Answer:
Step-by-step explanation:
1.Consider the quadratic relation y = x^2 – 6x – 16.
a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).
[y = x^2 – 6x – 16 : Two numbers when multiplied = -16, but when added = -6, would be: -8 and 2. [-8+2 = -6, and -8*2 = -16] This would lead to (x+2)(x-8) as the two factors.
b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.
(x+2)=0; x= -2
(x-8)=0; x = 8
2. Consider the quadratic relation y = 2x^2 + 6x – 80.
a) Factor this equation by:
1. Determining the greatest common factor (GCF).
The GCF is 2: 2*(x^2 + 3x - 40)
2. Factoring the equation using common factoring.
2*(x^2 + 3x - 40): Two numbers that when multiplied = -40, but added = 3, would be 8 and -5. So we can factor:
2*(x + 8)(x - 5)
3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).
2*(x + 8)(x - 5)
b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.
0 = (x + 8) and 0=(x - 5); x = -8, and x=5
I NEED HELP FAST! WHOEVER GETS RIGHT GETS BRAINLY Explain how to evaluate the expression 4x+10 for x=5.
z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =
Answer:
z = 4/3 or 1 1/3
Step-by-step explanation:
z−4/9−1/3=5/9
Change 1/3 to have a denominator of 9
1/3 *3/3 = 3/9
z−4/9−3/9=5/9
Combine like terms
z -7/9 = 5/9
Add 7/9 to each side
z-7/9+7/9 = 5/9+7/9
z = 12/9
z=4/3
or as a mixed number
z = 1 1/3
What is the solution to the following equation?
5x+7X = 60
A. X = 12
B. X = 15
C. = 5
D. X-2
Answer:
c 5
Step-by-step explanation:
just do a c e g and i
Answer:
A, 1.57
C.0.971
E.88.3
G.3.28
I.72.9
Answer:
a) 0.47÷0.3 =1.567
c)0.068÷0.07 =0.971
e)0.53÷0.006=88.333
g)3.61÷1.1=3.282
I)6.56÷0.09=73.889
i don't understand this question somebody help
Answer:
Explanation is in a file
if f(x)=3x-15 and g(x)=2x+11; find f(g(2))
Answer:
f(g(2)) = 30
Step-by-step explanation:
Evaluate g(2) , then substitute the value obtained into f(x)
g(2) = 2(2) + 11 = 4 + 11 = 15 , then
f(15) = 3(15) - 15 = 45 - 15 = 30
Step-by-step explanation:
[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]
f(g(2)) = 30 is the right answer.For how many values of x is the function _____ discontinuous?
Answer:
Step-by-step explanation:
2 values
x^2-1=0
x^2=1
x=±1
thes are the two values for which the function is discontinuous.
Multiple Choice Find the mean: 12, 8, 7, 10, 8, 8, 10
Answer:
The mean is 9
Step-by-step explanation:
To find the mean, all you do is add up all the numbers and then divide by how many numbers there are. In this case, adding all then numbers up gives you 63, and there are a total of 7 numbers. 63 divided by 7 =9
The fraction mode below shows the steps a student performed to find a quotient. Which statement best interprets the quotient
Answer: i belive its C
Step-by-step explanation: May i have brainiest
During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5). The variance of the temperatures of the ten day period A. is negative since all the numbers are negative B. must be at least zero C. can not be computed since all the numbers are negative D. can be either negative or positive
Using the variance concept, it is found that the correct option is:
B. must be at least zero
The mean of a data-set is the sum of all observations divided by the number of observations.The variance of a data-set is the sum of the differences squared between each term and the mean, divided by the number of values.Since the variance is squared, it's minimum value is 0, and thus, the correct option is:
B. must be at least zero
A similar problem is given at https://brainly.com/question/14946088
B.
E.
20 cm
7 cm
11 cm
-
Find volume
Step-by-step explanation:
The volume of cylinder = [tex]\pi r^{2}h[/tex]
The radius of cylinder = 20 ÷ 2 = 10
The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]
= [tex](22)(100)[/tex] = 2200
please give me a brainliest answer
Answer:
Volume of cylinder = 2,198 cmSolution:
volume of a cylinder = area of base(pi × radius²) × altitude (height)
Volume = πr² × altitude
V = 3.14 × 10² × 7
V = 3.14 × 100 × 7
V = 314 × 7
V = 2,198 cm
please help i need help
Answer:
fractions
d
its right answer
Answer:
The answer to your question is D Fractions
Step-by-step explanation:
Fractions and decimals are two different ways to represent parts of a whole number.
I hope this helps!
Find the next three terms of the arithmetic sequence.
-14, -19, -24, . . .
Answer:
-29, -34, -39
Step-by-step explanation:
the numbers are going down by five each time.
-24-5=-29
-29-5=-34
-34-5=-39
Hope this helps!
Answer:
-29
Step-by-step explanation:
because -14 and -19 is minus 5
i dont understand this
Answer:
18°
Step-by-step explanation:
1. ∠A and ∠B are complementary angles, so they add up to 90°.
This means that 2x - 4 + 5x + 17 = 902. To find the measure of ∠A, we first have to solve for x.
3. (Solving)
Step 1: Simplify both sides of the equation.
[tex](2x+5x)+(-4+17)=90[/tex] [tex]7x+13 = 90[/tex]Step 2: Subtract 13 from both sides.
[tex]7x + 13 - 13 = 90 - 13[/tex] [tex]7x = 77[/tex]Step 3: Divide both sides by 7.
[tex]\frac{7x}{7} = \frac{77}{7}[/tex] [tex]x = 11[/tex]4. Now that we know x = 11, let's plug that value into (2x - 4) to find the measure of Angle A.
[tex]2(11)-4[/tex] [tex]22-4[/tex] [tex]18[/tex]Therefore, the measure of ∠A = 18°.
Answer:
m<A = 18
Step-by-step explanation:
Since <A and <B are complementary angles, that just means those 2 angles combined equal 90:
<A + <B = 90
2x - 4 + 5x + 17 = 90
7x + 13 = 90
7x = 90 - 13
7x = 77
x = 77/7
x = 11
m<A:
2x - 4
2(11) - 4
22 - 4
18
Pls help with these questions!!!
Answer:
[tex]9 \times 9 - 3 = 81 - 3 = 78[/tex]
2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?
Answer:
shop b
Step-by-step explanation:
how do you solve n - 8 > 5
Answer:
n great than 13.
hope this isn't wrong
The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.
Given is an inequality n - 8 > 5, we need to solve it,
To solve the inequality "n - 8 > 5," you can follow these steps:
Step 1: Add 8 to both sides of the inequality to isolate the variable n.
(n - 8) + 8 > 5 + 8
n - 8 + 8 > 13
n > 13
Step 2: Simplify the inequality.
n > 13
Hence the simplified inequality is n > 13.
Learn more about inequality click;
https://brainly.com/question/20383699
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how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction
Answer:
negative direction
Step-by-step explanation:
A negative and a positive make a negative:
1/5 + (-4/5) = 1/5 - 4/5
Hope this helps!
If line AB is congruent to line CD then CD is congruent to AB what property
Solve for B
A=3B+4C
B=?
Answer:
[tex]3b + 4c = a[/tex]
[tex]3b = a - 4c[/tex]
[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4}{3} [/tex]
[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4c}{3} [/tex]
[tex]b = \frac{a}{3} + \frac{ - 4c}{3} [/tex]
[tex]b = \frac{a}{3} - \frac{4c}{3} [/tex]
Step-by-step explanation:
Thanks!!!!!
Which of the following systems of inequalities has no solution?
Answer:
c
Step-by-step explanation:
See the attached graph. There's no overlap between the two individual solution sets.
geometry hw!!! picture is above
Eight identical pens cost $10.80.
a. Write an equation in the given box that represents the total cost, y, in dollars for a pens.
AYUDA porfavor
asdfghjk,l.
Answer:
english please?
Step-by-step explanation:
Answer:
english pls
Step-by-step explanation:
what is
4 divided by 1/5
3 divided by 2/3
3 divided by 3/4
4 divided by 2/5
9 divided by 1/2
7 divided by 1/12
5 divided by 2/6
2 divided by 1/4
Step-by-step explanation:
0.50.9divides very wellAnswer:
1. 4 divided by 1/5 = 20
2. 3 divided by 2/3= 9/2
3. 3 divided by 3/4= 4.5
4. 4 divided by 2/5= 10
5. 9 divided by 1/2= 18
6. 7 divided by 1/12= 84
7. 5 divided by 2/6= 15
8. 2 divided by 1/4= 8
Step-by-step explanation:
i used my fraction calculator
Please help me if u can that would be GREAT Thanks
Answer:
12.5 or 25/2!
Step-by-step explanation:
Multiply the first two as improper fractions then divide it by 2/3!
9×8 break up into expressions
After 3.5 days, the height of the plant is ______
centimeters.
The height of the plant is 6.25 centimeters after _______
days.
Answer: I think this is what the top answer meant. Let me know if I am wrong though!
After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.
Given that a function h = 0.5d + 4 showing the height h of a plant in d days,
So, the equation of the line is:
h = 0.5d + 4
For 3.5 days put d = 3.5,
h = 0.5(3.5) + 4
h = 5.75 cm
To find the number of days after height of the plant is 6.25 centimeters.
Put h = 6.25,
6.25 = 0.5d + 4
2.25 = 0.5d
d = 4.5 days
Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.
Learn more about functions here:
https://brainly.com/question/31062578
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Complete question is attached.
Can you help me find x
8th grade math
Answer:
x=53
Step-by-step explanation:
all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is
180-74=106
106/2= 53
Answer:x=52
180-74=104
104 divided by 2 to get 52
Step-by-step explanation: you would have to divide because both sides are the same size so they would be even. so that is how you would get the answer 52
Help please help me
Answer:Hi
Step-by-step explanation: