Answer:
6Step-by-step explanation:
[tex]4z^2 - 3z - 4\\z =2[/tex]
Substitute 2 for z in the given equation
[tex]4(2)^2 - 3(2) -4\\[/tex]
Follow the PEMDAS order of operations
[tex]\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6[/tex]
Answer:
Step-by-step explanation:
Plug in z = 2 in the expression
4z² - 3z - 4 = 4*2² - 3*2 -4
= 4*4 - 6 - 4
= 16 - 6 - 4
= 10 - 4
= 6
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
M=(-1,-1) ----- Missing part of question
Required
Determine the coordinates of D
Let the coordinates of D be (x₂,y₂)
We'll solve this question using mid point formula;
[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex]C(x_1,y_1) = (2,7)[/tex] and [tex]M(x,y) = (-1,-1)[/tex]
Put these values in the formula
[tex](-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]
By comparison;
[tex]-1 = \frac{2+x_2}{2}[/tex] and [tex]-1 = \frac{7+y_2}{2}[/tex]
[tex]-1 = \frac{2+x_2}{2}[/tex]
Multiply both sides by 2
[tex]-2 = 2 + x_2[/tex]
Subtract 2 from both sides
[tex]-2 -2 = x_2[/tex]
[tex]x_2 = -4[/tex]
[tex]-1 = \frac{7+y_2}{2}[/tex]
Multiply both sides by 2
[tex]-2 = 7 + y_2[/tex]
Subtract 7 from both sides
[tex]-2 - 7 = y_2[/tex]
[tex]y_2 = -9[/tex]
Hence, the coordinates of D is (-4,-9)
In a two-step equation, you should take care of multiplication and division before addition and subtraction.
What is the value of x in the equation −6 + x = −2? (5 points) a 8 b 4 c −4 d −8
Answer: Bippie boppy boo the answer is true!
Step-by-step explanation: It is B! I did the test
If a point (5.2) is rotated counterclockwise 90° about the origin, its image will be point
Answer:
(-5.-2)
Step-by-step explanation:
I hope this helps u
Answer: (-2,5)
Step-by-step explanation:
90 degrees counter clockwise= (x,y)->(-y,x)
I just need the answer thanks. D is 57 ouces if you can't see it
Answer:
c) 20 ounces
Step-by-step explanation:
Cooper will deposit $1,500 into an account that earns 7% simple interest every year. His sister Trinity will deposit $1,800 into an account that earns 6% simple interest every year. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which statement about the balances of Cooper's and Trinity's account at the end of 3 years is true?
Answer:
For Cooper :
Simple interest = $315
The total amount he would have in his account = $1815
For Trinity :
Simple interest = $324
The total amount she would have in her account = $2124
Trinity's interest is higher than Cooper's interest by $9
The total amount of money Trinity would have at the end of 3 years is higher than that of Cooper by $309
Step-by-step explanation:
Simple interest = principal x rate x time
Value = amount deposited + simple interest
For Cooper :
Simple interest = $1,500 x 0.07 x 3 = $315
The total amount he would have in his account = $1,500 + $315 = $1815
For Trinity :
Simple interest = $1800 x 0.06 x 3 = $324
The total amount she would have in her account = $1,800 + $324 = $2124
PLz help 20 POINTS ASAP
Answer:
2, 1, 3, 4
Step-by-step explanation:
For future reference:
Make all the numbers (accept for the second one) into a common form. For example a decimal.
For the first one, it will simplify into 3/2 since both 9 and 4 can be easily rationalized.
The second can't be written as a decimal, but it will easily become the least greatest number.
The third is already a decimal and the fourth could just be divided 5/3 using a calculator.
From there you'll have
1.5, /5, 2.5, and 1.67
Answer:
1: 9/4
2: 5/3
3: 2.5
4. 5
Step-by-step explanation:
the square root of 9/4 is 1.5
5/3 = 1.6
2.5
and the square root of 5 is 2.23
Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? A coordinate plane with 12 distinct points plotted which are not connected. The points are 0 comma negative 20, 1 comma negative 10, 2 comma 0, 3 comma 10, 4 comma 20, 5 comma 30, 6 comma 40, 7 comma 50, 8 comma 25, 9 comma 40, 10 comma 55, and 11 comma 70. Group of answer choices The x-intercept represents the shirts he has to sell before making a profit. Benito increases the price after selling 50 shirts. The y-intercept represents the cost of one T-shirt. The domain of the function is {x | x is a real number greater than or equal to 0}.
Answer:
The correct option is;
The x-intercept represents the shirts he has to sell before making a profit
Step-by-step explanation:
The given data are;
(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)
The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15 for x between 8 and 11;
Therefore;
Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;
m = (20 - 0)/(4 - 2) = 10
The equation of the line is therefore;
y - 20 = 10·(x - 4)
y = 10·x - 40 + 20
y = 10·x - 20
The y-intercept (x = 0) is y = -20
The x-intercept (y = 0) is found as follows;
0 = 10·x - 20
20 = 10·x
10·x = 20
x = 20/10 = 2
Therefore, when x = 2 we have;
Profit = y = 10·x - 20 = 10×2 - 20 = 0
Which can be expressed as, he has to sell more than 2 shirts to make profit
Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.
