Answer:
x = 0 or 1x = ±i/4x = -5 (twice)Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
__
2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
__
3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
f(x) = x^2 + 3 g(x) = 4x - 3 Find (f°g)(-1)
a. 4
b. -52
c. -4
d. 52
Answer:
Step-by-step explanation:
g(-1) = 4(-1) - 3 = -4 -3 = -7
f(-7) = (-7)^2 + 3 = 49 + 3 = 52
Answer is D
eight hundred and five thousandths decimal
A group of pirates found Treasure worth $540 the pirate the 4 Pirates each get to take the same amount of treasure home for the night. How much treasure did each pirate get to take
Answer:
$135
Step-by-step explanation:
Expression: (3215 - 3052) * 15
The value of the expression is
Answer:
2,445
Step-by-step explanation:
PEMDAS:
(3215 - 3052) * 15 =
163 * 15 =
2,445
Hope this helps.
Answer:
I think Its 24.45
Step-by-step explanation:
I did my best
Fatima has 1/2 gallon of milk she wants to pour all milk into 6 glasses what fraction of a gallon should she pour into each glass
Answer:
4/5
Step-by-step explanation:
1/2÷6=0.8333333...
0.8333333...as a fraction is 4/5
Answer:
1/2
Step-by-step explanation:
what is the measure of ABD
Answer:
Hey there!
The measure of angle ABD plus the measure of angle CBD equals 90 degrees or a right angle.
Thus, we can write the equation: ABD+51=90
Solving for ABD, we find that it is 39 degrees.
Let me know if this helps :)
the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.
What is right angle?A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
according to given figure
The measure of angle ∠ABD plus the measure of angle ∠CBD equals 90 degrees or a right angle.
Thus, we can write the equation: ∠ABD + ∠CBD = 9[tex]0^{o}[/tex]
∠ABD + 5[tex]1^{o}[/tex] = 9[tex]0^{o}[/tex]
∠ABD = 9[tex]0^{o}[/tex] - 5[tex]1^{o}[/tex]
∠ABD = 3[tex]9^{0}[/tex]
Hence, the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.
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I know the answer show me how you solve it
Step-by-step explanation:
It's basically [tex]3\sqrt{3} - 1\sqrt{3}[/tex] which is just 3 - 1 since the radicals are the same.
What is 3 2/5 as a decimal?
Answer:
3.4
Step-by-step explanation:
2/5 as a decimal is 0.4, and we can add 3 to it, getting 3.4
6. Let f(x)=x-2 and g(x) = x^2. Find the value of (fog)(-1).
A. -1
B.9
C.3
D.-3
Answer:
The answer is option AStep-by-step explanation:
f(x) = x - 2
g(x) = x²
In order to find (fog)(-1) we must first find (fog)(x)
To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with
g (x).
That's
(fog)(x) = x² - 2
To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)
We have
(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1
Hope this helps you
easy 10 points and brainliest :)
Answer:
on the x-axis
Step-by-step explanation:
If x is less than 0, that means it's to the left of the origin, and if y = 0, then that means the point lies on the x-axis. Hence, (x,y) is on the x-axis.
Cheers.
what is w increased by 15 written out
Answer:
[tex]\Huge \boxed{w+15}[/tex]
Step-by-step explanation:
The number w is increased by 15.
15 is added to w.
[tex]\Rightarrow w+15[/tex]
Answer:
wwwwwwwwwwwwwww
Step-by-step explanation:
you said 15 w's
4. which of the following is the correct notation for 15-sqr-32
5. which of the following is equivalent to sqr-63
Answer:
See below.
Step-by-step explanation:
4.
[tex] 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} [/tex]
5.
[tex] \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} [/tex]
6.
[tex] \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i [/tex]
WILL GIVE BRAINLIEST!!!!!!!!!
Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.
Answer:
2
Step-by-step explanation:
The scale factor can be determined by simplifying the ratio of the corresponding length of the preimage to that of the image.
