solve: x2 + 8x - 9 = 0
please i need it urgently
Answer:
x = 1 or x = -9
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 8 x - 9 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 9 to both sides:
x^2 + 8 x = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 25
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 25
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = 5 or x + 4 = -5
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = 1 or x + 4 = -5
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = 1 or x = -9
Dwight is selling flowers and candles for a school fundraiser. Flowers, x, sell for $7 for a bouquet, and candles, y, sell for $5. each. If he wants to sell at least $200 worth of flowers and candles, which inequality represents the situation where he sells x flowers and y candles?
A: 7x + 5y 200
C: 7x + 5y ≤ 200
D: 7x + 5y ≥ 200
Please explain why the right answer choice is correct. Thanks.
Answer:
D: 7x + 5y ≥ 200
Step-by-step explanation:
If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.
A granola recipe calls for 2 1/3 (mixed number 2 and 1/3) cups of almonds. A bag of almonds contains 2 cups. To make 2 1/2 (mixed number 2 and 1/2) batches of granola, Ali buys 5 bags of almonds. How many cups of almonds will he have left over?
Answer:
4 1/6 cups of almonds left
Step-by-step explanation:
Granola recipe = 2 1/3 cups of almonds
2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2
= 2 1/3 × 2 1/2
= 7/3 × 5/2
= (7*5)/(3*2)
= 35/6
= 5 5/6 cups of almonds
A bag of almonds = 2 cups
5 bags of almonds = 10 cups
Cups of almonds left = 10 cups - 35/6 cups
= 60-35/6
= 25/6
= 4 1/6 cups
Hi, I need help with the EXPLANATION of this question. I have the right answer, but I am unsure why. 50 POINTS
Step-by-step explanation:
Using Pythagoras' Theorem, we have
x² + 10² = (12√3)²
Therefore x² = (12√3)² - 10²
= (144)(3) - (100) = 332.
=> x = √332 = 2√83. (B)
Use the diagram below to solve for x and y. Please help! Fast if possible.
Answer:
x = 27
y = 29
Step-by-step explanation:
If the area of a circle is 25pi (n), what is the radius of the circle
Answer:
5
Step-by-step explanation:
the are is pi times radius times radius
so do the square root of 25, which is 5.
this means that the radius is 5
Answer:
five (5).
Step-by-step explanation:
Area of circle =pi r^2
given that area is 25pi
now equate both .....we get
25pi=pi r^2
25=r^2
r=5
Given: f(x) =x-7 and h(x)=2x+3
Write the rule for h(f(x))
Answer:
I think it is c I hope at least
Answer:
2x-11
f(x)= x-7
h(x)= 2x+3
Step-by-step explanation:
h(fx)= 2(x-7)+3
= 2x -14 +3
= 2x - 11
Determine the circumference of a circle with a radius of 4 in. Use 3 as a estimate for \PiΠ
Answer:
24
Step-by-step explanation:
im not sure why 3 is estimat efor pi, usually 3.14
2pi*r
2*4*3 = 24
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
-70x
Step-by-step explanation:
The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.
Find the equation of the parabola
Answer:
y = - x² + 5x - 4
Step-by-step explanation:
Given that the zeros are x = 1 and x = 4 , then the corresponding factors are
(x - 1) and (x - 4) , then
y = a(x - 1)(x - 4) ← a is a multiplier
= a(x² - 5x + 4)
To find a substitute the coordinates of any other point on the parabola into the equation.
Using (2, 2), then
2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )
a = - 1
Thus
y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )
Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. A 4-column table with 4 rows. The first column has no label with entries county 1, county 2, county 3, total. The second column is labeled Democrat with entries 4,050; 3,925; 2,100; 10,075. The third column is labeled Republican with entries 2,470; 6,010; 5,950; 14,430. The fourth column is labeled total with entries 6,520; 9,935; 8,050; 24,505. Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: % Democratic residents of County 1: % Total Republican residents: % Total Democratic residents: %
Using the concept of relative frequency, it is found that:
Republican residents of County 1: 37.9%.Democratic residents of County 1: 62.1%.Total Republican residents: 58.9%.Total Democratic residents: 41.1%.----------------------------------
A relative frequency is the number of desired outcomes divided by the number of total outcomes.
To find it as a percentage, we multiply by 100%.
----------------------------------
The table used is the image at the end.
----------------------------------
County 1 has 6,520 residents, out of which 2,470 are Republican.
2470*100%/6520 = 37.9%
Thus:
Republican residents of County 1: 37.9%.
----------------------------------
County 1 has 6,520 residents, out of which 4,050 are Democratic.
4050*100%/6520 = 62.1%
Thus:
Democratic residents of County 1: 62.1%.
----------------------------------
Total of 24,505 Residents, 10,075 Democrats and 14,430 Republicans.
10075*100%/24505 = 41.1%
14430*100%/24505 = 58.9%
Thus:
Total Republican residents: 58.9%.
Total Democratic residents: 41.1%.
A similar problem is given at https://brainly.com/question/20630951
Answer:
Find the following relative frequencies to the nearest tenth of a percent.
Republican residents of County 1: 10.1%
Democratic residents of County 1: 16.5%
Total Republican residents: 58.9%
Total Democratic residents: 41.1%
Correct on Edge! :)
evaluate the following:
csc(0)=
sec(0)=
cot(0)=
Answer:
Step-by-step explanation:
we need that theta angle .. soooo.... use SOH CAH TOA to remind yourself how the trig functions fit on the triangle.....
since we have all 3 side any one of the above trig functions would work. as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....
sooo ....
Cos(Ф) = Adj / Hyp
Ф = arcCos( 24 /25)
Ф ≈16.26°
I don't have csc on my calculator but I know that 1/sin = csc sooo
csc(16.26)=1/sin(16.26) ≈ 3.57
sec(16.26)= 1/cos(26.26) ≈ 1.041
cot(16.26) = cos(16.26) / sin(16.26) ≈3.476
Answer:
csc(0)= 25/7
sec(0)= 25/24
cot(0)= 24/7
Step-by-step explanation:
In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.
100 POINTS plus a Brainiest
The table represents an exponential function.
What is the ratio of outputs for any two inputs that are two values apart?
Divide the larger output by the smaller output.
Enter your answer, as a decimal to the nearest hundredth, in the box.
Answer:
0. (45) 1. (51.71) 2. (48.24) 3. (55.44) 4. (59.43)
Step-by-step explanation:
Ill be so sorry if I get it wrong I did the math and this is what I got so if I get it wrong tell me ;w;
Answer: 1.15
Step-by-step explanation:
which pair of angles are alternate exterior angles
<1 and <5
<3 and <6
<5 and <8
<1 and <8
Answer:
<1 and <8
Step-by-step explanation:
<1 and <8 are alternate angles and has same measurement.
Work out the value of (6.8 x 10^2) x (1.3 x 10^-3)
Answer:
worked it out.
Step-by-step explanation:
0.884
8×84×10-1
Is x = 6 a solution to the equation x + 13 = 18?
O A. Yes, because 6 +13 = 18 is true.
O B. No, because 6 + 13 = 18 is true.
C. No, because 6 + 13 = 18 is not true.
D. Yes, because 6 + 13 = 18 is not true.
x = 6 is not a solution to the equation x + 13 = 18.
Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.
Is x = 6 a solution to the equation x + 13 = 18?Given the equation; x + 13 = 18.
We plug x = 6 into the equation
x + 13 = 18
6 + 13 ≠ 18
6 + 13 is not 18
x = 6 is not a solution to the equation x + 13 = 18.
Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.
Learn more about equations here: brainly.com/question/14686792
#SPJ1
find the equivalent expression for (x + 7)(x + 1)
Answer:
x² + 8x + 7
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x + 7)(x + 1)
Step 2: Expand
Expand [FOIL]: x² + x + 7x + 7Combine like terms: x² + 8x + 7Answer:
[tex](x + 7)(x + 1) = {x}^{2} + 7x + x + 7 \\ = {x}^{2} + 8x + 7 \\ Answer:\: \: \: \: \: \: \boxed{{x}^{2} +8 x + 7}[/tex]
Does this problem have a solution yes or no?
Answer:
Yes.
Step-by-step explanation:
Solving One Step Equations. SHOW YOUR WORK
x - 7 = 13 solve to find x
Answer:I'm guessing 2
Step-by-step explanation:
Answer:
X=20
Step-by-step explanation:
x-7=13
x=13+7
X=20
Is the expression 2(5-4) numerical or algebraic
Please help asap
Answer:
Numerical
Step-by-step explanation:
This is a numerical expression because there are no variables; there are only numbers.
Answer:
The expression is numerical.
Step-by-step explanation:
It is numerical because it contains numbers and operations. Algebraic expressions contain variables.
If TRAP is an isosceles trapezoid, what is the value of X?
A. 6
B. 32
C. 28
D. 22
E. 15
F. Cannot be determined
Which of the following is equal to [(x^2 y^3)^-2/x^6 y^3 z)^2]^-3
Answer:
it's A,B and D , Edge 2021
Step-by-step explanation:
Answer:
The person over me is right, the correct answers are A,B and D.
Step-by-step explanation: I got them right. Edge 2021.
Determine if the following
is a function
This is not a function because the numbers show no pattern and are very inconsistent. You can see if there is a pattern after the second line; you can see if the third line follows the pattern from the 1st and 2nd line, which it does not in this case.
May I have brainliest please? :)
Translate the word phrase into a math expression.
11 fewer than the quotient of 2 and a number
11−(n÷2)
11−n÷2
11−(2÷n)
2÷n−11
You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions. 8 ft $\times$ 5 ft
Answer:
24 minutes
Step-by-step explanation:
The Dimensions of the wall are given as:
8ft × 5ft = 40ft² or 40 square feet
We are told that: You can paint 75 square feet of a surface every 45 minutes.
Hence:
75 ft² = 45 minutes
40 ft² = x minutes
Cross Multiply
75 ft² × x = 40 ft² × 45 minutes
x = 40 ft² × 45 minutes/75 ft²
x = 24 minutes
Therefore, It will takes you 24 minutes to paint a wall with dimensions 8ft × 5 ft
Please help, find the measure of angle 1 (geometry)
I am three years younger than my brother and I am two years older than my sister my mom's age is 1 less than three times my brothers age when you add all these ages up you get 87 what are our ages
Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years
Step-by-step explanation:
Step 1
Let my age be represented as x
My brother's age be represented as x+3
My sister's age =x-2
and my mum's age be 3(x+3)-1 with the total of all our ages = 87 Giving us the equation
x+ x+3+ x-2+ 3(x+3)-1 = 87
Step 2 ---Solving
x+ x+3+ x-2+ 3(x+3)-1 = 87
x+ x+3+ x-2+ 3x+9 -1 = 87
6x + 9= 87
6x= 87-9
6x= 78
x =78/6 = 13
Therefore my age = 13years
My brother's age = x+ 3 = 13+3= 16years
My sister's age = x-2 =13-2 = 11years
my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years
How should an online components be delivered?
Answer:
By mail
Step-by-step explanation:
by mail
HAVE A NICE DAY!!!!!!
Complete this table
3°
3
32
38
34
35
36
1
3
9
27
729
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
hope it helps! please mark me brainliest
thank you!! have a good day ahead..
Answer:
this is 3⁴= 81 and 3⁵= 243