What is the domain of the
quadratic parent function y=x2?
Answer:
[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
[tex]y=x^2[/tex]
The domain are the set of all possible values for x.
There are no restrictions on the value of x.
The domain is all real numbers.
Jim is twice as old as his sister. If s isthe sister's age, what is the sum of their ages?
Answer:
3s
Step-by-step explanation:
Given:
Jim is twice as old as his sister.
His sister's age is signified by the variable s.
∴ Jim's age is 2s.
You are trying to find the sum of both their ages, or add them together:
2s + s
Simplify. Combine like terms:
2s + s = 3s
3s is the expression you will use to find the sum of their ages.
If the 11th term of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?
Answer:
2
Step-by-step explanation:
Given that:
11th term of a geometric sequence is 32 times larger than the 6th term
The nth term of a geometric sequence is given by:
An = A*r^(n-1)
Where An = the nth term ; r = common ratio and n = term number ; A = first term
The 11th term:
A6 = A*r^(6 - 1) = Ar^5
A11 = 32A6 = 32Ar^5
A11 = Ar^(11 - 1) = Ar^10
Hence,
Ar^10 = 32Ar^5
r^(10 - 5) = 32
r^5 = 2^5
Hence, r = 2
In Vancouver, the high temperature for the day was 6° C. On the same day, the high temperature in Calgary was −3° C. What was the difference in high temperatures between the two cities?
Answer:
9
Step-by-step explanation:
|6|+|-3|=9
If angle ABC measures 35 degrees and angle BAC measures 115 degrees, what’s the angle measure of DCB?
Answer:
30 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 35 and 115 to get 150. Then subtract from 180.
35+115=150
180-150=30
At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?
Answer:
3/20 of more meat is used for a quarter pounder
The quotient of a number and 3 is -8. Find the number.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}[/tex]
Step-by-step explanation:
Let the number be 'x'
[tex] \sf{ \frac{x}{3} = - 8}[/tex]
Apply cross product property
[tex] \dashrightarrow{ \sf{x = - 8 \times 3}}[/tex]
Multiplying positive and negative integers gives a negative integer
[tex] \dashrightarrow{\sf{x = - 24}}[/tex]
Hope I helped!
Best regards! :D
What is 0.57 x 1000?
Answer:
570
Step-by-step explanation:
When we are multiplying anything by 10, we are multiply by the base ten rules.
If that is the case, then when we multiply 0.57 by 1000, we move the decimal place 3 times to the right.
We should get 570 as our answer.
Answer:
570
Step-by-step explanation:
.
7x − 3(x − 1) = 2(2x + 3)
Answer:
no solution
Step-by-step explanation:
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?
Answer: the correct answer is A and D
Step-by-step explanation:
Just answered the question.
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Got it right on edg
-6f + 2s + 3 - 8 use f = 9 and s = 6
Answer:
-47
Step-by-step explanation:
-6(9) + 2(6) + 3 - 8
-54 + 12 + 3 - 8
-42 + 3 - 8
-39 - 8
-47
Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?
Answer:
150 i think
Step-by-step explanation:
If point Cis between points A and B, then AC + CB =
A. BC
B. ABC
C. AB
D. CA
Answer:
C AB
Step-by-step explanation:
When, point C is between points A and B,
Then, AC + CB = AB
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A point C is between points A and B,
Now, When point C is between points A and B,
Then, We get;
⇒ AC + CB = AB
Thus, When, point C is between points A and B,
Then, AC + CB = AB
Option C is true.
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rectangular room is 15 feet long and 12 feet wide.a . How many feet of baseboard are needed to reach around the room? (Ignore door openings.) b . How many one-foot-square tiles are needed to cover the floor
Point G is on line segment FH. Given GH = 8, FH = 3x + 3, and FG = 2x,
determine the numerical length of FG.
Answer:
10
Step-by-step explanation:
what is the value of m in −4(m−26)=−12m
Answer:
M = -13
Step-by-step explanation:
Divide both sides by -4−4.
m−26=3m
Subtract mm from both sides.
−26=3m−m
Simplify 3m - m to 2m.
−26=2m
Divide both sides by 2
− 26/2=m
Simplify 26/2 to 13
-13=m
Switch sides.
m=13
Answer:
-13
Step-by-step explanation:
1. First distribute
2. Then get m on one side by adding 4m to both sides
3. Combine the numbers with the variable m
4. You need to get m by itself so divide both sides of the equation by -16
5. You should get m=-13
1.-4(m-26)=-4m+104 4m+4m+104=-12m
2. 104=-12m-4m
3. 104=-16m
4. 104/-13=-16/-16m
5. -13=m
Which parent functions have no symmetry?