The preimage is the smaller shape shown, while the image is the lager shape shown.
Any side length can be used.
Thus, length of one side of the preimage, AD = 4 - 1 = 3 units
AD corresponds to side length A'D' if the image = 7 - 1 = 6 units
The ratio of the image length to the ratio of the preimage length = the scale factor
Thus:
6 : 3 = [tex] \frac{6}{3} = 2 [/tex].
The scale factor is 2.
A preschool has a student to teacher ratio of 5:2. Yesterday, the total number of students was 55, how many teachers are at the preschool?
A rectangle is 10 cm long and it's perimeter is 26cm . find the breath of the rectangle
Answer:
the width of a rectangular is 3 cm
Step-by-step explanation:
Length L = 10 cm
Perimeter P = 26 cm
Width W = ?
perimeter = 2L + 2W
26 = 2(10) + 2W
26 - 20 = 2W
6 = 2W
W = 6 / 2
W = 3 cm
therefore, the width of a rectangular is 3 cm
how to do this question plz answer me step by step plzz
Answer:
No
Step-by-step explanation:
First, figure out the circumference:
c=[tex]\pi[/tex]d
c=[tex]\pi[/tex]180=565.48
Then divide by the space needed:
565.48÷70=8.07
With 18 tables and 8 people per table:
18x8=144
So they only have seating for 144 guests.
Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a
brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically
in her wall while remaining below this maximum. So, she constructs the expression 0.6x+0.4 to measure the height of her wall, where all
constants represent measurements in meters. Which of the following statements are true?
Select all that apply.
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation:
In this expression the x is the number of blocks which is multiplied with the height of the block and added to the height of the base to get the total height of the wall.
Suppose we have ten blocks so
0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4
The height of the wall would be 6.4 if there are ten blocks.
The height of the wall depends on the number of blocks used.
The height of the base is constant irrespective of the number of blocks used.
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation:
a certain oak tree is 12 feet taller than a certain pine tree. if the pine tree is p feet tall, which expression represents the height of the oak tree?
Answer:
o=p+12
Step-by-step explanation:
height of the oak tree is equal to the height of the pine tree plus 12 feet.
5 + 3x – 2x = 31 – 6 – 5
What is the answer?
Answer:
x=15
Step-by-step explanation:
i just know its right
The manufacturer of computers spends $500 to make each computer and sells them for 800. The manufacturer also has fixed costs each month of $5700. Find the cost function C when x computers are manufactured.
Answer:
C(x) = 5700 + 500x
Step-by-step explanation:
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.
Variable cost are cost that changes with production such as cost of raw material, cost of labor.
From the question:
Fixed cost= $5,700
Cost per unit of computer = $500
If x number of computers are produced in a month
Variable cost = 500x
Total cost = fixed cost + variable cost
C(x) = 5700 + 500x
Where,
C(x) = total cost
5700= fixed cost
500x= variable cost
Answer:
C(x)=500x+5700.
Step-by-step explanation:
he general Cost function formula is given by
C(x)=cost per unit⋅x+fixed costs.
The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by
C(x)=500x+5700.
Which of the following numbers is closest to 5?
A. V23
B. V26
C. V22
D. V28
Answer:
B
Step-by-step explanation:
V26 is closer to 5 because it's only one number away.
The number among the option that is closest to 5 is √26.
How to find the number closest to 5?The number closest to 5 is the number that is almost 5.
The option are express in surd form, therefore, lets express in real numbers(decimal form) Real numbers are rational or irrational numbers. Therefore,
√23 = 4.79583152331
√26 = 5.09901951359
√22 = 4.69041575982
√28 = 5.29150262213
Therefore, using the decimal form, the closest number to 5 is √26
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Alicia is thinking of a number for her friends to guess. She tells them the number is the least common multiple of 3 and 7. Which number is Alicia thinking of?
Answer:
21
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
We see that the first number that is a multiple of both 3 and 7 is 21.
