(1)
since both equations express y in terms of x, equate the right sides
- 2x = - 4x + 10 ( subtract 4x from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
substitute x = 5 into y = - 2x → y = - 10
solution is : (x, y ) → (5, - 10 )
(2)
equate the right sides of both equations
3x = 2x - 7 ( subtract 2x from both sides )
x = - 7
substitute x = - 7 into y = 3x → y = - 21
solution is : (x, y) → (- 7, - 21)
(3)
substitute y = - 8 into the other equation
- 8 = 6x + 22 ( subtract 22 from both sides )
- 30 = 6x ( divide both sides by 6 )
x = - 5
solution is : (x, y ) → (- 5, - 8 )
Locating Zeros of Polynomial Function:
Approximate the real zeros of f(x)=2x^3-4x^2-3 to the nearest tenth
A graph shows that the best choice is ...
... b. 2.3
_____
Finding real roots of higher-degree polynomials is often done most easily with the help of a graphing calculator.
Match the vocabulary word with the correct definition. 1. circle circles that have equal radii 2. radius a segment joining the center of a circle to a point of the circle 3. diameter the set of all points in a plane that are at a given distance from a given point in the plane 4. congruent circles two or more circles that lie in the same plane an have the same center 5. concentric circles a chord of a circle that contains the center of the circle
Answer:
1 - Circle 2 - Concentric 3 - Congruent 4 - Diameter 5 - Radius
Step-by-step explanation:
1. the set of all points in a plane that are at a given distance from a given point in the plane
Circle
2. two or more circles that lie in the same plane and have the same center
Concentric Circles
3. circles that have equal radii
Congruent Circles
4. a chord of a circle that contains the center of the circle
Diameter
5. a segment joining the center of a circle to a point of the circle
Radius
The given vocabulary words are all related to the concept of circles in mathematics. Each term is defined in respect to a characteristic or property of a circle. The terms covered were circle, radius, diameter, congruent circles and concentric circles.
Explanation:The vocabulary words match with the correct definitions as follows:
A circle is defined as the set of all points in a plane that are at a given distance from a given point in the plane. The term radius refers to a segment joining the center of a circle to a point of the circle. The diameter is a chord of a circle that contains the center of the circle. Congruent circles are circles that have equal radii. Finally, concentric circles are two or more circles that lie in the same plane an have the same center. Learn more about Circle Vocabulary here:
https://brainly.com/question/35467927
#SPJ2
1. what is the simplified form of -(x - 4)?
A. - × -4
B. - × + 4
C. x + 4
D. x - 4
2. what is the simplified form of the expression -4xy/3x?
A. -3y/4
B. -4×/3
C. -4y/3
D. -3×/4
1. To simplify -(x-4) change the sign on each term inside parenthesis:
-(x-4) would become -x+4
The answer is B.
2. -4xy / 3x
Cancwl the common factor out
-4xy / 3x (cross out the x's)
-4y /3
The answer is C.
Answer:
C thank you next
Step-by-step explanation:
Use a drawing of counters to show 5 and then +7
red red red red red yellow yellow yellow yellow yellow yellow
hope this helps :)
what is 13 divided by eleven thousand eighty nine
The expanded form of a number is (6 × 1) + (2 × 0.1) + (7 × 0.01). How should the number be written in word form? six and twenty-seven six and twenty-seven tenths six and twenty-seven hundredths six and twenty-seven thousandths
All choices agree that it is "six and (something)".
So, you're asked to figure out whether 0.2 + 0.07 = 0.27 is
twenty-seventwenty-seven tenthstwenty-seven hundredthstwenty-seven thousandthsYou can start with the original expanded form to decide
... (2 × 0.1) + (7 × 0.01) = (20 × 0.01) + (7 × 0.01)
... = (20+7) × 0.01 = (27 × 0.01)
Since you know 0.01 is 1 hundredth, you know the correct choice is ...
... six and twenty-seven hundredths
the answer would be -six and twenty-seven hundredths
if you miss a payment for a bill, how do you compute the interest due on the next bill?
To calculate the interest due after missing a payment, add any late fees to the unpaid bill and apply the monthly interest rate to the outstanding balance. Interest compounds monthly, so it's crucial to pay off the debt quickly to prevent the balance from growing.
