Question 11 of 25
If the point (1, 4) is on the graph of an equation, which statement
must be true?
A. There are solutions to the equation for the values x = 1 and
x = 4.
B. The values x = 1 and y = 4 are the only values that make the
equation true.
C. The values x = 4 and y= 1 make the equation true.
D. The values x = 1 and y = 4 make the equation true.
SUBMIT
Answer:
D
Step-by-step explanation:
simple : when we have a point defined as (1, 4), it means x = 1, y = 4.
and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.
but there will be usually many other pairs that do that too.
Rewrite the expression with rational exponents as a radical expression.
4 times x to the three sevenths power
Answer:
[tex]\displaystyle 4\sqrt[7]{x^3}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 4x^\bigg{\frac{3}{7}}[/tex]
Step 2: Rewrite
Split: [tex]\displaystyle 4(x^\bigg{\frac{1}{7}})^3[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle 4\sqrt[7]{x^3}[/tex]Analyze the problem and complete the statements.
t-7 = 8
I know this problem is an
because it has an equals sign.
The t is the
The negative sign is the
The 7 and the 8 are both
Answer:
I know this problem is an
✔ equation
because it has an equals sign.
The t is the
✔ variable
.
The negative sign is the
✔ operation
.
The 7 and the 8 are both
✔ constants
.
Step-by-step explanation: i took the test :( crying cuz im bouta fail
PLEASE ANSWER ASAP
Write an inequality and show on a number line all numbers: greater than (-3) but less than or equal to 3
Answer:
The inequality is -3<x<3
Step-by-step explanation:
(-3,3)
Use the special angles to evaluate: a) cosec 60° cot 30° + cos 45º cosec 45° 2
Answer:
the required answer is 4√2+1/2√2
The lengths of two sides of a triangle are 11 cm and 19 cm. Identify the range of possible lengths for the third side.
Answer:
2nd option
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
19 - 11 < x < 19 + 11
8 < x < 30
Answer:
8 < x < 30
Step-by-step explanation:
The rule for side lengths of a triangle is:
the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :
19 - 11 < x < 19 + 11
8 < x < 30
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answer:
Step-by-step explanation:
For the given functions f and g , find the indicated composition. F(x) = -5x + 4, g(x) = 4x + 6 (g∘f)(x)
Answer:
(g∘f)(x) = -20x + 22
Step-by-step explanation:
(g∘f)(x) simply means g(f(x))
We are given;
f(x) = -5x + 4
g(x) = 4x + 6
Thus;
(g∘f)(x) = 4(-5x + 4) + 6
(g∘f)(x) = -20x + 16 + 6
(g∘f)(x) = -20x + 22
Place parentheses in the following equation to make it true.
6+6/6x6-6= 0
Answer: (6+6/6)*(6-6)= 0
Evaluate f(x) when x = 3.
Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.
Answer:
3.24 kg
Step-by-step explanation:
internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs
external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs
Vol of thickness = 8160 - 7080 = 1080cm^3
Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg
What is the value of x in the diagram below?
X + 2
8.
х
Answer:
15
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +8^2=(x+2)^2[/tex]
we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.
[tex](x+2)(x+2)=x^2+4x+4[/tex]
We have
[tex]x^2+64=x^2+4x+4[/tex]
We can subtract x squared plus four from both sides to get
[tex]60=4x[/tex]
Dividing by 4, we get [tex]x=15[/tex]
Answer:x=15
Step-by-step explanation:
remember the Pythagorean Theraum(sorry about spelling)
a^2 +b^2=c^2
the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.
currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8
8x8=64
64+x^2=(x+2)^2
try solving it now.
64+15^2=(15+2)^2
289=289
So, x=15
Demonstrate on the whiteboard how to find the center and radius of a circle using an equation.
Answer:
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Please help me: -3/4(8h + 12) = 3(n - 3)
Answer:
n = 0
Step-by-step explanation:
[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]
Answer:
n = 0
Step-by-step explanation:
-3/4(8h + 12) = 3(n - 3)
-6h - 9 = 3n - 9
-6h - 3n = -9 + 9
-9n = 0
n = 0
\He wants to buy at least 5 goats. Write down an inequality in x to represent this
Answer:
x≥5
Step-by-step explanation:
If x is the quantity of goats he wants x≥5
Which are the solutions of x2 = –13x – 4?
Answer:
The 3rd dot and 4th dot, you should select to get the correct answer.
Please hurry I will mark you brainliest
Step-by-step explanation:
I think you first have to calculate a°,this can be done by first finding c°
c°=180-125
=55°
opposite angles in a quadrilateral add up to 180
therefore a°=180-55
=125
therefore angle d
180-125
=55
I hope this helps
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
Please help me i will give brainliest!
Answer:
10
Step-by-step explanation:
1x2x2.5=5
5/0.5=10
Answer:
= 40 cubes
Step-by-step explanation:
volume = 2.5×2×1 = 5cm^2
volume of cubes = 0.5×0.5×0.5 = 0.125cm^2
5÷0.125 = 40
= 40 cubes
Joe has four notes in his wallet. The total value of the notes is $75. Which type of note is not in Joe's wallet?
Answer:
$ 20
Step-by-step explanation:
Given that,
No. of notes Joe has = 4
The total value of the notes = $ 75
From the given notes, 4 notes that can make the sum of 75 would be
$ 50 note + $ 10 + $ 10 note + $ 5
= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1
= $ 75
Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
Jeff and his friends win a prize.
Jeff's share is $160 which is ĭ of the prize.
Work out the value of the prize.
Answer:
Prize, P = $352
Step-by-step explanation:
Let Jeff's share be J.Let the value of the prize be P.Given the following data;
J = $160J = 5P/11To find the value of the prize;
[tex] \frac {5}{11} * P = 160 [/tex]
[tex] \frac {5P}{11} = 160 [/tex]
Cross-multiplying, we have;
[tex] 5P = 160 * 11 [/tex]
[tex] 5P = 1760 [/tex]
[tex] P = \frac {1760}{5} [/tex]
Prize, P = $352
For each question circle the best choice.
Which of the following is an algebraic expression?
x + 5 = 7
5 - 2x = 3
5x + 4- 2x
-2 = 3x +1
5x+4-2x là biểu thức đại số
Find the value of b. PLEASE HELP ASAPPPP!!!!
A. 56
B. 140
C. 230
D. 65
Answer:
C
Step-by-step explanation:
b=360-2(65)=360-130=230
Answer:
230
Step-by-step explanation:
b= 360-2(65)
=360-130
=230
The diagonals of a rhombus are perpendicular
Answer:
true
Step-by-step explanation:
help mee pls plss fast
Difference between a 1 inch button and ⅜ inch button
[tex] = 1 \: inch - \frac{3}{8} \: inch \\ = \frac{8}{8} \: inch - \frac{3}{3} \: inch \\ = \frac{(8 - 3)}{8} \: inch \\ = \frac{5}{8} \: inch[/tex]
Answer:
5/8
Step-by-step explanation:
To determine the difference, we do:
1 - 3/8
8/8 - 3/8
5/8
A 1 inch button is 5/8 inches longer than a 3/8 inch button.
Find the measures of the indicated angle
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 32/33
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 (32/33)
? =75.85888
To the nearest degree
? = 76
On a map, 1 in represents 420 miles. How much does 3/4 in represent?
Answer:
315
Step-by-step explanation:
420 x 3/4 = 315
Answer:
315 miles
Step-by-step explanation:
We can write a ratio to solve
1 inch 3/4 inches
------------ = ---------------
420 miles x miles
Using cross products
1 * x = 420 * 3/4
x=315
Pls what is the formula for finding the base and the height of a triangular pyramid.
Answer:
Take the Cubits and multiply
Step-by-step explanation:
This is a problem i had so just fill it in to your numbers etc.
A= 43.3 cubits squared
SA= the base of A +1/2 (p x slant h)
SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)
To sum it up u can message me ur numbers and ill help
The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Answer:
Kindly check explanation
Step-by-step explanation:
Given the T test output :
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Given that population mean, μ = 6
Confidence level, α = 0.05
The hypothesis :
H0 : μ = 6.00
H1 : μ < 6.00
From the t test output given :
The test statistic :
T = -3.033077
T = - 3.03 (2 decimal places)
The Pvalue :
P = 0.002025
Pvalue = 0.002 (3 decimal places)
The conclusion :
Decision region ; Reject H0 : if Pvalue < α
Since ; Pvalue < α
Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.
