by the Angle sum property of triangle,
55+75+(-6+7x) = 180
=> 130 +(-6+7x) = 180
=> (-6+7x) = 180-130
=> (-6+7x) = 50
=> 7x = 50+6
=> 7x = 56
=> x= 56/7
=> x = 8
1. What is an example of a quadratic function?
a. Determine the functions minimum or maximum value.
b. Determine the function domain and range.
c. Find the zeros of the function.
2. What is the quadratic formula?
a. When would you use this formula?
3. What is the discriminant?
a. Provide an example.
Answer:
Step-by-step explanation:
1. f(x)= x^2+10x+25
a) (-5,0)
c)x=-5
2. image attached
a) when finding the zeros or roots of the quadratic
3. the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots.
a) b^2-4ac
if tñ=2ñ+3, find S10
Answer:
[tex]S_{10}=280[/tex]
Step-by-step explanation:
Given that,
[tex]t_n=2n+3[/tex] ...(1)
We need to find the value of [tex]S_{10}[/tex].
Put n = 1 to find the first term.
[tex]t_1=2(1)+3=5[/tex]
Put n = 2 to find the second term.
[tex]t_2=2(2)+3=7[/tex]
Put n = 3 to find the third term.
[tex]t_3=2(3)+3=9[/tex]
Put n = 10 to find the tenth term.
[tex]t_{10}=2(10)+3=23[/tex]
It means we need to find the sum of 5,7,9,.....,23.
The formula for the sum of n terms is given by :
[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]
We have, n = 10, a = 5 and [tex]a_n=23[/tex]
So,
[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]
So, the value of [tex]S_{10}[/tex] is equal to 280.
Rewrite the product using the Distributive Property. Then simplify.
1) 2(4 + 7)
2) 3(1/3 - p)
Answer:
[tex]2(4 + 7) = 22[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]
Step-by-step explanation:
Given
1 & 2
Required
Rewrite and simplify
[tex]1.\ 2(4 + 7)[/tex]
Apply distributive property
[tex]2(4 + 7) = 2 * 4 + 2 * 7[/tex]
[tex]2(4 + 7) = 8 + 14[/tex]
[tex]2(4 + 7) = 22[/tex]
[tex]2.\ 3(\frac{1}{3} - p)[/tex]
Apply distributive property
[tex]3(\frac{1}{3} - p) = 3*\frac{1}{3} - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = \frac{3}{3} - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]
27x + 30x - 17x =400 + 80
solve for x show your work
Answer: X = 12
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
27x+30x−17x=400+80
27x+30x+−17x=400+80
(27x+30x+−17x)=(400+80)(Combine Like Terms)
40x=480
40x=480
Step 2: Divide both sides by 40.
40x
40
=
480
40
x=12
Answer:
x=12
Answer:
A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 cups of flour. How much flour would you use if you only had 1 cup of chocolate chips?
Answer:
you would use 1.5 cups of flour
Test your knowledge of lines with the following:
If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?
Answer:
About 3
Step-by-step explanation:
Step-by-step explanation:
10 men =4 days
8 men =x days
cross multiply
10×x=8×4=24
Harriet buys lunch at school every day. She always gets
pizza when it is available. The cafeteria has pizza about 80% of the time.
Harriet runs a simulation to model this using a random
number generator. She assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation.
Group number
Random digits
1: 19223
2: 73676
3: 45467
4: 52711
5: 95592
Group number
Random digits
6: 68417
7: 82739
8: 60940
9: 36009
10: 38448
What is the estimated probability that Harriet will eat pizza for lunch
every day next week?
A. 7/10 = 70%
B. 4/10 = 40%
C. 5/10 = 50%
D. 0/10 = 0%
The estimated probability that Harriet will eat pizza for lunch every day next week is 5/10 = 50%
How to determine the probability?The simulation is represented as:
0 and 1 represents when pizza is not available2 to 9 represents when pizza is availableThe above means that the simulation that represents when she eats pizza for lunch must have all its digits to be from 2 to 9.
The results that represent eating pizza for lunch are:
73676 45467 95592 82739 38448
The count of the result is 5.
Hence, the probability is 5/10 = 50%
Read more about probabiity at:
https://brainly.com/question/251701
#SPJ2
If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.
Answer:
The answer is "3107.75".