Cubic
Quadratic
Greatest Integer
Square Root
Exponential
Rational
Linear
Absolute Value
Answer:
Square Root, Greatest Integer
Step-by-step explanation:
Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.
In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.
For a Greatest Integer function, with [tex]\lfloor x \rfloor[/tex], if we change the value of x to -x and we floor -x, we get a different value than the original.
Hope this helped!
If EF=2x-8, FG=4x-13 and EG= 27 find the. Value of x
Answer:
[tex]\Huge \boxed{x=8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
E ———— F ———— G
EG = EF + FG
27 = (2x - 8) + (4x - 13)
Combining like terms.
27 = 6x - 21
Adding 21 to both sides.
48 = 6x
Dividing both sides by 6.
8 = x
[tex]\rule[225]{225}{2}[/tex]
The value of the variable x will be 1.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
If EF = 2x - 8, FG = 4x - 13, and EG = 27.
Point F lies on the line segment EG. Then we have
EG = EF + FG
27 = 2x - 8 + 4x - 13
27 = 6x - 21
6 = 6x
x = 1
Then the value of the variable x will be 1.
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slader The logarithmic equation is a nonlinear regression equation of the form ya. The accompanying data are the shoe sizes and heights (in inches) of men. Graphs of the regression line and the logarithmic equation are also provided. Which equation is a better model for the data? Explain.
Answer:
The graphs and the table is missing in the question.
Step-by-step explanation:
The guidelines for interpreting correlation co-efficient r are :
1. Strong correlation 0.7<|r|≤1
2. Moderate correlation 0.4<|r|<0.7
3. Weak correlation 0.2<|r|<0.4
4. No correlation 0≤|r|<0.2
Logarithmic regression
(i). Mean : [tex]$ {\overset{-}{ln}x} = \frac{\sum ln x_i}{n}, \ \ \ {\overset{-}y} = \frac{\sum y_i}{n} $[/tex]
(ii) Trend line : [tex]$ y = A +B \ln x, \ \ B = \frac{S_{xy}}{S_{xx}}, \ \ A={\overset{-}y-B{\overset{-}{\ln x}}}$[/tex]
(iii). Correlation coefficient : [tex]$ r = \frac {S_{xy}}{\sqrt{S_{xx}} \sqrt{S_{yy}}} $[/tex]
[tex]$ S_{xx} = \sum (\ln x_i - {\overset{-}{\ln x}})^2 = \sum (\ln x_i)^2-n. ({\overset{-}{\ln x}})^2$[/tex]
[tex]$ S_{yy} = \sum(y_i - {\overset{-}y})^2 = \sumy_i^2 - n. {\overset{-}y^2}$[/tex]
[tex]$ S_{xy} = \sum(\ln x_i - {\overset{-}{\ln x}})(y_i-{\overset{-}y}) = \sum \ln x_i y_i - n. {\overset{-}{\ln x}}{\overset{-}y} $[/tex]
Now using the technology we can calculate
The equation of the regression curve is y = A + B(lnx)
we get A = 30.72 , B = 17.19
The equation of regression curve is [tex]$ \hat y$[/tex] = 30.72 + 17.19(lnx)
Write the equation for a line in slope-intercept form (y=mx+b) that
is parallel to y = -2x + 3 and passes through the point (-3,5).
Answer:
y = -2x - 1
Step-by-step explanation:
Parallel lines have the same slope, so the slope will also be -2.
Plug this slope and the given point into the equation y = mx + b and solve for b:
y = mx + b
5 = -2(-3) + b
5 = 6 + b
-1 = b
Then, plug this and the slope into the equation:
y = -2x -1 will be the equation
Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Just took the test
Step-by-step explanation:
The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7) and has been graphed.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
The transformation of the given triangle by rule (x, y)→(x−1, y+2) will
result in an increment of all y's values by 2 and a decrement of x's by 1.
(-2,-2) → (-3,0)
(7,3) → (6,5)
(4.5) → (3,7)
Hence "The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7)".
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QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is
Answer:
[tex]PQR = 20[/tex]
Step-by-step explanation:
Given
Bisector: QS
[tex]PQS = 5x[/tex]
[tex]RQS = 2x + 6[/tex]
Required
Determine PQR
Since PQR is bisected to PQS and RQS, we have that
[tex]PQS = RQS[/tex]
Substitute expressions for PQS and RQS
[tex]5x = 2x + 6[/tex]
Collect Like Terms
[tex]5x - 2x = 6[/tex]
[tex]3x = 6[/tex]
Divide both sides by 3
[tex]x = 2[/tex]
Solving for PQR;
[tex]PQR = PQS + RQS[/tex]
[tex]PQR = 5x + 2x + 6[/tex]
[tex]PQR = 7x + 6[/tex]
Substitute 2 for x
[tex]PQR = 7 * 2 + 6[/tex]
[tex]PQR = 14 + 6[/tex]
[tex]PQR = 20[/tex]