Answer:
An ordered pair
Step-by-step explanation:
Evaluate
|15 - 23 | =
Answer:
8
Step-by-step explanation:
[tex] |15 - 23| = | - 8| = 8[/tex]
write a linear function f with the values f(-2)=8 and f(1)=-10
Answer:
The linear function f(x) = -6x - 4
Step-by-step explanation:
The equation of the linear function f(x) is y = m x + b, where
y = f(x)m is the slope of the line represents the functionb 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(-2) = 8 is the point (-2, 8)
∴ f(1) = -10 is the point (1, -10)
∴ x1 = -2 and y1 = 8
∴ x2 = 1 and y2 = -10
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-10-8}{1--2}[/tex] = [tex]\frac{-18}{1+2}[/tex] = [tex]\frac{-18}{3}[/tex]
∴ m = -6
→ Substitute it in the form of the equation above
∵ y = -6(x) + b
∴ y = -6x + b
→ To find b substitute x by 1 and y by -10
∵ x = 1, y = -10
∴ -10 = -6(1) + b
∴ -10 = -6 + b
→ Add 6 to both sides
∵ -10 + 6 = -6 + 6 + b
∴ -4 = b
∴ b = -4
→ Substitute it in the equation
∴ y = -6x + -4
∴ y = -6x - 4
∵ y = f(x)
∴ The linear function f(x) = -6x - 4
WILL MARK BRAINLIEST
One side of a triangle is twice as long as a second side. The remaining side is 3 larger than the second side. The perimeter is 39m. Find the length of each side.
Answer:
Lengths all the three sides are 9m, 18m and 12m
Step-by-step explanation:
Let us assume the length of the second side to be x m
According to the question:
first side = 2x
third side = x + 3
Applying the formula of perimeter:
Perimeter = length + breadth + height
39 = 2x + x + (x + 3)
39 = 2x + x + x + 3
39 = 4x + 3
39 - 3 = 4x
4x = 36
x = [tex]\frac{36}{4}[/tex]
x = 9
length of the first side (x) = 9 m
length of the second side (2x) =2 × 9 =18 m
length of the third side (x + 3) = 9 + 3 = 12 m
∴ lengths all the three sides are 9m, 18m and 12m
Helppppppppppppppppppppppppppp
Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1 Quadrant II Quadrant II Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think
Please help!!! Thank you!
Answer:
<6, <4,
Step-by-step explanation:
Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.
Hope this helps!
The ratio of the number of red cards to the number of black cards in a deck is 3:10
2 more cards are added to the deck.
The ratio of red to black cards in the deck is now 1:3
How many black cards are in the deck?
Answer:
Then the black cards=12
Step-by-step explanation:
N of red=3
N of black=10
and we have ratio 3:10
think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3
⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3
⇒add 2 to black, the ratio will be 3:12 = 1:3
Then the black cards=12
hope this helps!
Answer:
Either
(1) there were originally 60 black cards, and 2 red cards were added, or
(2) there were originally 20 black cards, and 1 red card and 1 black card were added.
Step-by-step explanation:
The ratio of red cards to black cards is 3:10.
Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as
3k/10k
After adding 2 cards, the ratio of red cards to black cards becomes 1:3.
There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.
Possibility A: add two red cards
(3k + 2)/(10k) = 1/3
10k = 9k + 6
k = 6
3k/10k = 3(6) / 10(6) = 18/60
There were originally 60 black cards.
Possibility B: add 1 red card and 1 black card
(3k + 1)/(10k + 1) = 1/3
10k + 1 = 9k + 3
k = 2
3k/10k = 3(2) / 10(2) = 6/20
There were originally 20 black cards.
Possibility C: add two black cards.
(3k)/(10k + 2) = 1/3
10k + 2 = 9k
k = -2
3k/10k = 3(-2) / 10(-2) = -6 / -20
We cannot have a negative number of cards.
No solution.
Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.
Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
A.
r=130−2.5
B.
130=r2.5
C.
r=1302.5
D.
130=r+2.5
PLEASE HELP! ITS FOR A TEST!!
