Answer:
Step-by-step explanation:
If there are options, please share them.
Subtract 7 from both sides. We obtain: -2x^2 + 3x - 3. The coefficients of this quadratic are a = -2, b = 3 and c = -3. Thus, the discriminant is
b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15. Because the discriminant is negative, this quadratic has two complex roots which differ:
-3 ± i√15
x = -----------------
-4
what are the steps and answer
Answer:
Trust me it’s I disagree
Step-by-step explanation:
So you have to use the Pythagorean Theorum which is [tex]a^2+b^2=c^2[/tex] and in this case a is 70 and b is 40.
So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different
Answer:
It's I disagree
Step-by-step explanation:
"Give your answers to 1 decimal place" help :(
Answer:
[tex]b[/tex] ≈ [tex]12.0[/tex]
Step-by-step explanation:
Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.
[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]
Subtract 144 from both sides
[tex]b^2=145\\[/tex]
Square root both sides
[tex]b=\sqrt{145}[/tex]
[tex]b[/tex] ≈ [tex]12.0[/tex]
Answer:
Step-by-step explanation:
[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]
Hope it helps tell me if its right
James earns $1000 weekly base pay as a sales-person and gets a 10% commission on everything he sells. It is said that he sold $20,000 worth of merchandise last month, how much did he earn for the month? Provide an explanation :)) A. $4,000 B. $22,000 C. $6,000 D. $2,000
Answer:
Option C.
Step-by-step explanation:
It is given that James earns $1000 weekly base pay as a sales-person.
We know that, we have 4 weeks in a month. So, monthly salary of james is
Monthly income [tex]=\$1000\times 4=\$4,000[/tex]
It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.
Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]
Total amount = Monthly income + Commission
[tex]=\$4,000+\$2,000[/tex]
[tex]=\$6,000[/tex]
Therefore, the correct option is C.
Solve x/2 + y/3 = 1 for x
Answer:
[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.
Hope this helped you, Also please let me know if anything is unclear or wrong!
Answer:
Step-by-step explanation:
If the equation below is solved by graphing, which statement is true?
log(6x + 10) = log 1 x
92
Answer:
92
Step-by-step explanation:
At a profit of 8% a shopkeeper sold a calculator for Rs 1,382.40. If he wants to increase his profit by 2%, at what price should he sell the calculator?
Answer:
Step-by-step explanation:
Translate the following into an expression: m% of n
Answer:
n(m%)
Step-by-step explanation:
By Translate the following into an expression: m% of n. Thus, the expression is 0.01mn.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to Translate the following into an expression:
m% of n
m x 1/100 x n = 0.01mn
Thus, the expression is 0.01mn.
Learn more about simplification;
https://brainly.com/question/17579585
#SPJ2
For the equations given below, which statement is true?
-21 = 14
6.1 = -42
A. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -3.
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by 3.
C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -4.
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value.
Answer:
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
Step-by-step explanation:
-21=14 Equ(1)
6.1=-42 Equ(2)
Multiplying the first equation by -3 will give
-63= -42
Which is not equivalent to the second equation
Multiplying the first equation by 3, we have
-63=42
Not equivalent to the second equation
Multiplying both sides of the first equation by -4, we have
84=56
Not equivalent to the second equation
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
which symbol is used to name a line with two points A and B
Answer:
AB
Step-by-step explanation:
I think that's the answer
Factor a2 - 11a + 28.
A. (a + 4)(a +7)
B. (a - 4)(a - 7)
C. (a + 14)(a + 2)
D. (a - 14)(a - 2)
Answer:
B. [tex](a-4)(a-7)[/tex]
Step-by-step explanation:
a*a makes it a^2
-4*-7=28
-4a+-7a=-11a
5) A recipe for cookies calls for 2 cups of milk for 3 cups of Flour. You decide that you want to make more cookies than the recipe calls for. You have enough to use 9 cups of flour. How many cups of milk is needed if you use 9 cups of flour?
Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.
Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.
I’m in need of major help with my Intermediate Algebra. Anyone please I need to pass my summer class.
