Use the zero product property to find the solutions to the equation x2 – 9 = 16.
x = –3 or x = 3 x
= –6 or x = –3 x
= –5 or x = 5 x
= 7 or x = 1
x^2-9=16
x^2=16+9
x^2=25
[tex]\sqrt{x}[/tex]=±5
(-5 or 5)
Verification:
5^2-9=16
25-9=16
(-5)^2-9=16
25-9=16
Answer:
The answer is C x=-5 or x=5
Step-by-step explanation:
correct on edge nov 2020
What is wrong with the picture? Show work.
Answer:
The mistake is in the angles
Either both should be 69° or 70°Hope this helps you Stay happy and safe Do mark as brainliest ✌️where does 17 lie between
Using synthetic division, what is the quotient of this expression? 2x^2 + 5x - 7 divided by x - 2
A. 2x + 7
B. 2x + 9 + 11 divided by x - 2
C. 2x + 1 - 5 divided by x - 2
D. 2x - 5
Answer: 2x + 9 + 11/x - 2
Step-by-step explanation:
2x^2 + 5x - 7 divided by x - 2 we get quotient 2x + 9 .
What is synthetic division algebra?Synthetic division is a method for doing Euclidean division of polynomials that requires less writing and calculations than long division. The approach is most commonly taught for division by linear monic polynomials (known as the Ruffini's rule), but it can be adapted to division by any polynomial.Divide the dividend by the divisor to find the quotient of a division problem. This can be accomplished by using repeated subtraction or lengthy division. The quotient of two integers, two fractions, or two algebraic terms can be found.[tex]\frac{2x^2 + 5x - 7 }{x-2}[/tex] after Synthetic division we get 2x + 9 as the quotient and reminder 9
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pleas help me ill give brainleyest
Answer:
11.8% Decrease
Step-by-step explanation:
I googles it i am sorry if it's not right
Joshua withdrew $32.50 each week for six weeks for pitching lessons. By how much did these lessons change his savings account balance?
Answer:
$195.00
Step-by-step explanation:
32.50 times 6 = 195.00
take 32.50 times 6 cause he took out money for 6 weeks of lessons then you do 32.50 times 6 and you should get 195
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
Horn
40%
OFF
How much was deducted from the original price? (4 pt.)
А
$0.40
B
$5.20
$7.80
A percentage is a way to describe a part of a whole. The amount paid by Marta for the cookbook is $7.80.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the original price of the cookbook was $13, Marta bought it for 40% off. Therefore, Marta only paid 60% of the original cost,
[tex]\text{Amount paid by Marta} = \text{60\% of the original cost}\\\\\text{Amount paid by Marta} = \dfrac{60}{100} \times \$13\\\\\text{Amount paid by Marta} = \$7.8[/tex]
Thus, the amount paid by Marta for the cookbook is $7.80.
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What is the simplest form of
N3240215
bº?
b20)
(Assume that a 20
and
18ab3
* 1864
O 162ab3
162ab4
RETRY
done
Answer:
A
and the answer to part b is
C
Step-by-step explanation:
Answer:
the other man is right
Step-by-step explanation:
a then c so have nice day love yall
The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.
Answer:
Trophic Level
Step-by-step explanation:
The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.
Which measure is equivalent to 18,000 s?
1 min = 60 s
1 h = 60 min
0.5 h
3 h
5 h
30 h
Answer:
30 h
Step-by-step explanation:
went to the same question and got the answer plus i took th test
It snowed 68.5 cm in one day. How much did it snow in meters?
Answer: 0.685 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 meter = 100 cm
x = 68.5
Cross multiply
68.5 * 1 = 100 * x
Divide by 100
68.5/100 = x
x = 0.68.5
The population of China is approximately 1.381x10^9, and the population of the US is approximately 3.23x10^8. About how many people live in both countries combined? Answer in scientific notation
Answer:
1.704 x 10⁹ people
Step-by-step explanation:
Population of China = 1.381 x 10⁹
Population of US = 3.23 x 10⁸
Problem:
Number of people in both countries combined = ?
Solution
To solve this problem, simply add them together;
Let us make the exponents the same for easy addition;
Population of China = 1.381 x 10⁹ = 13.81 x 10⁸
Poplation of US = 3.23 x 10⁸
Adding both:
(13.81 x 10⁸) + (3.23 x 10⁸)
⇒ (13.81 + 3.23) x 10⁸
⇒ 17.04 x 10⁸
⇒ 1.704 x 10⁹
Jumping makes a frog so tired, each successive jump is 2/3 the distance of the previous hump. If a frog jumps 24 cm on its first jump, how far will the frog travel after four jumps?
2x=(-x)+6 answer and I’ll give brainiest
Answer:
x = 2
Step-by-step explanation:
[tex]2x=-x+6[/tex]
[tex]2x+x=6[/tex]
[tex]3x=6[/tex]
[tex]\frac{3x}{3} =\frac{6}{3}[/tex]
[tex]x=2[/tex]
Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.
1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
Step 1: Use the distributive property to remove the parentheses. (2 points)
Step 2: Collect any like terms on both sides of the equation. (2 points)
Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)
Answer:
x=-3
Step-by-step explanation:
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
(remove parentheses)
5x-20+3x-9x=6-2x-5+8x
(collect like terms and calculate)
-x-20=1+6x
(move the terms)
-x-6x=1+20
(collect like terms and calculate)
-7x=21
(divide both sides)
x=-3
(your answer :))
mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
Answer:
the total cost would be $45.2
Choosing from 8 car models, 5 exterior paint colors, and 2 interior
colors
Solve 4(2x-1)-3=9(x4)
Answer:
x=-1/4
Step-by-step explanation:
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=29
A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?
Answer:
What you are looking for is the ratio which is 5/9
Step-by-step explanation:
all you had to do was add them together
Answer:
Step-by-step explanation:
5 to 9
Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.
Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.
Answer:
a) maximize 12F + 9S
where:
F = football trophies
S = soccer trophies
b) constraints:
wood ⇒ 4F + 2S ≤ 4800
plaques ⇒ F + S ≤ 1750
brass footballs ⇒ F ≤ 1000
brass soccer balls ⇒ S ≤ 1500
c) using solver, the optimal solution is 650F + 1100S = $17,700
d) plaques ⇒ F + S ≤ 200, then
optimal solution is 200F = $2,400
solve the following equation for a: -g + 3/4a = y
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
[tex]-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}[/tex]
AsKevin Selma madelyn Louis
show that 5x²+2x-3
can be written in the
form |x+1/5| < 4/5 Hence, solve
the inequality
5x²+2x-3< 0
5x² + 2x - 3 < 0
5x² + 2x < 3
x² + 2/5 x < 3/5
Complete the square on the left side:
x² + 2/5 x + 1/25 - 1/25 < 3/5
(x + 1/5)² - 1/25 < 3/5
(x + 1/5)² < 16/25
Take the square root of both sides, keeping in mind that √(x²) = |x| for all x.
√((x + 1/5)²) < √(16/25)
|x + 1/5| < 4/5
This means
-4/5 < x + 1/5 < 4/5
-1 < x < 3/5
What is this expression equivalent to? Will Give Brainliest! Image is below.
Answer:
the correct answer is 4
If a histogram of a sample of men's ages is skewed, what do you expect to see in the normal quantile plot?
Answer: Points are not following a straight-line pattern
Step-by-step explanation:
Histograms are used to show the distribution of a dataset.
If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.
From the question, we understand that:
The histogram is skewed
This means that:
The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.
The above highlight mean that:
The points on the histogram are unequal.
Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.
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Graph the line y=-1/3x+3
What kind of number is 438.2 rational or irrational ?
ratinal
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
A rational number is any number that can be turned into a fraction. Any decimal number can be turned into a fraction, therefore, this is a rational number.
Factorise fully
63 - 9b
Please do quick! Will mark brainiest!
I believe it is 9(7-b)
A company purchased mineral assets holding approximately 225,000 tons of ore for 855,000. The estimated residual value of the assets is zero. During the first year, 47,500 tons are extracted and sold. What is the amount of depletion for the first year?
Answer:
000.99
Step-by-step explanation:
Evaluate this expression: 39 ÷ (2 + 1) - 2 × (4 + 1).
Answer:
9.5
Step-by-step explanation:
here's my work
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is 3.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Using the rule of BODMAS the solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is,
39 ÷ (2 + 1) - 2 × (4 + 1)
= 39 ÷ (3) - 2 × (5)
= 13 - 2 × (5)
= 13 - 10
= 3
Hence, the solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is 3.
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