Happy Holidays! =)
[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]
4x² + 6x = 10
Move 10 to the other side so we can factor the trinomial:
4x² + 6x - 10 = 0
Factor the GCF, or 2 out of the equation:
2(2x² + 3x - 5) = 0
Factor the terms inside of the parenthesis:
2(2x + 5)(x - 1) = 0
Disregard the coefficient of 2 and set each factor equal to 0:
2x + 5 = 0
2x = -5
x = -5/2
x - 1 = 0
x = 1
The values of x are -5/2 and 1.
What is the surface area of the triangular prism
A.328.1
B.352.5
C.658.1
D.251.5
NEED HELP PLEASE 4 QUESTIONS!! PRECALC PLEASE PLEASE
Step-by-step explanation:
Domain of the function (-8, positive infinity)
All of the graphs are correct.
A = 2, B = (2, 1)
The vertical asymptote is x = 3.
I NEED HELP PLZZ ANSWER PLUS GIVE STEPS
Answer:
1. y=-4/3x+9
2. y=-4x+6
Step-by-step explanation:
1.y=-4/3x+b
put in 3,5 into equation
5=-4/3(3)+b
5=-4+b
9=b
so y=-4/3x+9
2. y=4x+b
2=4(-1) +b
2=-4+b
6=b
y=-4x+6
hey guys I really need help and it also asks to give my answer as a decimal!
Answer:
(1,5) is your answer
Step-by-step explanation:
You would have to divide the
2 and 10 by 2 and you would get (1,5)
Hope that help!Have a GREAT day!!
And Brainiest is needed!
Richard bought 3 pounds of bananas for $1.50. A banana weighs about 8 ounces and there are 16 ounces in a pound. At this rate, how many bananas can Richard buy for $5?
Answer:
Richard can buy 20 bananas for $5
Step-by-step explanation:
∵ Richard bought 3 pounds of bananas for $1.50
∵ 1 pound = 16 ounces
∴ 3 pounds = 3 × 16 = 48 ounces
→ That means Richard bought 48 ounces for $1.50
∴ The cost 48 ounces = $1.50
∵ A banana weighs about 8 ounces
→ Let us find 48 ounces equal to how many bananas
∵ 48 ÷ 8 = 6
∴ The 48 ounces are the weighs of 6 bananas
∴ The cost of 6 bananas = $1.50
→ To find how many bananas can he buy by $5, use the ratio method
→ Cost : Banana
→ 1.50 : 6
→ 5 : x
→ By using cross multiplication
∵ 1.50 × x = 5 × 6
∴ 1.50x = 30
→ Divide both sides by 1.50
∴ x = 20
∵ x is the number of bananas
∴ Richard can buy 20 bananas for $5
Write a Proof statement,
Answer:
Step-by-step explanation:
Given:
MO bisects ∠KMN and LO bisects ∠KLN
To prove:
LK ≅ LN
Statements Reasons
1). MO bisects ∠KMN 1). Given
2). LO bisects ∠KLN 2). Given
3). ∠KLM ≅ ∠NLM 3). Definition of angle bisector
4). ∠KMO ≅∠NMO 4). Definition of angle bisector
5). ∠KMO + ∠KML = 180° 5). Linear pair postulate
6). ∠NMO + ∠NML = 180° 6). Linear pair postulate
7). ∠KMO + ∠KML = ∠NMO + ∠NML 7). Transitive property of equality
8). ∠KMO + ∠KML = ∠KMO + ∠NML 8). Substitution property
9). ∠KML = ∠NML 9). Subtraction property of equaity
10). LM ≅ LM 10). Reflexive property
11). ΔLKM ≅ ΔLNM 11). ASA property of congruence
12). LK ≅ LN 12). CPCTC
What is y=x+3
Plz help
Answer:
simplify both sides of the equation and then isolate the variable x=y-3
Hope this helps!
What is the probability of NOT landing on CAT?
Answer:
I believe it would be A, 1/2
What is the difference from the origin to point A graphed on the complex plane below?
Answer:
Origin is applicable for coordinate system. Distances are measured from origin and at a particular point distances are expressed in the form of coordinates.
Step-by-step explanation:
A bouncing ball reaches a height of 27 feet at its first peak 18 feet at its second peak and 12 feet at its third peak Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak
Answer: 8
Step-by-step explanation:
A Geometric sequence can be used:
To Model this sequence you need to use this formula
A (subscript n) = Ar(n-1)
a = value of the first term
n = the # of the term you want to find (For example, if you want to find the term number 3, it is 12)
r = the common ratio, this is obtained by dividing the second term in the sequence by the first.
So the value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
Sample Response:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
HELPP ASAP OR I WILL FAIL PLEASE
Step-by-step explanation:
The given equation is :
[tex]\dfrac{14+10x}{12}=-3[/tex]
Cross multiply,
[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]
This equation will have only one solution.
We can check the solution as follows :
Put x = -5 in LHS of the the given equation.
[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]
= RHS
Hence, this is the required solution.
finding centroid of triangles
Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77
Answer : what do i answer
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
f(3)=-2, f(0)=1
Answer:
The equation of the line in slope-intercept form is y = -x + 1
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept ⇒ value y at x = 0The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)
∴ f(3) = -2 is the point (3, -2)
∴ f(0) = 1 is the point (0, 1)
∴ x1 = 3 and y1 = -2
∴ x2 = 0 and y2 = 1
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the value of y at x = 0
∵ at x = 0, y = 1
∴ b = 1
∴ y = -x + 1
∴ The equation of the line in slope-intercept form is y = -x + 1
What is the measure of angle x?
Enter your answer in the box
102
mZx
315
Answer:
x = 47°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the given angles from 180 for x
x = 180° - (31 + 102)° = 180° - 133° = 47°
A share is sold for the market value of ₹1000. Is the face value of share is ₹100 and brokerage is paid at the rate of 0.1%what is the amount received of the Sale?
hope this will help you
PLSEASE HELP
PLSPLOSLSKSOSKS
Answer:
Number 1
Step-by-step explanation:
Because the absolute Value of A is less then the value of B
Susan bought 12 ounces of candy. How many pounds did she buy?
Show the proportions needed
Answer:
If Susan bought 12 ounces that would equal to .75 pounds
Step-by-step explanation:
Starting at 11:00 pm a bus makes a stop every 27 minutes. Also starting at 11:00pm a taxi makes a stop every 18 minutes. What is the next time there will be a bus and the taxi at the same place and the same time.
Answer:
11:54pm
Step-by-step explanation:
Key details in the Question:
- Starting at 11:00 pm a bus makes a stop every 27 minutes.
- starting at 11:00pm a taxi makes a stop every 18 minutes.
The task is to find the time in which both the bus and taxi would make a stop.
Since the taxi has the shorter duration for a stop, we would use it as the basis for our calculations.
During the first taxi stop - 11:18pm
The Bus has not yet made its stop.
During the second taxi stop - 11:36pm
The Bus has made it's first stop (11:27pm) but is currently on the road.
During the third taxi stop - 11:54pm
The Bus would also be making it's second stop
Mike has 1 over 2. Of a pan of brownies. He will eat 1 over 4. Of it himself, and share the rest. What fractional part of the pan of brownies will Mike eat?
Answer:
1/8
Step-by-step explanation:
Amount of pan of brownies that Mike has = 1/2
Amount he will eat= 1/4 of the amount he has
Amount he will eat = 1/4 of 1/2
Amount he will eat = 1/4×1/2
Amount he will eat = 1/8
Hence he will eat 1/8 of the pan of brownies
find the interest earned on 45,000 at 14% for 8 years
Answer:
$128366.39
Step-by-step explanation:
We will use the Simplified Compound Interest Equation:
P = C(1 + r)^t
P = 45000(1+0.14)^8
P = 45000(1.14)^8
P = 128366.389
So about $128366.39
Answer:
simple
Step-by-step explanation:
45000×14×8/100
5040000/100
=50400
A rectanglehas an aeea of 2/3 square yards. If thewidth of the rectangle is1/2 yardwuat isthelegth
Answer:
4/3 yards
Step-by-step explanation:
Given that:
Area of rectangle = 2/3 yd²
Width = 1/2 yards
The length of the rectangle =?
Let length of rectangle = x
Recall :
Area of rectangle = Length * width
2/3 = x * 1/2
2/3 = x/2
Multiply both sides by 2
2/3 * 2 = x/2 * 2
4 /3 = x
Hence, length of the rectangle = 4/3 yards
Show two methods for finding the quotient :
3/8 divided by 3/4
Answer:
Here's one :)
3 x 4= 12 = 1
8 x 3= 24 = 2
-by-step explanation:
The two methods of finding the quotient are flipping the divisor and then multiplying and the second one is converting the fractions into decimals and dividing them.
What are fractions?Fractions describe the part of something present out of the total amount
We know that the result of diving a fraction by a fraction is the same as multiplying that fraction by the reciprocal of the divisor.
∴ (3/8) ÷ (3/4) is,
= (3/8) × (4/3).
= 4/8.
= 1/2.
The second method is converting the fractions into decimals and then dividing them in a conventional way.
3/8 = 0.375 and 3/4 = 0.75.
∴ 0.375 ÷ 0.75 is,
= 0.5.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ1
Jennifer's grade on a math quiz was a 85%. There were 20 questions on the quiz.
Answer:
She got 16/20 on the test
Step-by-step explanation:
Just divide 16/20 and the answer is 80%
Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph
that they felt best fit the data,
Sylvia's line blank
a line of best fit because her line blank .
Patrick's line blank
a line of best fit blank
as his line blank.
Answer:
The correct options are;
a) Is
b) Passes through the middle of the plotted scatter data points on the graph
b) Is not
e Does not pass through the middle of the plotted scatter data points on the graph
Step-by-step explanation:
Whereby the graph with the line of best fit on the left was drawn by Sylvia and the graph with the line of best fit on the right was drawn by Patrick, we have;
The line of best fit is a line that gives the relationship of the data points within a graph to each other, such that the line of best fit provides an approximation of the data on a graph
The line of best fit is the line that passes through the mid region of all the scatter points within a graph, and closeness of the data points on the scatter plot to the line of best fit, the higher the level of correlation between the line of best fit and the data.
Therefore, we have;
Sylva's line is a line of best fit because her line passes through the middle of the plotted scatter data points on the graph. Patrick's line is not a line of best fit as his line does not pass through the middle of the plotted scatter data points on the graph.
Answer: Sylvia’s line is a line of best fit because her line is close to most of the data points . Patrick’s line is not a line of best fit as his line is not close enough to all the data points .
19. Which graph best represents the solution set of -4x s 6y - 54?
Answer:
I believe the answer is A and I'm sorry if I'm wrong
graph best represents the solution set of -4x <- 6y - 54 graph C. Option C is the correct option.
graph best represents the solution set of -4x < -6y - 54.
Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Since the Question seems to be incomplete, The Correct inequality in the question could be -4x < -6y - 54.
Here, graph C represents the inequality. Because y-intercept is y = -9
and the x-intercept for the inequality is x = 13.5. And it's below shaded and no boundary element can be included because of < sign.
Thus, the graph best represents the solution set of -4x < -6y - 54 graph C. Option C is the correct option.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ6
The question given is incomplete, Answer is correct for the solution is based on the assumed data mentioned in the question.
In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5?
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
LITTLE HELP HERE PEOPLE BTW IF UR RIGHT BRAINLIST IT IS........
The formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base, I hope this helps.
God bless :)
Answer:
105
Step-by-step explanation:
7×5×3=105 5×3=15. 15×7=105
My teacher can grade 25 homework assignments in 20 minutes. Is she working at a faster rate or slower rate than Ms. Jones, who is grading 36 homework assignments in 30 minutes?
Answer:
Ms.Jones is faster
Step-by-step explanation:
131 - u = 196
Solve for u
Answer:
u=-65
Step-by-step explanation:
131-(-65)=196
