t<-4
Mariana only wears her coat when it is colder than -4 so t must be less than -4.
Answer: t < -4
Step-by-step explanation:
We want to represent temperatures colder than -4 C
In mathematical terms, we want to represent temperatures less than -4 C
t < -4
Each product is in the form ax2 + bx + c. Which of the following describes the relationship between b and c?
a.) c is 1.5 times that of b.
b.)c is double b.
c.) c is the square of half of b.
d.)c is the square of b.
Answer:
The correct answer is c. c is the square of half of b.
Step-by-step explanation:
In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.
(x + 4)^2
(x + 4)(x + 4)
x^2 + 4x + 4x + 16
x^2 + 8x + 16
You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.
Answer:
C
Step-by-step explanation:
c is the square of half of b.
Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. If the reception hall charges a $90 cleanup fee plus $31 per person, find the greatest number of people that they may invite and still stay within their budget.
To determine the greatest number of people Oscar and Julie can invite within their budget, we can set up an inequality and solve for the variable 'x'. The total cost equation is $90 + $31x ≤ $2,000. Solving this inequality, we find that the greatest number of people they can invite is 61.
Explanation:To determine the greatest number of people that Oscar and Julie may invite and still stay within their budget, we need to set up an inequality based on the given information. Let's denote the number of people they invite as 'x'. The total cost of the reception hall is $90 (cleanup fee) + $31 (per person) * x (number of people). This should be less than or equal to their budget of $2,000. So, the inequality is 90 + 31x ≤ 2000. To solve for 'x', we need to isolate the variable. Subtracting 90 from both sides, we have 31x ≤ 1910. Dividing both sides by 31, we find x ≤ 61.935. Since we can't have a fraction of a person, the greatest number of people they can invite is 61.
Kayla want to build a fence around her backyard for her dogs to play in. Her backyard is squared and has an area of 24 m²
4 * √24
with √24 you find a side, per 4 and you have the perimeter of the square
4 * √24
4* 4.9=
19.6
8=- 1/4T
its a 1 step equation but not sure what to do
Answer: T = -32
Step-by-step explanation:
isolate T by multiplying both sides by -4 (the reciprocal of -1/4)
[tex]8 = -\frac{1}{4}T[/tex]
[tex](-4)8 = -(-4)\frac{1}{4}T[/tex]
-32 = T
10 points!
Find the domain and range.
The domain is the first x of each ordered pair. The domain is 1, -30, -12, -11
The range is the y value : -27,30,21,4
how is the composition of function related to the order of operations
Solution:- Let f and g be the functions such that
[tex]f:X\rightarrow Y\\and\\ g:Y\rightarrow Z[/tex]
can be used to form a function which maps x in X to [tex]g(f(x))[/tex] in Z.
If z is a function of y, and y is a function of x, then z is a function of x. (transitive property)
Hence the composite function is given by
[tex]g of : X\rightarrow Z[/tex] , defined by [tex](gof)(x)=( g(f(x)) x)[/tex] for x in X.
Now , for the function g(x) into the function for f(x), we have to work from the inside out by substituting the expression. So by this way composition of function related to order of operations.
Someone help yaaa girl out!!! Fr need help ASAP.
z=24 degrees. To explain, you can solve for x by making the equation 2x+48=180 since 180 degrees is the angle of a straight line. Once you solve for x, you add that number to 90. Finally, subtract that number from 180 to get z. You subtract from 180 because a triangle's total angle sum is always 180
Y = 42
hope this helps
Plz help! ASAP! I will make you the brainliest! Thanks!
This is an example of the Associative Property of addition.
Ian wants to run 412 miles to get ready for his upcoming race.
He has set up 3 markers the same distance apart to show how far he has run.
How far apart are the markers?
Drag and drop the correct answer to complete the statement.
Answer:
137.3 miles apart from each other
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
i jus did the quiz and got 100% . your welcome
The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5)
What is the value of A?
What is the value of B?
The values of A and B of the given equation with the given coordinates are; A = 5 and B = -4
We are told the equation is;
Ax + By = 10
Since the equation goes through (6,5) and (-2,-5), then it means we have two simultaneous equations as;
6A + 5B = 10 ----(eq 1)
-2A - 5B = 10 ----(eq 2)
Add eq 1 to eq 2 to obtain;
4A = 20
A = 20/4
A = 5
Now, put 5 for A in eq 1 to get;
6(5) + 5B = 10
30 + 5B = 10
-5B = 30 - 10
-5B = 20
B = -20/5
B = -4
Thus, in conclusion, the values of A and B are 5 and -4 respectively.
Read more at; https://brainly.com/question/18846487
Values of A and B in the equation Ax+By=10, that pass through points (6,5) and (-2,-5), can be calculated by plugging these points into the equation, resulting in two simultaneous equations. On solving them, you find that A = 1 and B = -1.
Explanation:In order to determine the values of A and B in the equation Ax+By=10 that passes through the points (6,5) and (-2,-5), first we plug these points into the equation. This will result in two simultaneous equations.
For the point (6,5), the equation becomes 6A + 5B = 10. For the point (-2,-5), the equation becomes -2A - 5B = 10. Solving these two simultaneous equations, you will obtain A = 1 and B = -1.
Learn more about Simultaneous Equations here:https://brainly.com/question/30319215
#SPJ3
what is 0.4to the power of 6
0.4^6 is 0.004096
hope it helps
0.4 to the sixth power = 0.004096
Solve for x: 3|x − 3| + 2 = 14 (5 points)
x = 0, x = 7
x = −1, x = 7
No solutions
x = −1, x = 8.3
[tex]Solution, solve\:for\:x,\:3\left|x-3\right|+2=14\quad :\quad x=-1\quad \mathrm{or}\quad \:x=7[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}, 3\left|x-3\right|+2-2=14-2[/tex]
[tex]\mathrm{Simplify}, 3\left|x-3\right|=12[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3\left|x-3\right|}{3}=\frac{12}{3}[/tex]
[tex]\mathrm{Simplify}, \left|x-3\right|=4[/tex]
[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, x-3=-4\quad \quad \mathrm{or}\quad \:\quad \:x-3=4[/tex]
[tex]x-3=-4\quad :\quad x=-1[/tex]
[tex]x-3=4\quad :\quad x=7[/tex]
[tex]\mathrm{Combine\:the\:ranges}, x=-1\quad \mathrm{or}\quad \:x=7[/tex]
The correct answer is B. x=-1, x=7
Hope this helps!!!
How can i write this in standard form? (7x^3+2x-1)+(8x^2-6+2x-x^3)
7x^3 +0x^2 + 2x -1
+ -x^3 +8x^2 +2x -6
----------------------------------------
6x^3 +8x^2 +4x -7
standard form is from largest exponent to smallest exponent
What is the LCM between 12,7
Hello there!
You had to find the prime factorization of 12
3*2*2=12
Then you find the prime factorization of 7.
7*1=7
7*3*2*2=84
Answer⇒⇒84
The least common multiple of 12 and 7 is 84.
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
The shipping cost for an on-line company increases exponential based on the number of dollars the consumer has spent. It can be represented by the equation y = 0.003(2)x where x represents every $10 spent. Shipping charges will max out at $20. The company has decided that they need to add a base shipping charge of $5. What will this new function be?
Answer:
[tex]y = 5 + 0.003(2^{x})[/tex]
Step-by-step explanation:
If a base shipping charge of $ 5 is collected, it means that regardless of the amount of money spent, a base payment of $ 5 must be made for the shipment. Therefore the graph of the exponential function must move 5 units up on the positive y axis. Your new cutoff point with the positive y axis will be y = $ 5.003
Therefore, the new function that represents the shipping cost will be:
[tex]y = 5 + 0.003(2^{x})[/tex]
with [tex]x \leq 20[/tex]
Factor 3x2 − 12x − 36 completely.
a) 3(x − 6)(x + 2)
b) (3x + 6)(x − 2)
c) 3(x + 4)(x − 3)
d) (3x − 4)(x + 3)
The answer would be A, 3(x-6)(x+2)
(v 4 - v 3 - 68v 2 - 26v - 94) ÷ (v - 9)
The student's question involves dividing a polynomial by a binomial using algebraic techniques such as long or synthetic division to find the quotient and remainder.
The question presented requires a division of polynomials. Specifically, the student is asked to divide the polynomial [tex](v^4 - v^3 - 68v^2 - 26v - 94)[/tex] by the binomial (v - 9). This problem can be solved using long division or synthetic division, which are techniques used in algebra to divide one polynomial by another. The result of the division will provide a quotient and possibly a remainder if the division is not exact.
what's the least common multiple of 5 and 10
Answer:
5
Step-by-step explanation:
Weight Height
99 61
104 61
110 62
133 64
130 65
142 68
146 66
153 67
184 69
185 70
Use your calculator to find the equation of the regression line.
Write the equation in y=ax+b form. Do not use any spaces. Round a and b to the nearest tenth.
Use the graphing calculator to plot the line y=ax+b for the given data. On the attached diagram you can see green points that are ordered pairs weight-height and black line is regression line.
As you can see a≈0.1 and b≈50.9.
The equation of regression line is y=0.1x+50.9.
Suppose 48 out 120 people like baseball. Of the people who like baseball, 3 out 5 play baseball. If you ask 500 people, how many would you expect to play baseball?
7 - 5p+3q when p=1 and q=7
Answer:
Step-by-step explanation:
Plug in 1 for p, and 7 for q
7 - 5p + 3q
7 - 5(1) + 3(7)
Simplify. First, multiply
5 x 1 = 5, 3 x 7 = 21
7 - 5 + 21 = 2 + 21 = 223
23 is your answer
hope this helps
~Rise Above the Ordinary
At the gym, Jasper was able to bench press 224 pounds, which was 7/8 of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press?
Answer:
Equation is
[tex]224=\frac{7}{8}x[/tex]
Step-by-step explanation:
At the gym, Jasper was able to bench press 224 pounds, which was 7/8 of the weight that Balin was able to bench press.
Let x be the weight that Balin could bench press.
We have
[tex]224=\frac{7}{8}x\\\\x=\frac{8\times 224}{7}=256[/tex]
That is
x = 256
Equation is
[tex]224=\frac{7}{8}x[/tex]
Answer: B
Step-by-step explanation:
A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?
Answer:Your Answer of the probability would determindedly be 3/25.
Step-by-step explanation:
What is the algebraic expression for the following word phrase: the quotient of y and 6
A quotient is the answer that results from a number being divided by another number. In other words, it is the answer to a division problem. So, the quotient of y and 6 means that y is being divided by 6. Algebraically, you write this as y ÷ 6, or [tex]\frac{y}{6}[/tex]
A olympic runner set a récord for the 100m dash. The time was sixsty-two hundred seconds.How Would you write this as a number
sixty-two hundred= This would be 6200.
Three friends all have same ages that are consecutive integers. The sum of their ages is 180. What is the age of the oldest friend?
a) 61
b) 59
c) 62
d) 60
Answer:
a) 61
The friend's ages are consecutive, therefore they are each one year apart. There are 3 friends whose ages add up to 180 in total.
[tex]180 / 3 = 60[/tex]
In order to make three consecutive numbers, subtract one and add one to 60.
[tex]60 - 1 = 59\\60 + 1 = 61[/tex]
You get 59, 60, and 61.
61 is the oldest age, that's your answer.
Can anyone please help me out? I’m so stuck on this one. Thanks in advance.
See the attached picture.
X = 76 degrees.
Abby has
2
4
5
245
lb of potting soil. She needs
2
1
2
212
times that amount for her plants.
How much potting soil does she need?
Abby needs 2940 total and has 245, therefore she needs 2695 lbs
you would do 245x212= 51,940
OR
212x212= 44,944
Hope that helps its one oth those but i want to say its the first one 245x212=51,940
Admission to the circus cost x dollars for an adult and y for a child find the total cost of 6 adults and 4 children
A dog cased a cat up a tree. The cat is 14 feet up the tree. if the dog is standing 3 feet from the tree what is the distance from the cat to the dog ?
Answer:
11 feet
Step-by-step explanation:
14 (cat)
3 (dog)
14 - 3 = 11