125 .
Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
y X
0 -1
1 3
2 7
3 11
4 15
Which equation matches the function described in the table?
A)
y = 4x
B)
y = x-1
y = x+ 5
D)
y = 4x - 1
Answer:
D) y=4x-1
Step-by-step explanation:
Answer:
D) y=4x-1
Step-by-step explanation:
Each y-value in the table is 1 less than 4 times the corresponding x-value.
Which of the following statements best describes the value of the expression 12x + 2 when x = 9?
A. The result is a fraction.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps
Answer:
C
Step-by-step explanation:
12 x 9 = 108 + 2 = 110. 110 / 2 = 55 and 55 is a composite number.
A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length
Answer:
18
Step-by-step explanation:
The formula for area is a=lw
So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.
- What is the equation and the slope of the line shown on the grid?
Answer:Undefined
Step-by-step explanation: The line is going straight so it makes it undefined
Please answer this question! as fast as possible please anyone help
the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be
y=3x+-3