Answer:
B
Step-by-step explanation:
It's B my guy
Answer:
B.)
Step-by-step explanation:
r= 130/2.5
130=r2.5
it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.
Rewrite the expression using the division symbol and as a fraction. The quotient of m and 11
M÷11 M/11
Step-by-step explanation:
when you find the quotient you divide so when you divide with a fraction you take what number you were given first and out it on top of the number you were given second
Draw a graph that represents y=3x+2
Answer:
See drawing below.
Step-by-step explanation:
use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.
plot points
(-1, -1)
(0, 2)
(1, 5)
Please give thanks :)
What is the slope of a line perpendicular to the line whose equation is 6x-15y=270
Answer:
m= -2 1/2
Step-by-step explanation:
First, let's put the equation into slope intercept form.
6x-15y=270
-15y=-6x+270
y=6/15x+270
For two lines to be perpendicular, their slopes must be opposite reciprocals.
m=-15/6 or m= -2 1/2
Answer:
slope = - [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x - 15y = 270 ( subtract 6x from both sides )
- 15y = - 6x + 270 ( divide all terms by - 15 )
y = [tex]\frac{-6}{-15}[/tex] x - 18, that is
y = [tex]\frac{2}{5}[/tex] x - 18 ← in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex]
A group of 5 friends want to buy a flat-screen TV for $210. The tax comes to $15. Write and solve a multiplication equation to find how much money each person should pay if each person pays the same amount.
Answer:
$45
Step-by-step explanation:
In order to create a multiplication equation, we would need to use a single variable that represents the amount that each friend will pay. This can be represented by the variable x. We multiply this variable by the number of friends which should equal the total of the TV with the tax included. Like so...
$210 + $15 = 5x
Now that we have the equation we can go ahead and solve it by adding the total and the tax, and then dividing both sides by 5 in order to isolate x.
$210 + $15 = 5x
$225 = 5x
$45 = x
Finally, we can see that each friend will pay the same amount which is $45
If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
Question 18 options:
A)
an = (1∕3)n – 1 for n ≥ 1
B)
an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1
C)
an = (3) ⋅ (1∕3)n – 1 for n ≥ 1
D)
an = (3) ⋅ (3)n – 1 for n ≥ 1
Answer:
B
Step-by-step explanation:
Simplify and solve the equation 1/3x+3=4
Answer:
X = 1/3
Step-by-step explanation:
Multiply all terms by x and cancel:
1
3
+3x=4x
3x+
1
3
=4x(Simplify both sides of the equation)
3x+
1
3
−4x=4x−4x(Subtract 4x from both sides)
−x+
1
3
=0
−x+
1
3
−
1
3
=0−
1
3
(Subtract 1/3 from both sides)
−x=
−1
3
−x
−1
=
−1
3
−1
(Divide both sides by -1)
x = 1 /3
Check answers. (Plug them in to make sure they work.)
x = 1 /3
(Works in original equation)
A banks loan officer writes applications for credit the ratings are normally distributed with a mean of 200 and a standard deviation of 50 fine P 60 the score which separates the lower 60% from the top 40% round to 1 Decimal Pl.
Answer:
212.7
Step-by-step explanation:
Calculation to Find P60 the score which separates the lower 60% from the top 40%
First step is to find z of 60% using the invNorm distribution
Hence,
z=0.6=0.2533
Now let Find P60 which is the score which separates the lower 60% from the top 40% using this formula
x<=>z
Where,
Standard deviation=50
Mean=200
z=0.2533
Let plug in the formula
x=0.2533*50+200
x=12.665+200
x=212.665
x=212.7(Approximately)
Therefore the score which separates the lower 60% from the top 40% is 212.7
I need help with this proof!
Answer:
Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.
Step-by-step explanation:
Michelle ordered shirts to sell at the school carnival. She paid $2.80 per shirt, she adds a
150% markup to the total price she paid for the shirts.
What is the selling price of each shirt?
PLEASE HELP!! Any help will be greatly appreciated!
Answer:
The selling price is $7
Step-by-step explanation:
Step one:
Given information
She paid $2.80 per shirt
She adds a 150% markup to the total price she paid for the shirts
Let us find 150% of $2.80
=150/100*2.8
=1.5*2.8
=$4.2
Hence the selling price is the markup price plus the cost price
=4.2+2.8
=$7
Drake needs to drill holes in a wooden plank. The holes will have a diameter of 0.5 millimeters, with an error allowance of 0.05 millimeters. Which equation can be used to find the minimum and maximum acceptable diameters?
Answer:
|x − 0.5| = 0.05
Step-by-step explanation:
Here x represents the diameter,
Since, an error of 0.05 millimeters is allowance in diameter,
Thus, the maximum acceptable diameter = x + 0.05,
And, the minimum acceptable diameter = x - 0.05
According to the question,
The holes will have a diameter of 0.5 millimeters,
Thus, x - 0.05 < 0.5 and 0.5 < x + 0.05
⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05
⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05
⇒ |x-0.5| < 0.05
⇒ Option D is correct.
1 1/3 TIMES 2 3/4 =
ANSWER ASAPPPP
EXPLAIN STEP BY STEP
Answer:
1/2
Step-by-step explanation:
Calculator :)
5x - 2y = 33
5x + 8y = 18
Solve the simultaneous equations.
x=__
y=__
Answer:
x=6
y=-3/2
Hope this helps
SOMEONE PLEASE HELP ME I WILL GIVE BRAINLY
Answer:
answer is B
Step-by-step explanation:
What else would need to be congruent to show that ABC PQR by SSS?
Given
———-
AC=PR
BC=QR
A. AB=BA
B. AB=PQ
C. AC=PQ
D. A=P
A n s w e r :
B. AB = PQ
The condition which satisfy the congruency of the given triangle is
BC≈QR.
What is congruency of triangles?Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'
here, we have,
from the given information, we get,
To show that triangle ABC ≈ triangle PQR by SSS,
In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.
Given, AC≅PR, AB≅PQ.
The another one condition is BC≅QR.
Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.
Learn more about congruency of triangles here:
brainly.com/question/30094434
#SPJ7
A grocery store recently sold several cans of soup.
32
split pea
black bean
minestrone
mm
vegetable beef 3
lentil
21
What is the experimental probability that the next can sold will be lentil soup?
Write your answer as a fraction or whole number.
P(lentil) =
Submit
don't know this
Answer:
21/60
Step-by-step explanation:
32 + 1 + 3 + 3 + 21 = 60
ans = 21/60
Answer:
Step-by-step explanation:
21/60
what method is this?
Find mc when quadrilateral ABCD is a parallelogram.
Answer:
A
Step-by-step explanation:
The opposite angles in a parallelogram are congruent, thus
∠ C = ∠ A = 57°
When graphing on the complex plane , which quadrant will the complex number 10 - 13i be found in ?
Answer:
The complex number would be in the 4th quadrant.
Step-by-step explanation:
We know that a complex number is a number that can be expressed in the form of a + bi,
where
'[tex]a[/tex]' and b are real numbers, and '[tex]i[/tex] represents the imaginary unitGiven the complex number
10 - 13i
Here,
Coefficient of the real part of the complex number = 10Coefficient of the imaginary part of complex number = -13As the coefficient of the imaginary part holds a negative sign, and the real part holds a positive sign.
Thus, the complex number would be in the 4th quadrant.
2x+7y=3
X= -4y
X=?
Y=?
Answer:
x=12, y=-3
Step-by-step explanation:
Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.
Please I really need help
Answer:
Extreme fitness: y=10x+50
Ultimate fitness:y=15x+30
Step-by-step explanation:
Which table represents a linear function?
Answer:
the bottom table (1,-5)
Step-by-step explanation:
the equation is y=5x-10
the equation has no multiple powers involved like cubed or squared
Please help!!!
Find the value of x for which l || m.
Answer:
i can't see the pic clearly
Step-by-step explanation: