Answer:
x = - 7, x = - 1
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
x² + 8x + 7 = 0
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 7 and + 1 , since
7 × 1 = + 7 and 7 + 1 = + 8 , then
x² + 8x + 7 = 0
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 1 = 0 ⇒ x = - 1
3. The functions f and g are defined by
[tex] f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2[/tex]
[tex]g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4[/tex]
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.
How many solutions can Quadratic functions have?
Answer:
2 solutions
Step-by-step explanation: As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
i am thinking of a number. i will add four and then multiply it by five. the answer will be thirty five. whats the number?
A-2
B-3
C-4
D-5
Answer:
B. 3
Step-by-step explanation:
Let's make an equation for this. Our unknown number is x.
x
We are adding 4.
x + 4
Then multiplying by 5.
(x + 4) • 5
It will equal 35.
(x + 4) • 5 = 35
To solve this, divide both sides by 5.
(x + 4) = 7
Now subtract 4 from both sides.
x = 3
This is your answer.
Check this by plugging it back into our original equation.
(x + 4) • 5 = 35
(3 + 4) • 5 = 35
7 • 5 = 35
35 = 35
Your answer is correct.
Hope this helps!
2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.
Answer:
x = 8
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in the given values of x and y, and solve for k:
y = kx
-8 = k(-2)
4 = k
So, the equation is y = 4x
Using this, plug in 32 as y, and solve for x:
y = 4x
32 = 4x
8 = x
So, x = 8 when y = 32
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.
Which statement is true regarding these data sets?
The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.
The number of members in the Chess Club and the number of members in the Debate Team is the same.
The majority of the members in each club are between 15 and 17 years old.
About 50% of the members of each club are 16 or older.
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
Hallllp!!!! please!!!!!!! I will give brainliest!!!!
A painter is building scaffolding to paint the ceiling of a tall building. Each section of scaffolding is in the shape of a rectangle and measures 8 feet wide by 17 feet long. The painter uses metal piping along the diagonal to secure the scaffolding. Which measurement is closest to the length of the diagonal piping?
Answer:
18.79
Step-by-step explanation:
Given two strings, each extending from a different focus to a common point on an ellipse, what is the relationship
between the two points?
A. They are collinear.
B. They have the same slope.
C. The sum of their lengths is equal to the length of the major axis.
D. The difference of their lengths is equal to the length of the minor axis.
Answer:
It's C
Step-by-step explanation:
Got it correct on Edge
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
Kristen is making accessories for the soccer team. She uses 679.36 inches of fabric on headbands for 40 players and 4 coaches. She also uses 340.40 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each
The vertex form of the equation of a parabola is y = (x+ 3)2 + 53.
What is the standard form of the equation?
Answer:
y = 2x² + 12x + 71
Step-by-step explanation:
Can you answer and explain this to me?
9514 1404 393
Answer:
(a) y^6/x^4
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
[tex]\displaystyle x^{-4}y^6=\frac{1}{x^4}\cdot y^6=\boxed{\frac{y^6}{x^4}}[/tex]
CAN SOMEONE WHO IS GOOD AT MATH HELP PLEESE !! ALSO PLEASE PUT ACTUAL ANWSERS I DONT OPEN SKETCHY FILES ON MY COMPUTER !!
Step-by-step explanation:
THE Question Satisfies For All The Graphasap please help for brain list
If a+b = c which of the following statements is true?
b-c=a
a-c=b
c-a=b
c+b= a
Answer:
c-a=B
Step-by-step explanation:
if A+B=c then you subtract a from c and you get b
Answer:
C. c - a = b
Step-by-step explanation:
a + b = c
There are many ways to rearrange this equation. This can be done through addition and subtraction.
First, let's handle a. a is positive; therefore, we should subtract it.
a + b = c
b = c - a
Next, let's handle b. b is also positive; therefore, we should subtract it.
a + b = c
a = c - b
Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.
From our options, we can see that we have produced: b = c - a
This is an option, which has been written as c - a = b.
Therefore, your answer is C. c - a = b
Hope this helps!
| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.
Answer:
750 ft
Step-by-step explanation:
Wyatt buys a one-quart bottle of juice for $4.80. How many fluid ounces of juice did Wyatt buy?
Answer:
Step-by-step explanation:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate =
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
Answer:
Wyatt bought 32 fluid ounces.
Step-by-step explanation:
If Wyatt bought a 1 quart bottle of juice, (which you would need to convert into fluid ounces) but every 0.1 quarts of juice would be 3.2 fluid ounces. And if 0.5 quarts of juice is 16 ounces we could do 16 + 16 (fluid ounces) and we would get 32 fluid ounces in total.
And that's how you get the answer! :)
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
pls help me
i need this done
Answer:
270 yd³
Step-by-step explanation:
V = 2(½)bhL
V = bhL = 4.5(10)(6) = 270 = V
Please help find the error
Answer:
the error is they put out the answer
Step-by-step explanation:
Out of 1200 people polled, 30% do not like radio, and 10% of the people who do not like radio also do not like music. How many people polled do not like both radio and music?
Answer:
10% of people don't like either. Your answer is 120 people.
Step-by-step explanation:
need help ASAP !!!
[tex] \sqrt{2563 \times 2563} [/tex]
Answer:
√{2563×2563}=√2563²=±2563
Best one gets brainly :D
Answer:
The first and the second equation is flipped... meaning you have to switch their places
Step-by-step explanation:
I think I did this before so good luck...
Customer Money Spent (in dollars) 1 $13 2 $46 3 $13 4 $87 5 $10 6 $5 7 $8 8 $16 9 $33 10 $57 A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion A) is valid. The last 10 customers only bought sale items. B) is correct. This is the average amount spent by any customer. C) is invalid. This is not a good representation of all customers. Eliminate D) is unfair. The last ten people in the store may have been tired.
Answer:
Step-by-step explanation:
i think the anwer is c
pls help me this is due soon thx
Answer:
D
Step-by-step explanation:
What's the answer???
Answer:
2nd option
Step-by-step explanation:
An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?
Answer:
66°
Step-by-step explanation:
Given that :
Right angle measure of a triangle are used in a design :
A right angles triangle has one of its angle equals 90 ;a
Since the second angle is given as 24 ; b
The measure of the third angle ; c will be :
Sum of angles in a triangle = 180
(a + b + c) = 180
(90 + 24 + c) = 180
c = 180 - 114
c = 66°
Choose True or False for each equation for x = 6.
1 = False (6x6 = 36)
2 = True ( 6 + 5 = 11)
3 = True ( 6/2 = 3)
4 = True (17 - 6 = 11)
Answer:
false
true
true
true
Step-by-step explanation:
A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways
Answer:
5/2
5 : 2
5 to 2
. The coordinates of a rectangle are (4,2), (4,-3), (-2, -3) and (-2, 2). In square units, what is the area of this rectangle? units
Answer:
24 units^2. :)
Multiply (x+6) to (x^2 - 7x + 12)
Answer:
x³- x²- 30x + 72
Step-by-step explanation:
this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)
hope this helps