Step-by-step explanation:
[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]
[tex]\to p(t)= 2500 (1.022)^t[/tex]
when t= 0
[tex]\to p(0) = 2500(1.022)^0[/tex]
[tex]= 2500 \times 1\\\\= \$ 2500[/tex]
When t=10
[tex]\to p(10)=2500(1.022)^{10}[/tex]
[tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]
-8, 1, 10...
n
What is a formula for the ninth term of the given sequence
9514 1404 393
Answer:
a9 = -8 +9(9 -1)
Step-by-step explanation:
The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . first term a1, common difference d
For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...
an = -8 +9(n -1) . . . . formula for the n-th term
__
Then the formula for the 9th term is ...
a9 = -8 +9(9 -1)
What is the constant of proportionality in this table?
Answer:
k = 10
Step-by-step explanation:
X progresses by 25, while y progresses by 250.
So divide 250 ÷ 15 and your answer is 10.
I’ll give brainly
Find m GPQ
Answer:
130 degrees
Step-by-step explanation:
All you have to do is add the measure of angle R and angle Q, which are 35 and 95. 35 + 95 = 130 degrees
please answer asap!!!!
=======================================================
Explanation:
VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX
UY = 2*(VX)
s = 2*(s-37)
s = 2s - 74
s-2s = -74
-s = -74
s = 74
This makes UY be 74 units long
So VX = (1/2)*UY = 0.5*74 = 37
Answer:
37
Step-by-step explanation:
The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base). So VX is 1/2 of UY. So:
2(s-37)=s
2s-74=s
s=74
VX= 37
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
so over alll I got 1800
Step-by-step explanation:
for number 1
How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?
Answer:
5
Step-by-step explanation:
i anserwed it on the test
Let p represent "He is able" and let q represent "He will win." Translate Translate p- into a verbal sentence.
Answer:
He will is able win
Step-by-step explanation:
Answer:
he is able to win
Step-by-step explanation:
1.
Write the ratio 2:6 in its simplest form.
Answer:
1:3
Step-by-step explanation:
2:6 common multiple is 2 so 2:6 divide by 2 is 1:3
Answer:
1:3
Step-by-step explanation:
this is the answer understand
Can someone help me with the work please I did it I want to make sure it great please someone look at it please
Answer:
whar that so easy
Step-by-step explanation:
yes is all correct I just check it but check it on a calculator too
Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?
Answer:
-
Step-by-step explanation:
help plz///////...............
\
Answer:
3/4
Step-by-step explanation:
any thing in the form of y=mx+x,
mx is the slope
Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt
Answer:
it would be 3
Step-by-step explanation:
Answer:
21.25 for one shirt so it 75 in all if you add all the shirts
my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)
HELP ME PLS WALLAH THIS IS HARD
Answer:
42
Step-by-step explanation:
use the Pythagorean theorem :D
Answer:
[tex] \underline{\boxed{x = 42}}[/tex]
Step-by-step explanation:
[tex] {70}^{2} = {x}^{2} + {56}^{2} \\ {x}^{2} = {70}^{2} - {56}^{2} \\ x = \sqrt{( {70}^{2} - {56}^{2} )} \\x = \sqrt{(4,900 -3,136) } \\ x = \sqrt{1,764} \\ x = 42[/tex]
I will give brainliest please help
Answer:
2.5
Step-by-step explanation:
[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]
1
Write and evaluate an expression for the problem.
You receive $8 for raking leaves for 2 hours. What is your hourly wage and what
expression would show what the problem states.
8 = 2 : $4 per hour
8 – 2 $6 per hour
8 X 2 $16 per hour
Answer:
4 per hour
8/2=4
Step-by-step explanation:
Answer:
Given : You receive $8 for raking leaves for 2 hours.
Expression : An expression is___ An hourly wage is $___
To find : What is your hourly wage? Write and evaluate an expression for the problem.
Solution :
For 2 hours the wage is $8.
For 1 hour the wage is
The expression defined the problem is
An hourly wage is given by $4.
Therefore,
An expression is . An hourly wage is $4.
Solve -2a - 5 > 3
Which graph shows solutions
I-Ready diagnostic
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2a-5>3 Equation/Question
Step 2
-2a-5>3 Simplify
-2a-5>3
Step 3
-2a-5>3 Divide
answer
a<-4
Hope this helps
Solve for x.
3(3x+3)-5x-4= 25
Answer:
3(3x + 3) - 5x - 4 = 25
9x + 9 - 5x - 4 = 25
9x - 5x - 4 = 16
4x - 4 = 16
4x = 20
x = 5
Solve by completing the square
x^2 + 10x - 17 = 22
Base 72; percentage 12
Answer:
16.67
Step-by-step explanation:
12 is what percent of 72? = 16.67
Answer:
exactly. 16.67
is the answer its process is simple suppose x
Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical
Answer:
[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]
and,
[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]