Answer:
D is the correct answer
Step-by-step explanation:
Answer:
B. 13/2Step-by-step explanation:
Given equation:
2x² + 7x - 15 = 0It has roots r and s.
We know how to find the sum and product of roots.
Sum of roots:
r + s = -7/2Product of roots:
rs = -15/2Use the above two equations to work out the value of r - s:
[tex]r - s = \sqrt{(r - s)^2} =[/tex][tex]\sqrt{(r+s)^2-4rs} =[/tex][tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex][tex]\sqrt{169/4} =13/2[/tex]Correct choice is B
12 Times the product of 43 and a number B
Answer: 12*(43*B)
Step-by-step explanation:
12*(43*B)
Decrease £5480 by 10%
Step-by-step explanation:
the currency does not matter (only if we get into any fractions of the main unit and have to name the fractions properly). % is usually about the number itself.
so,
5480 = 100%
1% = 100%/100 = 5480/100 = 54.8
10% = 1% × 10 = 54.8×10 = 548
and so,
£5480 - 10% = 5480 - 548 = £4932
if course, because of the special number 10% we could have gotten the answer faster, but I wanted to show you the full line of thinking when dealing with %. and needed when the number is not so nice.
Find the slope of each line of the graphs to the right. Which graph has the greater slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.
Answer:
Line 2
Step-by-step explanation:
line one's slope is one and line 2 is 3
Answer:
Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.
Step-by-step explanation:
Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope
Write an equation for a line with a slope of (-2) and the point (5,9)
Answer:
2x+y-19=0
Step-by-step explanation:
Slope = -2
The line passes through the points (5,9)
The equation of the line is
y-9 = -2(x-5) (Gradient and 1 point form)
y-9 = -2x+10
2x+y-19 = 0
how do you solve this
Answer:
See below:
Step-by-step explanation:
So, the first step to solving the problem is to find out what type of triangle it is
and what rule of goemetry we can use to solve it.
Finding What Theorem We Can Use
So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.
One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:
[tex]<ABC= <ACB[/tex]
Since we know this rule, we can solve for the equation.
Solving
We can solve for this by using two things that we know:
+ Sum of all angles in a triangle is 180 degrees.
+ Bottom two sides are congruent.
Since we know that, we can solve for the answer:
[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]
After solving, we know that x is 50 degrees!
Cheers!
(Feel free to comment a question if you didn't understand something!)
Find the least common denominator between the two fractions 2/3 and 3/5
Answer:
15 is the least common denominator between the two fractions
what is the correct answer?!!
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What is 2 raised to the fourth power?
Answer:
16
Step-by-step explanation:
2x2x2x2 = 16
if someone would me it would meaqn alott
Answer:
ration of bream to tench to carp
12: 7: 21
Step-by-step explanation:
12/40 = bream
28/40 = not bream
(28/40) x (1/4) = tench
(28/40) x (3/4) = carp
tench = (28/40) x (1/4)
= 7/40
carp = (28/40) x (3/4)
= 21/40
ration of bream to tench to carp
12: 7: 21
Answer:
12:7:21
Step-by-step explanation:
If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).
solve for x 10 points
3 1/5−1/4x=−4/5
3⅕ - ¼x = -⅘
-¼x = -⅘ - 3⅕
-¼x = -4 / · (-4)
x = 16
Choose the graph that matches the inequality –x + y ≥ 2
Answer:
D
Step-by-step explanation:
-x + y >= 2
first of all, it means it includes the line (the "=" part).
that eliminates B and C.
then just look at the line function itself :
-x + y = 2
y = x + 2
and now
y >= x + 2
so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.
The required graph has been attached below which represents the given inequality –x + y ≥ 2. which is the correct answer that would be an option (D).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question below as
–x + y ≥ 2
First and foremost, it signifies that it includes the line (the "=" element).
This rules out B and C.
Then evaluate the line function itself:
-x + y = 2
y = x + 2
and now
y ≥ x + 2
As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.
Thus, the required graph has been attached below which represents the given inequality –x + y ≥ 2.
Hence, the correct answer would be an option (D).
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
6-3b-6= -15
i need help asappl
Hello there!
6-3b-6=-15
-3b=15+6-6
-3b=15
b=-3
Hope it helps you!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
b=5
Step-by-step explanation:
6-3b-6=-15
-3b=-15
3b=15
b=15÷3
=5
Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the volleyball team this year?
Answer:
22
Step-by-step explanation:
10% of 20 is 2, so when you add the previous amount and the percentage you end up with 22
6x + 13 = 12x - 20 solutions
Answer:
6x + 13 = 12x - 20
Step-by-step explanation:
6x + 13 = 12x - 20
-
Which equation represents a line which is parallel to the line 7y - 4x = -14?
Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3
Evaluate the expression for p = 2.4 and q = 8.
Write your answer as a decimal or whole number.
pq =
Answer:19.2
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
pq is the same as p x q.
then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number
A rectangle has a length that is 4 inches longer than it’s width .its perimeter is 36 inches which of the following is its area
54
64
77
81
Answer:
Area=77
Step-by-step explanation:
P=36
P=2l+2w
l=w+4
P=2(w+4)+2w
P=2w+8+2w
P=4w+8
36=4w+8
28=4w
w=7
l=7+4
l=11
A=lw
A=77
Given minimum and maximum data entries and the number of classes min = 75, max = 280, 10 classes. Write the first five lower class limit.
The lower class limit is simply the least data element that can enter a class.
The first five lower class limits are: 75 , 96, 117, 138 and 159
The given parameters are:
[tex]\mathbf{Min = 75}[/tex]
[tex]\mathbf{Max = 280}[/tex]
[tex]\mathbf{Class = 10}[/tex]
Calculate the range
[tex]\mathbf{Range = Max - Min}[/tex]
[tex]\mathbf{Range = 280 - 75}[/tex]
[tex]\mathbf{Range = 205}[/tex]
Divide by the number of classes, to determine the class width
[tex]\mathbf{n =\frac{205}{10}}[/tex]
[tex]\mathbf{n =20.5}[/tex]
Approximate
[tex]\mathbf{n =21}[/tex]
So, the lower limits are:
[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]
[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]
Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159
Read more about lower class limits at:
https://brainly.com/question/7949481
Write the following fractions in descending order:
7
2
,
2
8
,
5
4
, and 9
4
5. Simplify:
a.
1
8
+ 5
12
+ 5
6
b. 4
3
5
+ 2
7
10
c. 2 -
3
8
Answer:
a
Step-by-step explanation:
what would the answer be need help
Answer:
The equation would change to be f(x) = 12x + 50
Step-by-step explanation:
The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.
This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.
Thus, your new equation will be f(x) = 12x + 50
sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?
Answer:
$243
Step-by-step explanation:
what is the equation of the trend line in the scatter plot
Answer: y = -x + 8
When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)
Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?
Answer:
$961.93
Step-by-step explanation:
7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
help loll i need an 100
Answer:
-4 (as - and + = -)
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Can Someone please help me with this Math homework? Please respond ASAP
Could somebody help me with this problem
Answer:
72.8 cm³
Step-by-step explanation:
The relevant formula is ...
V = Bh
Using the given values, you find the volume to be ...
V = (10.4 cm²)(7 cm) = 72.8 cm³
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?
Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km
Step-by-step explanation:
so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.
d = 8km/h × 2h = 16km
Serena ran 16km in these 2 hours.
Answer:
the correct answer is 16km
Step-by-step explanation:
pl.z dont delete this
Write the linear equation in slope-intercept form and simplify.
–4x + 13y = 7
[tex]\\ \sf\longmapsto -4x+13y=7[/tex]
[tex]\\ \sf\longmapsto 13y=4x+7[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{4x+7}{13}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}[/tex]
i need help asap pls & ty
Answer:
solution : 2f+2g
Step-by-step explanation:
(f+g)(2)=
multiply each term in the parentheses by 2.
= 2f+2g
I hope tama