Answer:
oki
Step-by-step explanation:
what do you need help with? :)
the diameter of a circle is 14in. Find its area in terms of pie(urgent)
The area of a circle is equal to:
[tex]\pi \times {r}^{2} [/tex]
r = 1/2 the diameter
1/2 of 14 is 7
7 squared is 49
The area is 49π
I need help with the ye old math
Answer:
24 scoops
Step-by-step explanation:
Each scoop is 1/4 and each bird feeder needs 1 1/2. 6 scoops of 1/4 make one bird feeder and for 4 bird feeders you would need 24 scoops.
PLEASE ANSWER ASAP AND PROVIDE EXPLANATION! A copy machine is set up to enlarge an original in the ratio 2:3. What is this enlargement in percent?
Answer:
50%
Step-by-step explanation:
Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.
Lest's pretend the original size was 100 in. 100/2x3=150
So in this case we enlarged it by 50 in. which is 50% of 100.
So, the enlargement as a percentage is 50%
Answer:
50% more
3-2=1
1/2=0.5
0.5=50%
You can also double check by adding half of two and checking if it is 3
2 x 0.5 = 1
2 + 1 = 3
50% increase
Hope this helps
Step-by-step explanation:
I need help please :)))
Answer:
[tex]\mathrm {7.1 \: inches}[/tex]
Step-by-step explanation:
Circumference of a circle is [tex]\pi d[/tex]
The diameter is [tex]2.25[/tex] inches as shown in the readings of the scale.
[tex]2.25\pi[/tex]
[tex]\approx 7.06858347058[/tex]
The end points of AB are A(2,3) and B(8,1). The perpendicular bisector of AB is CD and point C lies on AB. The length of CD is √10 units. The coordinates of point C are?
Answer and Step-by-step explanation:
Answer:
The coordinates of C are (5 , 2)
The slope of CD is 3
The coordinates of D are (6 , 5) and (4 , -1)
Step-by-step explanation:
* Now lets study the problem
- The ends points of line AB are A = 2 , 3) and B = (8 , 1)
- CD is the perpendicular bisector of AB, and C lies on AB
- That means:
# C is the mid-point of AB
# The slope of AB × the slope of CD = -1 (one of them is a multiplicative
inverse and additive inverse of the other)
-Ex: the slope of one is a/b, then the slope of the other is -b/a
* The mid-point between two points (x1 , y1) and (x2 , y2) is:
[(x1 + x2)/2 , (y1 + y2)/2]
∵ C is the mid-point of AB
∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)
* The coordinates of C are (5 , 2)
- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:
the slope = (y2 - y1)/(x2 - x1)
∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3
∵ CD ⊥ AB
∴ The slope of CD × the slope of AB = -1
∴ The slope of CD = 3
* The slope of CD is 3
- The length of a line passing through points (x1 , y1) and (x2 , y2) is:
the length = √[(x2 - x1)² + (y2 - y1)²]
∵ The length of CD = √10
∵ Point D is (x , y)
∴ (x - 5)² + (y - 2)² = (√10)²
∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)
∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply
∴ (y - 2) = 3(x - 5) ⇒ (2)
- Substitute (2) in (1)
∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify
* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²
∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms
∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides
∴ (x - 5)² = 1 ⇒ take √ for both sides
∴ x - 5 = ± 1
∴ x - 5 = 1 ⇒ add 5 to both sides
∴ x = 6
* OR
∴ x - 5 = -1 ⇒ add 5 to both sides
∴ x = 4
- Substitute the values of x in (2)
∴ y - 2 = 3(6 - 5)
∴ y - 2 = 3 ⇒ add 2
∴ y = 5
* OR
∴ y - 2 = 3(4 - 5)
∴ y - 2 = -3 ⇒ add 2
∴ y = -1
* The coordinates of D are (6 , 5) and (4 , -1)
9. How many ounces of a 25% alcohol solution must be mixed with 5 ounces of a 30% alcohol solution to make a 26% alcohol
solution?
ounces
The amount of 25% alcohol solution is
(Type an integer or a decimal.)
Answer:
27 Oz of 25% alcohol
Step-by-step explanation:
--percent ---------------- quantity
Alcohol I 30 ---------------- 18 Oz
alcohol II 25 ---------------- x Oz
Mixture 27 ---------------- 18 + x Oz
30*18+25x=27(18+x)
540+25x =486+27 x
25x-27x =486+540
-2x=-54
/ -2
x = 27
27 Oz of 25% alcohol
Which of the following are examples of statistical questions?
1.How many sodas do Jack and his friends drink in a week?
2.How many pairs of shoes do you own?
3.How many cats does Jack have?
4.What types of music does the 6th grade like?
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate [tex]3^x[/tex] for [tex]x = -2, x = 1, \text{ and } x = 3.[/tex]
So, we substitute values of x in the given function.
At x= -2, we have
[tex]3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}][/tex]
At x= 1, we have
[tex]3^1=3[/tex]
At x= 3
[tex]3^3=3\times3\times3=27[/tex]
So, the values of [tex]3^x[/tex] for
Thus, the correct answer is B) 1/9, 3, 27
Answer:
Step-by-step explanation:
Answer: B) 1/9, 3, 27
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 22, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
Relative Frequency
1-5
6 - 10
11 - 15
16 - 20
21 - 25
What is the relative frequency for the range 1 -57
a. 0.33
b. 0.4
c. 0.2
d. .27
The number of 90° angles formed by the intersections of and the two parallel lines and is
.
Answer:
4.
Step-by-step explanation:
Explain the main parts and uses of two kinds of proofs. March the word with the right definition.
A. Definition
B. Postulate(axiom)
C. Common notion
D. Theorem
E. Corollary
1. A statement that is assumed to be true without proof
2. A statement that has already been proven to be true
3. A statement that tells exactly what something is or means
4. A statement that makes sense based on another statement that has already been proven
5. A statement that is not officially defined but that is understood to be common sense.
Help pls :3
Answer:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Step-by-step explanation:
A. Definition refers to a statement that exactly defines the object, thing or everything.
B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.
C. Common notion is the statement that helps to understand the common sense about the subject.
D. Theorem is a statement that shows proof on the basis of previously making statements.
E. Corollary is a statement that act as a small proof that has already been proven.
Hence, the correct matches are:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Solve C = 2mr for r could not make the correct sign for m
Answer:
C = 2mr =
r=
m=
Step-by-step explanation:
Not sure if it's correct.
. Determine whether the forces in the pair are pulling at right angles to each other. For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other. 13 lb, 35 lb, resultant force 30 lb no; 20 lb, 15 lb, resultant force 25 lb yes 13 lb, 35 lb, resultant force 30 lb yes; 20 lb, 15 lb, resultant force 25 lb yes 13 lb, 35 lb, resultant force 30 lb yes; 20 lb, 15 lb, resultant force 25 lb no 13 lb, 35 lb, resultant force 30 lb no; 20 lb, 15 lb, resultant force 25 lb no
Answer:
13lb
Step-by-step explanation:
Which two numbers does 128 lie between on a number line
Answer:
127 and 129 if its going up by ones
work out xz and qr need asap
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal
(a)
[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
7.2XZ = 117 ( divide both sides by 7.2 )
XZ = 16.25 cm
---------------------------------------
(b)
[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
18QR = 122.4 ( divide both sides by 18 )
QR = 6.8 cm
A man purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5
pens at [tex]16 \frac{2}{3} [/tex]% loss. If he received Rs 625 in total, find the cost price of each pen.
help!!!
Answer:
Rs 60
Step-by-step explanation:
[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]
[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]
[tex]5x(1.25)+5x(5/6)=625[/tex]
[tex]10.416667x=625[/tex]
[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]
[tex]x=59.99999...[/tex]
[tex]x=60[/tex]
PLEASE HELP ASAP!!
Determine the value of k that would make these two functions inverses.
Answer: K = 6
Step-by-step explanation:
If you find the inverse of the inverse function, it will return back to initial function.
The inverse of r^-1 (x) will give r(x).
To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,
Y = 2x^2 - 14
Interchange y for x
X = 2y^2 - 14
2y^2 = x + 14
Y^2 = x/2 + 14/2
Square both side
Y = sqrt ( x/2 + 7 )
It is only when K = 6, that will can get the value above.
{y = 308x
y = 122x + 2,338
Solve the linear equation
Answer:
Step-by-step explanation:
So if y=308x then we have to use the substitution method.
y=308x
y=122x+2338
so y=308x=122x+2338
308x-122x=186x
186x=2338
do the division and thats your answer. which is what y equals