Armando wrote the expanded notation for 0.356 as shown below. How can you
rewrite his expanded notation using fractions for the place values?
Answer:
3×1/10 +5×1/100 +6×1/1000
Step-by-step explanation:
You have not shown Armando's work, but we know there are several ways that expanded form can be written:
0.356 = 0.3 + 0.05 + 0.006
= 3×0.1 + 5×0.01 + 6×0.001
= 3×10^-1 + 5×10^-2 + 6×10^-3
When the place values are expressed as fractions, this is ...
= 3×1/10 + 5×1/100 + 6×1/1000
Dana recorded a temperature drop of 20 and a second temperature drop of 30. What is the total change in temperature
Answer: -50
Step-by-step explanation:
-20 + -30 = -50
The total change in temperature that Dana recorded will be -50 or a drop of 50.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
First temperature drop = -20
Second temperature drop = -20
Total drop = -20 - 20 = -40
Hence "The total change in temperature that Dana recorded will be -50 or a drop of 50".
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Express the quotient of r to the power of six sevenths divided by r to the power of two sevenths as a radical
Answer:
See below (I hope this helps!)
Step-by-step explanation:
When dividing exponents of the same base, we can simply subtract the powers so the new power would be 6 / 7 - 2 / 7 = 4 / 7, hence we need to write [tex]r^{\frac{4}{7} }[/tex] as a radical. When writing fractional exponents as radicals, the denominator of the fractional exponent is the index of the radical and the numerator is the exponent of the base inside the radical, hence, our answer is [tex]\sqrt[7]{r^{4} }[/tex].
Jai and kim need to collect cans of food for a food drive. Jai collect 65/100 of the total cans needed, and kim collects 2/10 of the total cans needed. What fracion of the total number of cans did they collect altogetther
Answer:
17/20
Step-by-step explanation:
Add 65/100 to 2/10
65/100 + 2/10 = 65/100 + 20/100 = 85/100 = 17/20They collected 17/20 of cans of food altogether
Find the angles x and y in following figure.....correct answer will be mark BRAINLIEST and be followed...
Answer:
<CTS=180-(35+31) (sum of <s in a triangle)
=180-66
=114 degrees
x=180-114 (angles on a straight line)
x=66 degrees
<TSR=180-(30+36)
=180-66
=114 degrees
<TSA=180-114
=66 degrees
y=180-(66+66)
y=180-132
y=48 degrees
5. Let f(x) = x - 2 and g(x) = x^2. Find the value of (g of)(4).
A.14
B.4
C. 62
D.32
Answer:
B. 4
Step-by-step explanation:
(g o f)(x) means that we put the expression for f(x) in for x in g(x):
(g o f)(x) = g(f(x)) = (x - 2)²
We want to find (g o f)(4), so plug 4 in for x:
(g o f)(x) = (4 - 2)² = 2² = 4
The answer is thus B.
~ an aesthetics lover
If -4/3y=-3/4, then y =?
Step-by-step explanation:
y=-3/4 ÷ -4/3
y=+9/16
Answer:
So we have this equation:
[tex]\frac{-4}{3y}=\frac{-3}{4}[/tex]
We can multiply both sides by 4 and 3y:
[tex]\frac{-4*4*3y}{3y}=\frac{-3*4*3y}{4}[/tex]
[tex]-4*4=-3*3y[/tex]
[tex]-16 = -9y[/tex]
Now we divide both sides by 9:
[tex]\frac{-16}{-9}=y[/tex]
And we can remove the minus signs:
[tex]\frac{16}{9}=y[/tex]
If you mean [tex]\frac{-4}{3}y=\frac{-3}{4}[/tex]:
[tex]-4y*4=-3*3[/tex]
[tex]-16y = -9[/tex]
[tex]y=\frac{9}{16}[/tex]
A cube with an edge of length has a volume of 64 units. What is the length of ? Hint: Volume of a cube is LxWxH.
Answer:
it is 4
Step-by-step explanation: