Answer:
m >-7
Step-by-step explanation:
Answer:
[tex]m>-7[/tex]
Step-by-step explanation:
This is an equation that shows a number m is more than -7.
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches. Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? Y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
Given:
The railing will begin at a height of 36 inches.
Height decreases 9 inches for every 12 horizontal inches.
To find:
The function for this situation.
Solution:
Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.
Initial height = 36
So, y-intercept is 36.
Height decreases 9 inches for every 12 horizontal inches. So,
[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]
[tex]m=\dfrac{-9}{12}[/tex]
[tex]m=-\dfrac{3}{4}[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.
[tex]y=-\dfrac{3}{4}x+36[/tex]
The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?
y = –StartFraction 3 Over 4 EndFractionx + 36
y = –3x + 36
y = StartFraction 3 Over 4 EndFractionx + 36
y = 3x + 36
3
10. -16 - 7(2a + 3) = 23 - 2a
Answer:
a=-1.5 (lmk if im incorrect)
Step-by-step explanation:
-16 - 7(2a + 3) = 23 - 2a
-16-(14a+21)=23-2a
5-14a=23-2a
5=23+12a
-18=12a
-18/12 is -1.5
a=-1.5
what is 1/4 as a negative exponent
Answer:
1/4 = 1/2² = 2^-2
Step-by-step explanation:
1/4 can be expressed as a negative exponent is 4⁻¹
What is the negative exponent rule?A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³
Given here, 1/4 thus it can be expressed as 4⁻¹
Hence, 1/4 can be expressed as a negative exponent is 4⁻¹
Learn more about exponents here:
https://brainly.com/question/5497425
#SPJ2
Make a Math expression for each of these
$50 per day and $0.25 a mile
$40 per day and $0.30 a mile
what's 9 + 10 ??? please help
Answer:
19
Step-by-step explanation:
Answer:19
Step-by-step explanation:
Developing Proof Complete this paragraph proof of Theorem 3-6. If two lines and a transversal form supplementary same-side interior angles, then the two lines are parallel. Given: 21 and 22 are supplementary. C Prove: € || m Proof: 22 is a supplement of a. *? and 23 is a supplement of b. ?.Since supplements of the same angle are congruent, c. ? = d.? , Since 22 and 23 are also corresponding angles, é || m by the e. ? Postulate. 3 2 6.
Answer:
Step-by-step explanation:
Given:
∠1 and ∠2 are supplementary.
To prove:
l║m
Proof:
∠2 is a supplement of a. ∠1 (Given)
∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]
Since supplements of the same angle are congruent,
c. ∠1 ≅ d. ∠2
Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.
i need help with
If x = 5, find the value of LaTeX: 16-x16 − x
Answer:
-69
Step-by-step explanation:
16-(5)(16)-(5)
16x5=80
16-80-5
16-80=-64
-64-5=-69
3y + 6 - y
Please help me
Answer:
2y+6
Step-by-step explanation:
3y+6-y
2y+6
Answer:
2y+6
Step-by-step explanation:
If you are simplifying, combine like terms
3y-y=2y
Why does the government charge high taxes on gasoline?
Answer:
Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.
Step-by-step explanation:
Mark me brainliest
Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.
Which table has a constant of proportionality between y and x of 1/5?
Answer:
5
Step-by-step explanation:
quadratic equation
4x2 + 6x = 0
Answer:
x = -4 / 3
Step-by-step explanation:
step 1. simplify 4x2 to 8
8+6x=0
step 2. subtract 8 from both sides.
6x = -8
step 3. divide in both sides by 6.
x = - 8 / 6
step 4. simplify 8/6 to 4/3.
x = -4 / 3
PLEASE HELPP!!!!!!!!
Answer:
2800, 320
350, 40
2800+320+350+40=3510
Step-by-step explanation:
(40*70)+(40*8)+(5*70)+(5*8)
at what position on the number line is the red dot located?
Answer:
D. Square root of 18
Step-by-step explanation:
The square root of 10 is 3.16.
The square root of 12 is 3.46.
The square root of 24 is 4.90.
The square root of 18 is 4.24.
The red dot is on 4.25 so your answer is the square root of 18.
Will you please mark me brainliest?
A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A
Answer:
[tex]\angle A=17\textdegree[/tex]
Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:
[tex]\angle A+\angle B=90[/tex]
Since we know their equations, substitute:
[tex](x+8)+(8x+1)=90[/tex]
Solve for x. Combine like terms on the left:
[tex]9x+9=90[/tex]
Subtract 9 from both sides:
[tex]9x=81[/tex]
Divide both sides by 9:
[tex]x=9[/tex]
So, the value of x is 9.
We want to find A. So, let's use the equation for A:
[tex]\angle A=x+8[/tex]
Substitute 9 for x:
[tex]\angle A=9+8[/tex]
Add:
[tex]\angle A=17\textdegree[/tex]
So, the measure of A is 17°.
Evaluate f(x) = -3x+3 for x=-2
Answer:
9
Step-by-step explanation:
-3*-2 is 6+3 is 9
2 negatives equal a positive when multiplying or dividing
The answer fam is.....9
Booster club sell tickets to Saturday's basketball tournament admission with student ID was two dollars per person regular admission is five dollars the booster club sold 120 student tickets and 50 regular tickets how much money did the booster club click show all the work necessary to justify your answer
Answer:
170 Tickets were sold and 490$ was made
Step-by-step explanation:
to find how many tickets were sold add 120 + 50 to get 170
For how much they made Multiply 120 X 2 to get 240
Then, Multiply 5 x 50 to get 250
Add 240 + 250 and your answer will be 490$
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
6(2(5)-4)
6(10-4)
6(6)
=36
You plug in the variable value, then solve :)
Answer:
The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation:
Which expression is equivalent to the expression shown?
4² x 4⁴
Answer:
Answer: 4⁵ x 10⁴
Step-by-step explanation:
= 10⁴ * 4¹⁰⁻⁵
= 10⁴ * 4⁵
= 4⁵ x 10⁴
Answer:
4^6
Step-by-step explanation:
U add the exponents and keep the base the same
1/6+3/4 what is the answer
Answer:
11/12
Step-by-step explanation:
A square has a diagonal that measures 18 inches. To the nearest tenth, what is the length of one side
of the square?
Answer:
18/sqrt(2)
Step-by-step explanation:
Divide the square into two congruent right triangles:
a and b are the sides of the triangle
since we know that a=b
then the right triangle is isosceles
meaning that the theorem of the 45-45-90 triangle is applicable
so then we can say that 18/sqrt(2) = a = b
X2 (6x+ 1) (3x-9) = 0
Answer:
x = 0, [tex]-\frac{1}{6}[/tex], 3
Step-by-step explanation:
Hey there!
Step 1: Regroup terms.
2x(6x + 1) (3x - 9) = 0
Step 2: Solve for x.
x = 0, [tex]-\frac{1}{6}[/tex], 3
~I hope I helped you! :)~
At the San Diego zoo you can either pay $22.75 for the entrance fee or $71 for the yearly pass which entitles you to unlimited admission. At most how many times can you enter the zoo for the $22.75 entrance fee before spending more than the cost of a yearly membership? Write and solve an inequality
Answer:
3
Step-by-step explanation:
3x22.75=68.25 or less than the yearly pass
(LOTS OF POINTS)
SOLVE THIS IMAGINARY NUMBER PROBLEM AND *SHOW WORK* PLEASE!
Answer:
The answer is 8.
Step-by-step explanation:
help plssssssss! asap
What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?
Answer:
y = − 6 x + 7
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
which is bigger 7/9 or 5/6
Answer:
5/6
Step-by-step explanation:
7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9
5/6 is greater than 7/9
What is a fraction?A common fraction is a numeral which represents a rational number. For example 2/3
Given here, 7/9 and 5/6 now 7/9 = 0.777 and 5/6= 0.833
Thus clearly 5/6 >7/9
Hence, 5/6 is greater than 7/9
Learn more about fractions here:
https://brainly.com/question/29264210
#SPJ2
R={(x,y)} y=2x:x€{1,2,3}
Answer:
Question is wrong dear
A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of 1 cm to 500 m. She ran a trail that was 40 cm long on her old map. How long is this trail on her new map?
PLEASE ANSWER
Answer:
The trail on her new map is 8 cm
Step-by-step explanation:
Here, we are interested in knowing the the length of the trail on the new map.
The scale on her old map is 1 cm represents 100 m
While her new map has a scale of 1 cm to 500 m
Now, running a trail of 40 cm on her old map, we need to get the actual distance.
The actual distance will be 40 * 100 = 4,000 m
Now, we shall convert this to the new map scale
We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m
That would be 4,000/500 = 8 cm
So the trail on her new map is 8 cm
Answer:
The actual distance will be 40 * 100 = 4,000 m
Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm
You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?
Answer:
25/102
Step-by-step explanation:
P(red) = 26/52 = 1/2
P(red after red) = 25/51
1/2 * 25/51 = 25/102
Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Answer:
The equation –3y = 15 – 4x rewritten in slope-intercept form is
✔ y = (4/3)x – 5
.
The y-intercept is
✔ –5
and the slope of the line is
✔ 4/3
.
Line
✔ B
is the graph of the line –3y = 15 – 4x.
Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]
Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]
y-intercept is -5.
Slope of the line is [tex]\frac{4}{3}[/tex].
What is linear equation?" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."
Formula used
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Slope intercept form y=mx +c
c = y-intercept
m = slope
According to the question,
Given linear equation,
[tex]-3y = 15-4x[/tex]
Convert the given linear equation in slope intercept form we get,
[tex]y = \frac{4}{3}x-5[/tex]
Compare it with the formula we get,
Slope 'm' = [tex]\frac{4}{3}[/tex]
y-intercept = -5
From the diagram we can have coordinates of line B
[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]
Substitute the value to get slope of line B,
Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]
[tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]
From the diagram y-intercept for line B is -5.
Equation of line B
[tex]y = \frac{4}{3}x-5[/tex]
Hence, slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ2