Which statement is true regarding the graphed functions?

On a coordinate plane, a red curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A blue curved line with an upward arc, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).

Answer:

The rate is 3/8 cup of corn starch per cup of water!

Step-by-step explanation:

If you have any questions feel free to ask!

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Responder:

c. x menos 25 menos estilo en línea fracción 4 entre 19 fin estilo paréntesis izquierdo x menos 25 paréntesis derecho igual 3

Explicación paso a paso:

Dado lo siguiente:

Cantidad original de gasolina en el tanque de combustible = x

Gasolina consumida en el primer viaje = 25 litros

Gasolina restante después del primer viaje = (x - 25) litros

Gasolina consumida en el segundo viaje = 4/19 de lo que queda, es decir;

(4/19) * (x - 25)

Gasolina restante después del segundo viaje = 3 litros

Cantidad inicial - cantidad consumida en el primer viaje - 4/19 de la cantidad restante después del primer viaje = 3

La gasolina que queda después del segundo viaje se puede modelar mediante la ecuación:

x - 25 - 4/19 (x - 25) = 3

A function which could be the function graphed above "On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right" is: D. f(x) = √(x + 4).

In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

This ultimately implies that, there are four (4) major types of quadrants in any graph and these include the following:

In this scenario, we would use an online graphing calculator to plot all of the given functions in order to determine the function that was graphed, which we can logically deduce that it is function f(x) = √(x + 4).

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Complete Question:

Which could be the function graphed below?

On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.

f(x) = √(x - 5) + 1

f(x) = √(x - 2)

f(x) = √x

f(x) = √(x + 4)

Answer:

The numerator will simplified to 13t-2

Step-by-step explanation:

After you write the numerators with the common denominator, you collect like terms and then calculate.

Answer:

A , B , E

Step-by-step explanation:

Correct on edge 2021. Just did the assignment.

Have a good day <3

Hi there!

Answer:

Find points for the equation y = 2x + 1 by plugging in x values:

For example, when x = 1, substitute in the value of 'x' into the equation:

y = 2(1) + 1

y = 2 + 1

Solve for the y-value:

y = 3

Repeat this process for multiple points:

X                               Y

-2                              -3

-1                                -1

0                                 1

1                                  3

2                                  5

To get the graph of y = 2x + 1, simply graph these points. :)

Point L separates segment JK into two segments, creating a 1:3 ratio from segment JL to segment LK. The point L coordinates are \((\frac{7}{2},-6)\).

Given that,

The line segment JK's endpoints on a coordinate plane are J (-10, 12). K (8,-12). Point L separates segment JK into two segments, creating a 1:3 ratio from segment JL to segment LK.

We have to find the point L's coordinates.

It is possible to calculate the coordinates of the points splitting the line segment in the ratio m:n as follows:

\((\frac{mx_{1} +nx_{2} }{m+n}, \frac{my_{1} +ny_{2} }{m+n})\)

Here, the first point J's coordinates are (-10, 12) are x₁,y₁, while the second point K's coordinates are x₂, y₂ (8, -12).

Given that the ratio is 1:3, m will be 1 and n will be 3, in this situation.

All of these numbers can be used to get the coordinates of point L.

\((\frac{1(-10)+3(8)}{1+3} ,\frac{1(12)+3(-12)}{1+3} )\)

\((\frac{14}{4} ,\frac{-24}{4} )\)

\((\frac{7}{2},-6)\)

Therefore, The point L coordinates are \((\frac{7}{2},-6)\).

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Answer:

(2x + 3)3

Step-by-step explanation:

Simplify:  (2x+3)(3)

Answer: (2x + 3)3

Hope this helps.

Answer: The answer is B, 5/12.

hope this helped :)

Answer:

B. 5/12

Step-by-step explanation:

2/3 x 5/8 = 10/24

The greatest common factor of 10 and 24 is 2.

Since the GCF is 2,

We divide the numerator and denominator by 2 and get 5/12.

Therefore, the simplified fraction of 10/24 is 5/12.

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

Maths:

Round 1

1) Grapes cost £1.50 per kg and carrots cost £1.00 per kg. How much would it costs for 3kg of

grapes and half a kilogram of carrots? £5

2) Jenny decides to share her sweets between herself and her 3 friends. She has 212 green

sweets, 310 blue sweets and 502 yellow sweets. How many sweets will Jenny and her friends

get each? 256

3) Large chocolate bars come with 32 pieces. Medium chocolate bars come with 24 pieces.

Barry buys 8 large bars of chocolate and 6 medium bars. How many pieces of chocolate will he

have altogether? 400

4) A flower shop sells roses for £1.79, carnations for £1.25 and buttercups for £1.30. Holly

decides to buy 3 roses and a buttercup. How much does she spend? £6.67

5) Pencils come in packs of 12 and each pack costs £1.19. Mr Green needs to buy a pencil for

each of the 50 children in his class. How much will he spend on pencils? £5.95

Round 2

1) Mrs Orange decides to share her savings between her six grandchildren. She has £350 in

her savings tin and £1450 in her savings account. How much will each of her grandchildren get?

£300

2) Green lollipops come in packs of 5, yellow lollipops come in packs of 6 and blue lollipops

come in packs of 4. A school buys 32 packs of blue lollipops and 18 packs of green lollipops.

How many lollipops will they buy altogether? 218

3) The baker’s oven can bake 28 loaves of bread at a time. In a day, it can go through 30 full

bakes. How many loaves of bread would be baked after 1 week? 5880

4) Ms Purple sells cars for a living. In one day, she sells 2 blue cars (at £4500 each), 7 yellow

cars (at £6000 each) and 12 black cars (at £8000 each). How much money does she take in car

sales in that one day? £147,000

5) Coaches carry 58 people. A school decides to take its 300 pupils and 38 staff on a visit to the

beach. A single coach costs £128. How much will the total cost of the coaches come to? £768

Topic:

Fruit Veg

Quince

raspberry

Lettuce

garlic

tomato

strawberry

grape

pumpkin

blackberries

nashi

kiwi

chilli

pear

passion fruit

cantaloupe

fig

eggplant/aubergine

cucumber

lemon

peach

lime

watermelon

pineapple

Zucchini/courgette

grapefruit

persimmons

mango

plum

cauliflower

Broccoli

Leeks

Fennel

Carrots

Coriander

Silverbeet

Snow peas

Beans

Celery

Beetroot

Peas

Artichoke

Sweet potato

Answer:

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

8x-3x-10

first you subtract 3from 8 and get 5 just add the x so your left with 10

Answer:

-2(x+9)

Step-by-step explanation:

x-8-3x-10

-4x-18

-2(x+9)

Hope it helps you

Answer:

536 people

Step-by-step explanation:

3477-2941=536

Answer:

536 more visitors visited the zoo last month this month.

Step-by-step explanation:

just subtract

Each person buys a number of cakes

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Andy buys x cakes, Betty buys 4 times as many cakes as andy, and colin buys 3 more cakes than andy

So,

Andy has = x Cakes

Betty have = 4x Cakes

Clin has = x +3 Cakes

Since each cake costs 65p and the total cost of the cakes is £52.65

thus,

0.65( x + 4x + x +3) = 52.62

x + 4x + x +3 = 81

6x = 78

x = 13

Therefore,

Andy has = 13 cakes

Betty has = 4x = 4*13 = 52 cakes

Colin has = x + 3 = 16 cakes

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The option that is extraneous solution of

√-3x-2=x+2 is A. -6.

From the information given, taking square both sides

-3x - 2 = (x + 3)²

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.

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Complete question

Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6

Answer:

see below

Step-by-step explanation:

length = x

width = y

x = 2y -4

2*(x+y) =94

x+y = 47

so x = 47-y

so  47-y= 2y -4

so 3y = 51

y = 17

x=30

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 50000\\ P=\textit{original amount deposited}\dotfill &\$23000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}\)

\(50000 = 23000\left(1+\frac{ ~~ \frac{r}{100} ~~ }{4}\right)^{4\cdot 7} \implies \cfrac{50000}{23000}=\left( 1+\cfrac{r}{400} \right)^{28} \\\\\\ \cfrac{50}{23}=\left( \cfrac{400+r}{400} \right)^{28}\implies \sqrt[28]{\cfrac{50}{23}}=\cfrac{400+r}{400} \\\\\\ 400\sqrt[28]{\cfrac{50}{23}}=400+r\implies 400\sqrt[28]{\cfrac{50}{23}}-400=r\implies \stackrel{ \% }{11.25}\approx r\)

Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6

0 = 2x² + 8x - 24

divide through by 2

x² + 4x - 12

x² + 4x = 12

x² + 4x + (4/2)² = 12 + (4/2)²

x² + 4x + 16/4 = 12 + 16/4

x² + 4x + 4 = 12 + 4

x² + 4x + 4 = 16

(x + 2)² = 16

Find the square root of both sides

(x + 2) = ±√16

x + 2 = ± 4

x + 2 = + 4 or x + 2 = -4

x = 4 - 2 or x = -4 - 2

x = 2 or x = -6

Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.

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Answer:

X=14

Step-by-step explanation:

Step-by-step explanation:

Given,

the bigger triangle (∆GFH), <HGF = 90° and <GFH = 60° and GF = 4

In the 30-60-90 triangle, FH = 4×2 = 8

or you can find it like this,

cos60 = 4/FH

FH = 4/cos60 = 8

Now, I is the midpoint of FH, so, FI = 8/2 = 4

now for ∆FGI,

<GFI = 60°, GF = 4, FI = 4, it's a equilateral triangle, so we can say GI = 4

Now we need to find the height of ∆FGI, for that,

area of ∆FGI = (√3/4)×4² = 4√3 = 6.92820323..

So height (GJ) = 2×area/side = 2×4√3/4 = 2√3 = 3.46410162.. [height of ∆GFI (Because altitude is perpendicular distance from a point) = GJ, given]

now, in ∆GJI, GJ = 2√3, GI = 4 and <GJI = 90° (since itsy altitude, the angle will be a right angle, i.e. 90°)

So, JI = √{4²-(2√3)²} = 2

Area = 2×2√3/2 = 2√3 = 3.46410162.. = 3.46 (rounded to the nearest hundredth)

Answer:

83.4

Step-by-step explanation:

Answer:

a)4.15 years

b)22.18 years

c)188.53 years

d)3027.66 years

Step-by-step explanation:

Formula : \(P(X\leq t)=1-e^{\frac{-t}{\lambda}}\)

So, \(P(X>t)=1-(1-e^{\frac{-t}{\lambda}})\)

\(P(X>t)=e^{\frac{-t}{\lambda}}\)

We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5

So, \(e^{\frac{-t}{\lambda}}=0.5\)

Taking natural log both sides

\(ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)\)

a)

\(\lambda =6\)

t=-(6) ln(0.5)=4.15 years

b)

\(\lambda =32\)

t=-(32) ln(0.5)=22.18 years

c)

\(\lambda =272\)

t=-(272) ln(0.5)=188.53 years

d)

\(\lambda =4368\)

t=-(4368) ln(0.5)=3027.66 years

Answer:

The answer to that depends on the company

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

$8.50 x 18% = $1.53