Explanation:To compute the interest due on the next bill after missing a payment for a bill, you need to consider any late fees in addition to the compounded interest. For a credit card company that charges a flat rate of $10 for a late payment and a daily rate of $5 for each day the payment remains unpaid, you would add these fees to the subtotal of the unpaid bill. Additionally, most creditors use a formula to calculate minimum payments and interest on the outstanding balance, typically on a monthly basis.
The interest on the next bill is calculated by multiplying the balance you owe by the interest rate that is applied each month. If you continue to carry a balance from month to month, this interest will be added to your outstanding balance, which will increase the amount you owe. It is important to pay off credit card debt as promptly as possible to avoid accruing additional interest.
What is the answer of -3 2/3 + 1.1 as a fraction?
ABCD is a parallelogram.
Use a system to find x and y
if AB= 6x+30,.
BC=2x-5,
CD=2y-10,
and AD=y-35
Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
Will give brainliest and extra points omg help ! /:
(d)
This equation does not factor, but we can solve using the quadratic formula
x = ( - b ± √(b² - 4ac) )/ 2a
given the equation in standard form : ax² + bx + c = 0
divide through by - 1, to obtain
x² + 7x + 2 = 0
with a = 1, b = 7 and c = 2, then
x = ( - 7 ± √(49 - 8) ) / 2
= ( - 7 ± √41 ) / 2
x = - [tex]\frac{7}{2}[/tex] ± √41 / 2 → (d)
SOLVE THE INEQUALITY -X/7+ 4 ≥ 3X A. x ≤ 14/11 B. x ≤ 2/5 C. x ≤ 2/1 D. x ≥ –1
You can eliminate fractions by multiplying the whole thing by 7.
... -x +28 ≥ 21x
Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.
... 28 ≥ 22x
... 28/22 ≥ x
This fraction can be reduced, so we have ...
... A. x ≤ 14/11
One coin weighs 11 grams. How many grams do 10 coins weigh?
Answer:
110
Step-by-step explanation:
why does an angle that is supplementary to an acute angle have to be obtuse
This is because the total needs to be equal to 180 degrees. Since obtuse angles are greater than 90 degrees, then it needs an acute angle (lower than 90 degrees) to supplement it to equal 180
Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years? If x represents Harry's age now, then which of the following equations could be used to solve the problem? 5(7x + 6) = x + 6 7x = 5x + 6 7x + 6 = 5 (x + 6)
Answer:
7x+6 = 5(x+6)
Step-by-step explanation:
x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)
In 6 years, Harry's age will be x+6.
In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...
... 7x+6 = 5(x+6)
_____
Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).
Answer:
Its D) aka the last option
Step-by-step explanation:
What is the inverse of the functionf(x)=2x+1
x = 2x + 1
x - 2x = 1
-x = 1
x = -1
Solution :
Given , function[tex]f(x) = 2x+1[/tex]
we have to find the inverse of the function f(x)
Substitute y for f(x): [tex] y=2x+1[/tex]
Subtract 1 from both sides, [tex]y-1=2x+1-1[/tex]
Divide both sides by 2, [tex]\frac{y-1}{2} = x[/tex]
[tex]\Rightarrow x=\frac{y-1}{2}[/tex]
Substitute [tex]f^{-1}(y)\:for\:x [/tex][tex]\RIghtarrow f^{-1}(y)=\frac{y-1}{2}[/tex]
Hence, The inverse of the function [tex]f(x)=2x+1\:is f^{-1}(y)=\frac{y-1}{2}[/tex]
Writing two column proofs
Given: BC bisects. ABD M ABD =52° prove: mABC=26°
An angle bisector divides the angle into equal halves.
Given that:
[tex]\angle ABD = 52^o[/tex]
From the question, we understand that:
BC bisects [tex]\angle ABD[/tex]
This means that:
[tex]\angle ABD = 2 \times \angle ABC[/tex] ---- By definition of midpoint
So, we have:
[tex]52^o= 2 \times \angle ABC[/tex] ---- By substitution property
Divide both sides by 2
[tex]26^o= \angle ABC[/tex] ---- By division property of equality
So, we have:
[tex]\angle ABC = 26^o[/tex] --- By symmetric property of equality
Hence,
[tex]\angle ABC = 26^o[/tex] --- proved
Read more about angle bisection at:
https://brainly.com/question/1921910
To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles.
Explanation:To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles. Here is a step-by-step proof:
Given: BC bisects ∠ABD (angle bisector)m∠ABD = 52° (given)From the angle bisector theorem, we know that m∠ABC = m∠CBD (angles formed by the angle bisector are congruent)Therefore, m∠ABC = m∠CBD = 26° (since m∠ABD = 52°)Therefore, we have proven that m∠ABC = 26°.
Learn more about Writing two column proofs here:https://brainly.com/question/29223952
#SPJ3
Landau has some nickels,dimes,amd quarters. The number of dimes is 3 more than 7 times the number of nickels. The number of quarters is 4 less than 2 times the number of nickels. The total value of the coin is 330 cents. Write and solve an equation of each type of the coin
This question is one where the numbers don't add up. You should ask your teacher to show you how to work it.
___
Let n, d, q represent the numbers of nickels, dimes, and quarters Landau has, respectively.
... d = 7n +3 . . . . . the number of dimes is 3 more than 7 times the number of nickels
... q = 2n -4 . . . . . the number of quarters is 4 less than 2 times the number of nickels
... 5n +10d +25q = 330 . . . . the total value of the coins is 330 cents
Using the first two equations to substitute into the last one, we get
... 5n +10(7n +3) +25(2n -4) = 330
... 125n -70 = 330 . . . . . . eliminate parentheses, collect terms
... n = 400/125 . . . . . . . . add 70, divide by 125
... n = 3.2
... d = 7·3.2 +3 = 25.4
... q = 2·3.2 -4 = 2.4
Landau has 3.2 nickels, 25.4 dimes, and 2.4 quarters.
Use a model to solve. An average orange weighs 3/5 of a pound. Based on this average, how many oranges are in six pounds of oranges?
In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that they were opposed.
Using this survey as a basis, if 40,000 citizens vote next week, how many are likely to be opposed to the new park? Round to the nearest whole number.
10, 267
the fraction of voters opposed from the survey = [tex]\frac{250}{974}[/tex]
Assuming this fraction as a basis then the predicted number against will be
40, 000 × [tex]\frac{250}{974}[/tex] = 10, 267 ( nearest while number )
Q # 15 please Graph the equation .y = 4x - 3
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
I just need help on number 11
0.57
Step-by-step explanation:Writing a percentage as a decimal is no big mystery. The percent symbol (%) is simply a shorthand way to write "per hundred" or "divided by 100" (/100).
So ...
... 57% = 57/100
You know from place value and the way you read numbers that fifty-seven hundredths written as a decimal is ...
... 0.57
PLZZZZZZZZZZZZZZZZZZZZ HELP IM IN A RUSH
If the answer is not a whole number, it should be entered as a decimal rounded to the hundredths place.
A photograph with a width of 5.5 inches is being enlarged by a factor of 4 1/2 to make a poster.
The new width of the photograph is ________
inches.
Answer:
24.75 i just had this question got it wrong but there's the correct answer
PLEASE ANSWER WILL MARK BRAINLIEST AND GET POINTS (good grammar skills)
PLEASE SHOW ALL WORK!!! THANK YOU VERY MUCH!!! :)
The original price of a car is $3000. What is the new price if the original price is reduced by 10%?
the new price is reduced by 10% of $3000.
10% of $3000 is one tenth of 3000, so 3000/10 = $300
so the original price was reduced by $300 to be $2700
The height of an ostrich is 20 inches more than 4 times the height of a kiwi .if an ostrich is 108 inches rall,how tall is a kiwi
Given: △DMN, DM=10 3 m∠M=75°, m∠N=45° Find: Perimeter of △DMN
Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN
The Perimeter of △DMN is 35.9
First step
sin 45 / 10 = sin 60/ x
x = sin 60 × 10 / sin 45
= √(3)/2 × 10 × 2 / √(2)
= √(3) / 2 × 10 ×√(2)
= 5 × √(6)
Second step
sin 45 / 10 = sin 75 / y
y = sin 75 × 10 / sin 45
= sin 75 × 10 × 2 / √(2)
= sin 75 × 10 ×√(2)
= 13.066054
Now let determine Perimeter of △DMN
Perimeter of △DMN=10 + 5*√(6) + 13.06605425
Perimeter of △DMN= 35.90770275
Perimeter of △DMN=35.9
Inconclusion Perimeter of △DMN is 35.9
Learn more here:
https://brainly.com/question/13406995
Find the circumference of a circle with diameter 7.3 m Use the pi key on your calculator and round your answer to the nearest tenth
Answer:
22.9 m
Step-by-step explanation:
Circumference = π × diameter
Using a calculator to evaluate 7.3π, we get 22.933626...
Rounding this to the nearest tenth gives 22.9. Units are meters.
The circumference of a circle with a diameter of 7.3m is approximately 22.9 meters.
Explanation:The circumference of a circle is calculated by using the formula C = πd, where 'C' is the circumference and 'd' is the diameter. Given that the diameter of the circle is 7.3 m, you can plug this value into the formula to find the circumference.
So, C = π × 7.3
To find the circumference of a circle with diameter 7.3m, we can use the formula C = π x d, where C is the circumference and d is the diameter. Plugging in the given value, we get C = 3.14 x 7.3 = 22.922. Rounding to the nearest tenth, the circumference is approximately 22.9 meters.
Learn more about Circumference of a circle here:https://brainly.com/question/26605972
#SPJ2
Question 3
What is the value of the expression?
4!(7 – 4)!
A.) 5040
B.) 479,001,600
C.) 120,384
D.) 144
4!(7 – 4)! is equivalent to (4!)(3)!
3! = 3*2*1 = 6, and 4! = 4(6) = 24.
Thus, 4!(7 – 4)! = 24(6) = 144
8. When hired at a new job a a salesperson you are given two pay options:
A base salary of $17,000 per year with a commission of 12% of your sales
A base salary of $20,000 per year with a commission of 5% of your sales
How much you need to sell for option A to pay more?
9. When hired at a new job as a salesperson you are given two pay options:
A base salary of $20,000 per year with a commission of 9% of your sales
A base salary of $25,000 per year with a commission of 3% of your sales
How much you need to sell for option A to pay more?
You can write equations for total pay, but in the end, you want to find the amount of sales that makes the difference in commission make up for the difference in base pay.
... (commission rate difference) × sales = (base pay difference)
To find the sales, divide by its coefficient:
... sales = (base pay difference)/(commission rate difference)
8.Sales = (20,000 -17,000)/(.12 -0.05) = 3000/0.07 ≈ 42,857.14
You need to sell more than $42,857.14 for option A to pay more.
9.Sales = (25,000 -20,000)/(.09 -.03) = 5000/0.06 ≈ 83,333.33
You need to sell more than $83,333.33 for option A to pay more.
_____
In each case, total pay is ...
... total pay = (base pay) + (commission rate) × sales
For the two options to give the same total pay, the difference in total pay is zero. That occurs when ...
... 0 = (base pay₁) + (commission rate₁) × sales -((base pay₂) + (commission rate₂) × sales)
... 0 = (base pay₁) - (base pay₂) - sales × ((commission rate₁) -(commission rate₂))
Solving for sales, we get the above result:
... sales = ((base pay₂) -(base pay₁))/((commission rate₁) -(commission rate₂))
Solution 8:
We are given base salary of 17000 and 12% of sales.
Les us say salesperson does sales of x amount.
So 12% of x is 0.12x
Total salary = 17000+0.12x
In second case base salary is $20000 and commission of 5% of sales.
Total salay=20000+0.05x
Now for option A to pay more we have:
[tex]17000+0.12x>20000+0.05x[/tex]
Solving we get:
[tex]0.07x>3000[/tex]
x>42,857
Answer: Option A need to make sales of $42,857 more.
Solution 9:
We are given base salary of 20000 and 9% of sales.
Les us say salesperson does sales of x amount.
So 9% of x is 0.09x
Total salary = 20000+0.09x
In second case base salary is $25000 and commission of 3% of sales.
Total salay=25000+0.03x
Now for option A to pay more we have:
[tex]20000+0.09x>25000+0.03x[/tex]
Solving we get:
[tex]0.06x>5000[/tex]
x>83,333.33
Answer: Option A need to make sales of $83,333.33 more.
HELP PLEASE!!!! 8TH GRADE MATH
1. 12 pages per minute
Estimate then find the sum 169+354
169+354=523 I think thats what you were asking